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Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 245189: Assume that the average annual salary for a worker in the United States is $28,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,500. Find the following:

(A)What percentage of Americans earn below $24,000?
(B)What percentage of Americans earn above $36,000?
Click here to see answer by stanbon(75887)

Question 245397: mean of a set of number given below is 6 with mode . find the median.
9, 7, x, 5, y, z, 7, 20
Click here to see answer by stanbon(75887)

Question 245523: Two percent of the parts produced by a machine are defective. Twenty parts are selected at random.
What is the probability that the number of defective parts will be more than 2 but fewer than 6?
Click here to see answer by stanbon(75887)

Question 245511: If 5 patients in a hospital are to undergo surgery in which the survival rate is 50%, what is the probability that---all will survive? three will survive?
more than half will survive?
Click here to see answer by edjones(8007)

Question 245629: the mean grade for the class is 73. if exactly half of the students get 6 additional points, by how many points would the mean increase
Click here to see answer by edjones(8007)

Question 245678: The average size of the fish in a lake is 11.4 inches, with a standard deviation of 3.2 inches. How do I Find the probability of catching a fish longer than 17 inches.

Click here to see answer by stanbon(75887)

Question 245691: 2 cards are drawn in succession and without replacement from a standard deck of 52 cards. how many sets of 2 are possible?
Click here to see answer by Alan3354(69443)

Question 245702: Can you please tell me if I am on the right track? Thanks sooo much!!!
The question is:
What are the odds in favor of drawing a face card from an ordinary deck of playing cards?
AND I have:
12:40 or 3:10
Click here to see answer by richwmiller(17219)

Question 245680: Can you please help me make sense of this!!! Thanks so much in advance for your time!!!
Suppose the drawer contains six black socks, four brown socks, and two green socks. Suppose a cat draws one sock from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for the following:
A cat reaches in the drawer without looking to pull out four socks. What is the probability that the cat gets two socks of the same color?
Click here to see answer by scott8148(6628)

Question 245774: A given locality has the telephone prefix of 237.
a. How many seven-digit phone numbers are possible with this prefix?
b. How many of these possibilities have four ending numbers that are all equal?
c. What is the probability of having one of the numbers in part (b)?
d. What is the probability that the last four digits are consecutive (i.e.,1234)?
Thank you,
Marney
Click here to see answer by jsmallt9(3758)

Question 245777: Given a level of confidence of 99% and a population standard deviation of 10, what other information is necessary:
(A) To find the Maximum Error of Estimate (E)?

(B) To find the sample size (n)?

(C) Given the above confidence level and population standard deviation, find the Maximum Error of Estimate (E) if n = 45. Show all your calculations. Show all work.

(D) For this same sample of n = 45, what is the width of the confidence interval around the population mean? Show all work.

(E) Given this same confidence level and standard deviation, find n if E = 3.5. (Always round to the nearest whole person.) Show all work.

Click here to see answer by stanbon(75887)

Question 245776: A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct. If the standard deviation is 4.4, how large a sample is needed to get the desired information to be accurate within 0.65 decibels
Click here to see answer by stanbon(75887)

Question 245772: A coin is tossed. If it lands heads up, a die will be tossed. If it lands tails up, a spinner with equal sections of blue, red and yellow will be spun. Draw a two-stage tree for the experiment.
Any help you can offer for this problem is much appreciated.
Thank you,
Marney

Click here to see answer by stanbon(75887)

Question 245770: An urn contains 3 red and 2 white numbered balls. A sample of 2 balls is randomly chosen. Find the average number of red balls in the sample.
Click here to see answer by stanbon(75887)

Question 245865: A card is selected at random from a standard deck. What are the odds that the card is not the ace of spades?
Click here to see answer by dabanfield(803)

Question 245866: Two six-sided dice are tossed. What is the probability that their sum is greater than 7, given that the first roll was a 4?
Click here to see answer by dabanfield(803)

