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

Question 992540: Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.
What is the probability that greater than 30 batteries will last at least 8 hours?
Click here to see answer by stanbon(75887)

Question 992770:
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude?

About 60% of the books have fewer than 150 pages.

About 16% of the books have fewer than 150 pages.

About 95% of the books have more than 150 pages.

About 16% of the books have more than 150 pages.

Click here to see answer by stanbon(75887)

Question 992574: If X (bar) = 125, σ = 24, and n = 36, construct a 99% confidence interval estimate for the population mean, μ.

Click here to see answer by Fombitz(32388)

Question 992907: Suppose Z is a standard normal random variable.
If P(-z < Z < z) = 0.5588, find z.
Find P( -2.28 < Z < -0.63).
Please help me out!
Thank you so much
Click here to see answer by stanbon(75887)

Question 993058: Find the probability of tossing a head on a coin or drawing a red ace from a standard deck of cards
Click here to see answer by vleith(2983)

Question 993363: Based on the data provided, what is the expected cost of repairs over two years if each repair costs $60?

Click here to see answer by Fombitz(32388)

Question 628506: What NCAA college basketball conferences have the higher probability of having a team play in college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, these two conferences have both had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76�70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.
a. What is the probability the ACC will have a team in the championship game ?
b. What is the probability the SEC will have team in the championship game ?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not have a team from one of these two conferences?
Click here to see answer by add84(1)

Question 993421: 4.) Suppose that you could save $10 every hour, night, day. How long will it take to save 1 million dollars, rounded to the nearest tenth of a year? (use 1 year is 365 days)
Click here to see answer by Alan3354(69443)

Question 993420: 3.) If you were driving down the interstate at 60 mph and you look down at your cell phone for 3 seconds to see who texted you, how many feet did you travel down the interstate without your eyes on the road? Equate this distance
to a distance with which we are all familiar. Your distances have to be approximately the same.
Click here to see answer by josmiceli(19441)

Question 993502: The Better Business Bureau settles 65% of complaints it receives involving new car dealers. Suppose a sample of 90 complaints involving new car dealers is selected. Find the probability that Better Business Bureau settles less than 62 of these complaints
Please please help me
Thank you so much
Click here to see answer by Boreal(15235)

Question 993542: Three cards are drawn from a deck without replacement. What is the probability that all are jacks?
Click here to see answer by Edwin McCravy(20054)

Question 993638: An examination is designed where the students are required to answer 20 questions from a group of 25 questions. How many ways can a student choose the 20 questions?
Click here to see answer by stanbon(75887)

Question 993635: Students from a statistics class were asked to record their heights in inches.
The heights (as recorded) were:
73, 74, 63, 64, 80, 72, 64, 64, 68, 75, 65, 65, 71, 72, 74, 50, 65, 68, 69, 66, 67, 67, 66

Are there any data values that may be suspected outliers? (Hint: remember this was the special section from 3.3)
Click here to see answer by stanbon(75887)

Question 993647: Two cards are randomly drawn from an ordinary deck of playing cards without replacement. What is the probability that the first card is a heart and the second is a diamond?
Click here to see answer by fractalier(6550)

Question 993644: Find the number of ways in which 5 large books, 4 medium-size books and 3 small books can be placed on a shelf so that all books with the same size are together?
Click here to see answer by fractalier(6550)

Question 993559: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks one marble at random, what is the probability that he selects a red marble or a yellow marble?
Click here to see answer by Fombitz(32388)

Question 993639: a) How many automobile license plate can be made if each plate contains 2 different letters followed by 3 different digits?
b) Solve the problems if the first digit cannot be 0.
Click here to see answer by Alan3354(69443)

Question 993777: What are the odds against an event happening when the probability of an event happening are 75%?
Click here to see answer by jim_thompson5910(35256)

Question 993825: A Randstad/Harris interactive survey reported that 25% of employees said their company is loyal to them (USA Today, November 11, 2009). Suppose 10 employees are selected randomly and will be interviewed about company loyalty.
What is the probability that at least 2 of the 10 employees will say their company is loyal to them (to 4 decimals)?
The way I tried it was because it is at least 2 so have to do all numbers to 10. so P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)= So for this i looked on table adding 1.1664+.0064+.8464+3.6864+8.5264 and so on.. Obviously I am doing this wrong because the answer I put in shows it is incorrect. Can you tell me the formula and how to plug it in by steps? Thanks
Click here to see answer by rothauserc(4718)

Question 993833: given that person is in 36 and over age group, what is the probability that person applied to more than one school?
the data shows 51 for 36 and over and all together 808 total from person from diff age groups that applied to more than one school.
I thought for probability you are suppose to just take the 51 from all age group who applied to more than one which is 808. =.0631? But that is not it. Has to be 4 decimals as answer.
How do i solve this? Thanks
Click here to see answer by Theo(13342)

Question 993868: I'm not sure if this is the right place to post this but I'm pretty stuck. I'm having a hard time understanding how to do this or what I even need to do. Any help would be much appreciated.

Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes. Of course, if you took an actual poll you would only get one number (your sample proportion, p-hat). But, imagine all the possible samples of 150 students that you could draw and the imagined histogram of all the sample proportions from those samples.
1. What shape would the histogram of all the possible sample proportions (p-hat's) have?
2. Where would the center of that histogram be? (This answer should be a description in words based on what we know about p-hat sampling distributions.)
Now, given the information that about 35% of students actually prefer to take classes online respond to the following:
3. Discuss the conditions necessary to use the normal model here and explain whether or not they are met.
4. If you were to use the normal model for this p-hat sampling distribution, what would be the parameters (mean and standard deviation) for your model?

