Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1159584: Please help me solve this equation.
The height h of a missile after t seconds, when fired straight up with an initial height of 2 feet, can be modeled by the function h(t)=-16t^2+150t+2
A.) When will the missile be 250 feet?
B.) When will the missile be at it's maximum height?
C.) What is the maximum height of the missile?
D.)Will the missile ever reach a height of 400ft?
Click here to see answer by MathLover1(20849)   |
Question 1159593: Please help me solve these.. I am having such a hard time.
A baseball player has a batting average of 0.245. What is the probability that he has exactly 4 hits in his next 7 at bats?
The results of a common standardized test used in psychology research is designed so that the population mean is 165 and the standard deviation is 20. A subject earns a score of 217. What is the z-score for this raw score?
Click here to see answer by jim_thompson5910(35256) |
Question 1159646: In a random sample of 250 students at a university, 202 stated that they were nonsmokers. Based on this sample, compute a 91% confidence interval for the proportion of all students at the university who are nonsmokers.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?
Click here to see answer by Boreal(15235)  |
Question 1159632: (Please help me. These are the last two questions for my homework. It's due in a few hours and I've been trying to solve them all day. Please be kind enough to help me.)
1. Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable
X as the number of defective cameras in the sample
Write the probability distribution for
K
1.
2.
3.
P(X=k)
1.
2.
3.
What is the expected value for X?
2. Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric (“Are babies normal?” The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the “typical” 37 - 43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3432 g and standard deviation σ = 482 g. The following questions refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes.
A. Compute the z-score of an infant who weighs 3779 g. (Round your answer to two decimal places.)
B. Approximately what fraction of infants would you expect to have birth weights between 2860 g and 4160 g? (Express your answer as a decimal, not a percent, and round to three decimal places.)
C. Approximately what fraction of infants would you expect to have birth weights above 4160 g? (Express your answer as a decimal, not a percent, and round to three decimal places.)
D.Approximately what fraction of infants would you expect to have birth weights above 4160 g? (Express your answer as a decimal, not a percent, and round to three decimal places.)
Click here to see answer by Boreal(15235) |
Question 1159545: The average weekly rent for flats and houses is $250. Suppose the rents are Normally distributed with a standard deviation of $40, what percentage of houses or flats rent for less than $200 per week?The average weekly rent for flats and houses is $250. Suppose the rents are Normally distributed with a standard deviation of $40, what percentage of houses or flats rent for less than $200 per week?
how do I go about this question?
Click here to see answer by Boreal(15235) |
Question 1159592: Please help me solve this word problem.
Suppose that coffee that is 155°F is poured into a coffee mug and allowed to cool in a room where the temperature is 65°F. The temperature T(in°F) of the coffee at time t ( in minutes) can be modeled by T(t) = 65 + 90e - 0.045t
According to the model when will the temperature of the coffee be 140°F?
Click here to see answer by Boreal(15235) |
Question 1159698: The probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%. What is the probability that a randomly selected day in April will be rainy or windy?
Click here to see answer by ikleyn(52750)  |
Question 1159688: You have a box of chocolates that contains 20 pieces of which:
5 are solid chocolate,
8 are filled with cashews, and
7 are filled with cherries.
All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece.
(a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.
(b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.
Click here to see answer by ikleyn(52750) |
Question 1159717: In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 3 inches. Out of the 836 boys who go to that school, how many would be expected to be shorter than 73 inches tall, to the nearest whole number?
Click here to see answer by VFBundy(438)  |
Question 1159716: A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following table gives the monthly distances in miles driven by a random sample of 11 sales persons:
2365, 2319, 1861, 2528, 2007, 2266, 2663, 2687, 2135, 1979, 2056
Based on this sample, find a 95% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
What is the lower limit of the confidence interval?
What is the upper limit of the confidence interval?
Click here to see answer by Boreal(15235) |
Question 1159739: Suppose the annual consumption of chicken mean is 20.84 pounds per person, and the standard deviation for the consumption of chicken per person is 9.193 pounds. The mean weight of chicken consumed for a sample of 200 randomly selected people is one value of many that form the sampling distribution of sample means.
a) What is the value for this sampling distribution?
b) What is the standard deviation of this sampling distribution?