Question 245729: Why is the normal distribution not a good approximation of a binomial distribution that has a value of p close to 0 or 1?
Click here to see answer by stanbon(75887)

Question 245894: In a dice game, a player rolls two dice. His score is the larger of the two numbers on the dice. For example, if he rolls 3 and 5, his score is 5, and if he rolls 4 and 4, his score is 4. What is the probability that his score is 3 or less?
Click here to see answer by stanbon(75887)

Question 245824: There are 100 students overall, and they are distributed into 4 classrooms of equal size. There are 54 girls and 46 boys. What is the probability that
a) a class will have 15 girls
b) a class will have 15 boys
c) a class will have more than 20 girls
Click here to see answer by stanbon(75887)

Question 245679: A company installs 5,000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve. How would I Find the approximate number of bulbs that can be expected to last the period of time.Between 500 hours and 675 hours.

Click here to see answer by stanbon(75887)

Question 245677: How do I find the percent of the area between the mean and 1.64 deviations from the mean.

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Question 245652: 11. Discuss under what circumstances the binomial probability formula should be used in a probability problem.
Click here to see answer by stanbon(75887)

Question 245945: 47. Broadway In the survey described in Exercise 46, the demographics of the Broadway performers were recorded as shown on the following page.� Assume that all of these demographics follow a normal distribution, an assumption that always must be verified prior to using it in real situations.
a. Find the probability that a female dancer is 35 years old or older.
b. Find the probability that a male dancer is 35 years old or older.
c. Compare your answers to parts a and b.

d. Find the probability that a female performer is 1.4 m tall or taller.
e. Find the probability that a female performer has a career duration that is more than 1.5 standard deviations from the mean.
f. Would a female who has more than 6 injuries during her career be considered a rare event? Explain.
Mean Standard Deviation
Dancer�s Age (female) 28 ---- 5.5
Dancer�s Age (male) 32.2 ---- 8.4
Height (in m) (female) 1.64 ---- 0.08
Duration as Professional in yr (female) 11 ---- 8.9
Total No. of Injuries as Performer (female) 3 ---- 2.2

Click here to see answer by stanbon(75887)

Question 245940: A race track tote board has the odds for a horse listed as 5 to 3. Tote boards list the odds that a horse will lose the race. If this is the case, what is the probability of the horse winning the race?
Click here to see answer by stanbon(75887)

Question 245971: Please help!!! Thanks in advance for you time!
A three-stage rocket has the following probabilities for failure: The probability for failure at stage one is 1/6; at stage two,1/8; and at stage three,1/10. What is the probability of a successful flight, given that the first stage was successful?

Click here to see answer by stanbon(75887)

Question 245939: The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.24 ounces and a standard deviation of 0.16 ounce. The cans only hold 12.40 ounces of soda. Every can that has more than 12.40 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process?
Click here to see answer by stanbon(75887)

Question 245933: A 28-year-old man pays $ 175 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9993, what is the expected value for the insurance policy?

Click here to see answer by stanbon(75887)

Question 245994: For many years TV executives used the guideline that 30 percent of the audience were watching each of the traditional big three prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 550 viewers in the Tampa�St. Petersburg, Florida, area last Monday night showed that 175 homes were tuned in to the ABC affiliate, 170 to the CBS affiliate, 165 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.1 significance level, can we conclude that the guideline is still reasonable?
Click here to see answer by stanbon(75887)

Question 246047: suppose a brewery has a filling machine that fills 12 ounce bottles of beer. it is known that the amount of beer poured be thid filling machine follows normal distribution with the mean of 12.10 ounces and a stardard deviation of 0.04 ounce. the company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. the company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. for what fill amount are they searching?...THANX
Click here to see answer by Theo(13342)

Question 246046: what would the area under the standard normal density curve be with the mean of 0 and the standard deviation of 1?

