Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1160794: Medical statistics indicate that 20% of the population will have cancer in their lifetimes. A group of 12 babies is selected at random.
What is the probability that at least 5 will get cancer in their lifetime?
Record the answer to four decimal places (x.xxxx)
Click here to see answer by ikleyn(54018)   |
Question 1160892: Sharlize conducts an experiment with 200 students and finds that her control group had a mean of 24 questions right, with the lowest being 10 questions right and the highest being 30. If the standard deviation is 2.7, how many students received between and 18 and 25 questions correct. Explain your process using normalcdf.
Click here to see answer by ikleyn(54018) |
Question 1160892: Sharlize conducts an experiment with 200 students and finds that her control group had a mean of 24 questions right, with the lowest being 10 questions right and the highest being 30. If the standard deviation is 2.7, how many students received between and 18 and 25 questions correct. Explain your process using normalcdf.
Click here to see answer by CPhill(2285)  |
Question 1160891: Sharlize conducts an experiment with 200 students and finds that her control group had a mean of 24 questions right, with the lowest being 10 questions right and the highest being 30. If the standard deviation is 2.7, how many students received between and 18 and 25 questions correct. Explain your process using normalcdf.
Click here to see answer by ikleyn(54018) |
Question 1160891: Sharlize conducts an experiment with 200 students and finds that her control group had a mean of 24 questions right, with the lowest being 10 questions right and the highest being 30. If the standard deviation is 2.7, how many students received between and 18 and 25 questions correct. Explain your process using normalcdf.
Click here to see answer by CPhill(2285) |
Question 1159039: The surname of 40 students in a class was arrange in alphabetical order.16 of the surnames begin with O while 9 of the surnames begin with A. 14 of the letters of the alphabet do not appear as the first letter of the surname.
i.what is the probability that the surname of a child picked at random from the class begins with either A or O?
ii.if more than one surname begin with a letter besides A and O, how many surnames begins with that letter?
Click here to see answer by ikleyn(54018) |
Question 1160974: The data below represent the number of days absent per year in a population of three employees of a small company:
1 4 7
a. Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the property called?
b. Repeat (a) for all the sampling distribution of the mean in (a) for n= 3. Which sampling distribution has less variability? Why?
c. Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distribution have the least variability - those in (a) or (b) ? Why?
Click here to see answer by CPhill(2285) |
Question 1160976: The data below represent the number of days absent per year in a population of three employees of a small company:
1 4 7
a. Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the property called?
b. Repeat (a) for all the sampling distribution of the mean in (a) for n= 3. Which sampling distribution has less variability? Why?
c. Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distribution have the least variability - those in (a) or (b) ? Why?
Click here to see answer by CPhill(2285) |
Question 1161134: There is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.)
Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.74%, with a standard deviation of 0.16%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years.
A) According to Chebyshev’s theorem, at least 8/9 (about89%) of the relative increases in stock price lie between BLANK % and BLANK %. (round your answer to 2 decimal places.)
B) According to Chebyshev’s theorem, at least BLANK of the relative increases in stock price lie between 0.42% and 1.06%.
C) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately BLANK of the relative increases in stock price lie between 0.42% and 1.06%
D) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the relative increases in stock price lie between BLANK % and BLANK %
Click here to see answer by CPhill(2285) |
Question 1161136: BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 913 hours, with a standard deviation of 94 hours. Suppose that this mean and standard deviation apply to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries.
A) According to Chebyshev’s theorem, at least 84% of the lifetimes lie between BLANK hours and BLANK hours. (round your answer to the nearest integer.)
B) According to Chebyshev’s theorem, at least BLANK of the lifetimes lie between 725 hours and 1101 hours.
C) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately BLANK of the lifetimes lie between 725 hours and 1101 hours.
D) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the lifetimes lie between BLANK hours and BLANK hours.