Click here to see answer by Boreal(15235) |
Question 1159508: A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 4.5 ounces. After the redesign, the absorption amounts of a sample of 85 sponges were 4.2 ounces. What is the critical value for this test at the 0.01 level of significance to test?
Click here to see answer by Boreal(15235) |
Question 1159523: Suppose that 𝑋 is normally distributed with mean 95 and standard deviation 16.
A. What is the probability that 𝑋 is greater than 119? Probability =
B. What value of 𝑋 does only the top 17% exceed?
I figured out part A and got 0.066807. However, I can't figure out part B. Please help
Click here to see answer by Boreal(15235) |
Question 1159564: Of the 52 students in a class, 44 are taking the class because it is a major requirement, and the other 8 are taking it as an elective. If two students are selected at random from this class, what is the probability that the first student is taking the class as an elective and the second is taking it because it is a major requirement? What is the probability that the first student is taking the class because it is a major requirement and the second student is taking the class as an elective?
Click here to see answer by Boreal(15235) |
Question 1159710: Complaints about an Internet brokerage firm occur at a rate of 4 per day.
The number of complaints appears to be Poisson distributed.
The probability that the firm receives 6 or more complaints in a day is (to four decimal places):
Click here to see answer by Boreal(15235) |
Question 1159769: A drawer contains 10 red socks, 6 white socks, and 8 blue socks. Without looking, you draw out a sock,return it, and draw out a second sock. A) What is the probability that the first sock is blue and the second sock is white? Showing all work B) State whether this is dependent or independent events.
Click here to see answer by ikleyn(52750) |
Question 1159792: A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following table gives the monthly distances in miles driven by a random sample of 16 sales persons:
2415, 2221, 2481, 2618, 2660, 1967, 2260, 1938, 2410, 2062, 2466, 2484, 2603, 1994, 2328, 1861
Based on this sample, find a 90% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?
Click here to see answer by Boreal(15235) |
Question 1159792: A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following table gives the monthly distances in miles driven by a random sample of 16 sales persons:
2415, 2221, 2481, 2618, 2660, 1967, 2260, 1938, 2410, 2062, 2466, 2484, 2603, 1994, 2328, 1861
Based on this sample, find a 90% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?
Click here to see answer by Edwin McCravy(20054)  |
Question 1159791: The lifetime of a certain brand of battery is known to have a standard deviation of 11.5 hours. Suppose that a random sample of 80 such batteries has a mean lifetime of 43.9 hours. Based on this sample, find a 99% confidence interval for the true mean lifetime of all batteries of this brand.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
What is the lower limit of the 99% confidence interval?
What is the upper limit of the 99% confidence interval?
Click here to see answer by Boreal(15235) |
Question 1159591: Please help me solve this word problem
Adams High prevailed in a track meet with the help of 20 individual-event placers earning a combined 68 points. A first-place finish earns 5 points, a second place finish earns 3 points, and a third-place finish earns 1 point. Adams had a strong second place showing, with as many second-place finishers as first-and third place finishers combined. Use a system of linear equations to model the data. Solve the system to find how many athletes finished in each place.
Click here to see answer by Boreal(15235) |
Question 1159617: In clinical trials of Nasonex, 3774 patients were randomly divided into two groups. The patients in group 1 (experimental group) received 200 milligrams of Nasonex, while the patients in group 2 (control group) received a placebo. Of the 2103 patients in the experimental group, 547 reported headaches as a side effect. Of the 1671 patients in the control group, 368 reported headaches as a side effect. Is there significant evidence to conclude that the proportion of Nasonex users who experienced headaches as a side effect is greater than the proportion in the control group at the alpha = 0.05 level of significance? To answer this, complete the following steps.
(a) State the appropriate Null Hypothesis and Alternate Hypotheses
(b) Find the appropriate “p of hat” for the experimental group.
(c) Check the appropriate criteria to continue the appropriate testing has been met.
(d) Use your calculator to directly find the z-score and p-value for this situation.
(e) Complete your analysis and explain what your results determine about the hypothesis statements for this situation.