Click here to see answer by Theo(13342)

Question 246044: A department store management claims that families spend an average of $630 on gifts during the Christmas season. A sample of 105 families showed that they spent an average of $660 on gifts during the past Christmas season with a standard deviation of $165. Test that the 5% significance level if the mean amount spent on gifts during the holiday by all families is different from $630.(could you please show all 8 steps).
Click here to see answer by stanbon(75887)

Question 246043: Assuming the population has a normal distribution. A sample of 25 randomly selected students has a mean test score of 81.5 woth a stardard deviation of 10.2.
A. costruct a 95% confidence interval for the population mean.(show all five steps please)
BInterpret the confidence in the context of this problem.
CInterpret the confidence in the context of this problem..
IT WOULD BE GREAT IT YOU COULD HELP ME THANK YOU SO MUCH FOR YOUR TIME!!!!
Click here to see answer by stanbon(75887)

Question 246082: 8. The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively.
A. Graph this probability distribution.
B. What is the expected value for the random variable given the number of accidents?

Click here to see answer by stanbon(75887)

Question 246119: If one child is selected from this group, what is the probability that the child is a boy?
Click here to see answer by rapaljer(4671)

Question 246122:
Click here to see answer by hannalyman(3)

Question 246138: find the sample space of the random experiment which consists of tossing a coin until the first head is obtained.is this sample space is discrete?
Click here to see answer by stanbon(75887)

Question 246183: A study found that the mean waiting time to see a physician at an outpatient clinic was 40 minutes
with a standard deviation of 28 minutes. Use Excel to find each probability. (a) What is the probability of more than an hour�s wait? (b) Less than 20 minutes? (c) At least 10 minutes.
Click here to see answer by stanbon(75887)

Question 246124: What is the probability of getting 1000 out of a roll from 1 to 1000 and u have 40 trys.
Click here to see answer by stanbon(75887)

Question 246202: I need to know if it is necessary to change the alpha level on the Chi-Square function in Excel when an assignment asks to solve a problem with a = .01. If it is necessary, how do I change it? I have asked my instructor for help, and he is not willing to help me. For example, the particular problem I am having issues with is:
Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about thieir choice of major. Research question: At a = .01, is the degree of certainty independent of credits earned?
CREDITS EARNED VERY UNCER. SOMEWHAT UNCER. VERY CERTAIN ROW TOTAL
0-9 12 8 3 23
10-59 8 4 10 22
60 OR MORE 1 7 11 19
COLUMN TOTAL 21 19 24 64
I have seen this question answered on this website, but I need to know more about the process as to how the answer was derived. The instructor said we had to use the alpha level from the text, not choose to use whatever we like. Someone please help! It will be greatly appreciated.
From: Someone really struggling with Stats!
Click here to see answer by stanbon(75887)

Question 246255: Compute each of the following. Look for simplifications first.
a. 20P15 (the 20 and the 15 are small)It's looking for the permutation??
b. (n+1)!
------
(n-1)!
Thank you so much in advance.
This is so difficult.
~Marney

Click here to see answer by jim_thompson5910(35256)

Question 246258: (n+1)!
------
(n-2)!

The directions say: Compute each of the following. Look for simplifications first.

Thank you for any help you can offer.
~Marney
Click here to see answer by jsmallt9(3758)

Question 246260: A yogurt shop offers 3 different kinds of yogurt and 13 different kinds of toppings.
a. How many different yogurt and topping combination's are possible?
13C3 (where the 13, and 3 are small for combination permutations)
I came up with 286. I'm not sure if I put the 13 and 3 in the correct spot?

b. The weekly special is a yogurt with up to 3 toppings for $.99. How many different yogurt and topping combination's are available for the weekly special?
Thanks for all of your help.
~Marney

Click here to see answer by rapaljer(4671)

Question 246289: A deck of cards is numbered 1 to 35. If you draw one card at randon,what is the probability that the card you draw will have 4 as a factor?
Click here to see answer by nerdybill(7384)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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