Click here to see answer by CPhill(2285) |
Question 1161646: PLEASE HELP ----> Given Car fuel efficiency data: Mean = 34 and Standard Deviation = 2.2
Find:
A) Probability 3 randomly selected cars exceed 37.3
B) Original raw score C, given 85% of all cars have efficiencies exceeding C, (namely P(x>C)=.85)
C) Given new random variable y = 3x - 10 Find P(y>102)
(I did the work and I want to check my answers with one you. please show work in case I get it wrong, thanks!)
Click here to see answer by CPhill(2285) |
Question 1161694: Americans ate an average of
25.7 pounds of confectionary products each last year
and spent an average of $61.50 per person doing so. If
the standard deviation for consumption is 3.75 pounds
and the standard deviation for the amount spent is
$5.89, find the following:
a. The probability that the sample mean confectionary
consumption for a random sample of 40 American
consumers was greater than 27 pounds
b. The probability that for a random sample of 50, the
sample mean for confectionary spending exceeded
$60.00
Click here to see answer by CPhill(2285) |
Question 1161780: J.J. Thomson (1856 - 1940) discovered the electron by
negatively charged particles for which he could measure
the mass - change ratio. The ratio appeared to be
constant over a wide range of experimental conditions
and consequently could be characteristics of a new
particle. His observations from two cathode ray tubes
that used air as the gas arethat used air as the gas are
Tube 1 0.57 0.34 0.43 0.32 0.48 0.40 0.40
Tube 2 0.53 0.47 0.47 0.51 0.63 0.61 0.48
(i) Draw dot diagram with solid dots for Tube 1
observations and circles for Tube 2 observations.
(ii) Calculate the mean and standard deviation for the
Tube 1 observations.
(iii) Calculate the mean and standard deviation for the
Tube 2 observations.
Click here to see answer by CPhill(2285) |
Question 1157314: How many different ways can two balls be drawn from a bag containing five balls? Each ball is a different color, and the first ball is replaced before the second one is selected. How many different ways are there if the first ball is not replaced before the second one is selected?
Click here to see answer by ikleyn(54018) |
Question 1160500: Let A be the event that a randomly selected college student has taken a statistics course and let B be the event that the same student has taken a chemistry course. Suppose P(A)=0.4, P(B)=0.3, and P(A⋂▒〖B)=0.2〗.
Find the probability that a student has taken statistics or chemistry.
Find the probability that a student has taken not statistics and not chemistry.
Find the probability that a student has taken statistics but not chemistry.
Fine the probability that a student taken chemistry, given that he has taken statistics.
Click here to see answer by ikleyn(54018) |
Question 1159021: According to a recent survey, the salaries of assistant professors have a mean of 41,750 and a standard deviation of 7000 . Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn more than 48,000. Round your answer to at least four decimal places.
Click here to see answer by ikleyn(54018) |
Question 1159022: Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 75,000 miles and a standard deviation of ~ miles. These tires come with a 55,000 -mile warranty. The manufacturer of the tires can adjust ~ during the production process, but the adjustment of ~ is quite costly. The manufacturer wants to set once and for all so that only 1% of the tires will fail before warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Click here to see answer by ikleyn(54018) |
Question 1160673: Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored between 455 and 573 on the exam?
Click here to see answer by the_limit_DNE(3) |
Question 1158866: Urn A contains 5 red marbles and 3 white marbles.
Urn B contains 1 red marble and 2 white marbles.
A fair die is tossed; if a 3 or 6 appears, a marble is drawn from B and put into A and then a marble is drawn from B.
a. what is the probability that both marbles are red?
b. what is the probability that both marbles are white?