Click here to see answer by Boreal(15235) |
Question 1159689: The following is a probability function used to depict the projected net income (in millions) in the coming year for ABC Limited:
Net Income (X) Probability (f(X))
-1.0 0.24
0 0.18
1 0.48
2.5 b
What is the probability that the company makes more than $2 million in the coming year? (1 mark)
What is the expected net income for ABC Limited, i.e., what is the expected value of this probability distribution? (2 marks)
What is the standard deviation of expected net income?
Click here to see answer by Boreal(15235) |
Question 1159827: From a well-shuffled standard deck of cards, 8 cards are dealt to a player. Let
A= event that exactly 3 cards are red
B= event that exactly 3 cards are face cards (K, Q, J)
C= event that exactly 5 cards are spades
Determine the following probabilities:
a. P(A)
b. P(B)
c. P(C)
d. P(AB) (Hint: Express the events as a union of mutually exclusive events, each event
describing how many red face cards, black face cards, red non-face cards, black nonface cards)
e. P(AC)
f. P(BC)
g. P(ABC)
h. P(A∪B∪C)
Click here to see answer by Alan3354(69443)  |
Question 1159832: The temperature (in ◦C) at noon on a summer day is a normal random variable X with µ = 30.10 and σ2 = 5.76. What is the probability of the event that noon temperature on a selected summer day is between 30.22◦C and 35.5◦C? *
Click here to see answer by Boreal(15235) |
Question 1159828: Three balls are picked at random one by one from a box containing four white and eight black
balls. Find the following probabilities:
a. The first and third ball are white;
b. The third ball is white given that the first ball is white
Click here to see answer by Boreal(15235) |
Question 1159862: The life of a Radio Shack record player is normally distributed with a mean of 3.8 years and a standard deviation of 1.1 years. Radio Shack guarantees its record players for 2 years.
(a) Find the probability that a record player will last less than 2 years?
%
(b) Find the probability that a record player will last more than 4 years?
%
Click here to see answer by Boreal(15235) |
Question 1159860: In a class of 150 students, 95 are taking math (M), 77 are taking science (S), and 53 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)=????????????
(Round to three decimal places as needed.)
Click here to see answer by ikleyn(52750) |
Question 1159860: In a class of 150 students, 95 are taking math (M), 77 are taking science (S), and 53 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)=????????????
(Round to three decimal places as needed.)
Click here to see answer by Boreal(15235) |
Question 1159809: A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 901 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.02 hours with a standard deviation of 0.66 hour.
Determine and interpret a 99% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day.
Click here to see answer by Boreal(15235) |
Question 1159756: In a survey, 376 out of 1,078 US adults said they drink at least 4 cups of coffee a day. Find a point estimate (P) for the population proportion of US adults who drink at least 4 cups of coffee a day, then construct a 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day.
Click here to see answer by Boreal(15235) |
Question 1159873: The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data.
Hours, x Scores, y
3 65
5 80
2 60
8 88
2 66
4 78
4 85
5 90
6 90
3 71
A) y = 5.044x + 56.113
C) y = -56.113x - 5.044
B) y = 56.113x - 5.044
D) y = -5.044x + 56.113
Click here to see answer by Boreal(15235) |
Question 1159871: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 75 women are randomly selected,
a) find the probability that they have a mean height between 63 and 65 inches.
b) find the probability that they have a mean height greater than 63.0 inches.
Click here to see answer by Boreal(15235) |
Question 1159867: A particular fruit's weights are normally distributed, with a mean of 409 grams and a standard deviation of 9 grams.
If a fruit is picked at random then 17% of the time, its weight will be greater than how many grams?
Give your answer to the nearest gram.
Click here to see answer by Boreal(15235) |
Question 1159880: The incomes of junior executives in a large corporation are normally distributed with a standard deviation of $1,200. A cutback is pending, at which time those who earn less than $15,000 are to be discharged. If such a cut represents 10% of the junior executives, what is the current mean salary of the group of junior executives
Click here to see answer by Boreal(15235) |
Question 1159865: A TV manufacturer knows that their TV's have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of 0.8 years.
If a TV is picked at random, 3% of the time its life will be less than how many years?
Give your answer to one decimal place.
Click here to see answer by Boreal(15235) |
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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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