Click here to see answer by KMST(5434)  |
Question 1158362: 2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and $30 for the second. Suppose 53% of passengers have no checked luggage, 29% have only one piece of checked luggage and 18% have two pieces. We suppose a negligible portion of people check more than two bags.
a) The average baggage-related revenue per passenger is: $ (please round to the nearest cent)
b) The standard deviation of baggage-related revenue is: $ (please round to the nearest cent)
c) About how much revenue should the airline expect for a flight of 130 passengers? $ (please round to the nearest dollar)
Click here to see answer by KMST(5434) |
Question 1161858: Suppose that the probability that a passenger will miss a flight is 0.0957. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 59 passengers.
(a) If 61 tickets are sold, what is the probability that 60 or 61 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 65 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of
52 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 5%?
Click here to see answer by CPhill(2285) |
Question 1162016: Runner's World reported that a survey by Converse of people who regularly run for exercise resulted in the data shown here. The intent of the survey was to determine if the distances were independent of runners' preference for a gel-like product built into the heels of their jogging shoes. At the 1 percent level, does there appear to be any relationship? State the hypotheses.
Distance/week (miles): <3, 3-6, 7-10, 10-13, >13
Prefer Gel: 14, 18, 12, 17, 19
Do not prefer gel: 5, 5, 8, 12, 8
No opinion: 27, 17, 8, 5, 2
Click here to see answer by CPhill(2285) |
Question 1162247: 1. A business owner has designed a pay scale for his employees that follow this distribution, f(x) = (20-x)/50, 10 <= x <= 20. The mean hourly rate at this business is $13.33. If an auditor randomly selects 20 employees from the company, how likely is she to observe an AVERAGE hourly rate above $15.
2. The variable x comes from the mgf, M(t) = 1/(1-nt)^alpha, where n = 2, alpha = 11.5. Find the probability that x is between 14.848 and 32.007.
Click here to see answer by CPhill(2285) |
Question 1162262: The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. What is the cutoff point?
317
355
433
468
471
391
408
437
455
345
519
467
425
534
425
530
513
348
521
389
Click here to see answer by CPhill(2285) |
Question 1162307: A mechanical engineer is analyzing tensile strength of steel ( API 5L X65). A sample of 7 specimens showed a sample mean of 530 MPa. The standard deviation is known to be LaTeX: MPaσ = 5 . A 95% upper confidence interval for the true mean tensile strength is:
Click here to see answer by CPhill(2285) |
Question 1162465: Raw material used in the production of synthetic fiber is stored in a place which has no humidity control. Measurements of the relative humidity in the storage place and the moisture content of a sample of the raw material (both in percentages) on 12 days yielded the following results:
Humidity x 42 C5 50 4C 48 62 C1 C6 44 C9 55 48
Moixture content y 12 8 14 9 11 16 7 9 12 10 1C 11
(i) Make a scatter plot to verify that it is reasonable to assume that the regression of y on x is linear (ii) Fit a straight line by the method of least squares, (iii) Estimate the moisture content when humidity is 45%. (iv) Determine the correlation coefficient.
Click here to see answer by CPhill(2285) |
Question 1162467: An industrial engineer intends to use the mean of a random sample of size n = 150 to estimate the average mechanical aptitude (as measured by a certain test) of assembly line workers in a large industry. If on the b basis of experience, the engineer can assume that alpha = 6.2 for such data, what can be assert with probability 0.99 about the maximum size of his error?
Click here to see answer by CPhill(2285) |
Question 1162599: A box contains 5 yellow balls and 3 green balls. Draw 2 balls without
replacement. If X represents the number of yellow balls and Y represents the
number of green balls drawn. What is the covariance of X and Y?
Click here to see answer by CPhill(2285) |
Question 1162634: An analyst estimates that the probability of default on a seven-year AA-rated bond is 0.47, while that on a seven-year A-rated bond is 0.53. The probability that they will both default is 0.45.
a. What is the probability that at least one of the bonds defaults? (Round your answer to 2 decimal places.)
b. What is the probability that neither the seven-year AA-rated bond nor the seven-year A-rated bond defaults? (Round your answer to 2 decimal places.)
c. Given that the seven-year AA-rated bond defaults, what is the probability that the seven-year A-rated bond also defaults? (Round your answer to 2 decimal places.)
Click here to see answer by CPhill(2285) |
Question 1162676: A random variable X is exponentially distributed with an expected value of 67.
a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
b. Compute P(58 ≤ X ≤ 76). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. Compute P(55 ≤ X ≤ 79). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Click here to see answer by CPhill(2285) |
Question 1162804: A multiple choice test has 25 questions, each with 5 possible choices, exactly one of which is correct.
The test is marked by giving four points to each correct choice, and subtracting one point for each
incorrect choice. No points are either given or subtracted for questions for which no choice is selected.
Mickey and Bianca each know the answer to 12 of the 25 questions, but are unsure about the rest.
Mickey leaves the other 13 unanswered, whereas Bianca answers them randomly, picking one choice
for each question with equal probabilities, independently between questions.
(a) Find the expectation and variance of the number of questions that Bianca gets correct.
(b) Find the expectation and variance of the mark that Bianca gets.
(c) Find the expectation and variance of the mark that Mickey gets.
Click here to see answer by CPhill(2285) |
Question 1162932: A random variable X is exponentially distributed with an expected value of 67.
a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
b. Compute P(58 ≤ X ≤ 76). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. Compute P(55 ≤ X ≤ 79). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Click here to see answer by CPhill(2285) |
Question 1163084: 1. Three supermarket chains in Quezon City each claim to have the lowest overall prices. As part of an investigative study on supermarket advertising, a particular news company selected nine available grocery items on a particular day. Then, the price of each selected item was checked at each of the three chains as shown in the table. Use = 0.05 to compare the prices.
Item Supermarket 1 Supermarket 2 Supermarket 3
1 55.00 50.10 52.57
2 56.00 54.05 59.45
3 84.50 93.85 102.20
4 109.80 102.65 114.00
5 117.90 103.15 113.00
6 198.50 212.25 203.90
7 248.10 243.20 248.10
8 229.95 202.95 229.45
9 271.20 268.25 287.90
Click here to see answer by CPhill(2285) |
Question 1163125: Help needed please....
Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p-value
a. x = 46; n = 118 _______
b. x = 112; n = 311 _______
c. p¯ = 0.38; n = 53 _______
d. p¯ = 0.38; n = 430 _______
Click here to see answer by CPhill(2285) |
Question 1163233: H0: μ = 73
HA: μ ≠ 73
Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)
1. x¯ = 70; s = 6.9; n = 35
A. p-value < 0.01
B. p-value > or equal to 0.10
C. 0.01 < or equal to p-value < 0.02
D. 0.05 < or equal to p-value < 0.10
E. 0.02 < or equal to p-value < 0.05
2. x¯ = 76; s = 6.9; n = 35
A. 0.01 < or equal to p-value < 0.02
B. p-value < 0.01
C. p-value > or equal to 0.10
D. 0.05 < or equal to p-value < 0.10
E. 0.02 < or equal to p-value < 0.05
Click here to see answer by CPhill(2285) |
Question 1163235: The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 98.2% of the people who have that disease. However, it erroneously gives a positive reaction in 1.3% of the people who do not have the disease.
a. Calculate the probability of a Type I error and round your answer to 3 decimal places.
b. Calculate the probability of a Type II error and round your answer to 3 decimal places.
Click here to see answer by CPhill(2285) |
Question 1163238: Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p value
a. x = 46; n = 118 _______
Click here to see answer by CPhill(2285) |
Question 1163253: Consider the following hypotheses:
H0: μ = 73
HA: μ ≠ 73
Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)
a. x¯= 70; s = 6.9; n = 35
b. x¯ = 76; s = 6.9; n = 35
c. x¯ = 70; s = 6.4; n = 19
d. x¯ = 70; s = 6.4; n = 24
Click here to see answer by CPhill(2285) |
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3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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