Click here to see answer by rothauserc(4718)

Question 993926: In a bottle-filling process, the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of .32 oz. Bottles containing less than 15.86 oz do not meet the bottler�s quality standard. What percentage of filled bottles do not meet the standard? (Round the z value to 2 decimal places. Round your answer to 2 decimal places.)
P(x < 15.86) %
Click here to see answer by Theo(13342)

Question 993973: In a binomial distribution, n = 12 and π = .60.

a. Find the probability for x = 5? (Round your answer to 3 decimal places.)

Probability

b. Find the probability for x ≤ 5? (Round your answer to 3 decimal places.)

Probability

c. Find the probability for x ≥ 6? (Round your answer to 3 decimal places.)

Probability
Click here to see answer by solver91311(24713)

Question 993933: one thousand cars were stopped and tested for faults. The failure rate of two parts is as follows: Light bulbs - 1 in 5 cars. Brakes - 1 in 10 cars. What is the probabilty that one of the cars checked had faulty light bulbs but did not have faulty brakes?
Click here to see answer by Boreal(15235)

Question 993831: 1 2, 3, 4, 5, 6 NUMBERS OF PERSONS
.41, .30, .14, .11, .03, .01 RENT STABILIZED
Q. What is the variance of the number of person living in each unit?
rent stabilized?
So the way i tried was
(1^2)(0.41)+(2^2)(0.30)+(3^2)(0.14)+(4^2)(.11)+(5^2)(.03)+(6^2)(.01) =5.74
variance = E(x^2)-[E(x)]^2 = 5.74-(2.08)^2 = 1.1436 as my answer but it shows incorrect.
Can you please help me identify where i am wrong or is my answer put in different? Please help with answer. THanks
Click here to see answer by MathTherapy(10549)

Question 993924: The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 125 and a standard deviation equal to 46. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass?
Set lowest passing score to
Click here to see answer by Theo(13342)

Question 994021:

5. In the game of blackjack as played in casinos, the dealer has the advantage as most of the players do not play very well. As a result, the probability that the average player wins a hand is about 40%. An average player decides to play 10 hands. (15 points)

f. What is the probability that he will win in all hands? (3 points)
g. What is the probability that he will win at least 5 hands? (3 points)

h. What is the probability that he will win at least 1 hand? (3 points)

i. Assuming that this player has already lost the first 6 hands, what is the probability that he will win all remaining (4) hands? (3 points)

j. What is the average number of hands that an average player should expect to win in a 10-hand game? (3 points)

Click here to see answer by Boreal(15235)

Question 994059: In a sample of 1500 new iPhones, 9 were found to be defective. At this rate, how many defective iPhones would be expected in a sample of 100,000 new iPhones? Write a proportion to solve this problem and show all work.
Click here to see answer by rfer(16322)

Question 994072: a basketball player attempts 20 shots from the field during a game. this player hits about 35% of these shots. what is the chance the player hits more than 11 shots?
P(X>11)=?

I got this for the answer = 0.019579355, is this correct?
Click here to see answer by stanbon(75887)

Question 994074: Ten peas are generated from parents having the green/yellow pair of genes, so there is a .75 probability that an individual pea will have a green pod. Find the probability that among the 10 offspring peas, at least 9 have green pods. Is it unusual to get this result (hint: compare it with the cutoff probability we established for the Rare Event Rule)?
I got 0.244025230.
Click here to see answer by stanbon(75887)

Question 994073: The television show NBC Sunday Night Football broadcast a game between the Colts and Patriots received a share of 22, meaning that among the TV sets in use, 22% were tuned to the game (based on Nielson data). An advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey begins with 20 households having TV sets in use at the time of that same NBC Sunday Night Football broadcast.
(+3)
a. Find the probability that none of the households are tuned to NBC Sunday Night Football (show with the table in excel and also do using the multiplication rule)?
(+3)
b. at least one is (show using the table using the direct method and the complement method)?
(+3)
c. exactly one household?
(+3)
d. find P(X≤3)=?

I got 0.006948520, 0.046145272, 0.039196760, 0.328910820.
Click here to see answer by Boreal(15235)

Question 994081: Every now and then even a good diamond cutter has a problem and the diamond breaks. for one cutter, the rate of breaks is .1%.
If this cutter works on 75 stones, what is the probability that he breaks 2 or more?
I got 0.997420452.
Click here to see answer by rothauserc(4718)

Question 994007: gestation period, what is the probability that a baby will weigh between 6 and 9 pounds at 32 to 35 weeks
Click here to see answer by solver91311(24713)

Question 994060: Ally inherits $65,000 and decides to invest part of it in an education account for her daughter and the rest in a 10-year CD. If the amount she puts in the education account is $12,000 more than twice the amount she puts in the CD, how much money does Ally invest in each account? Write an equation to solve this problem, if you could show how you came to it, and include units in this answer.
Thank you!
Click here to see answer by solver91311(24713)

Question 994154: find the area under curve between z=0.46 and Z=2.21

Click here to see answer by stanbon(75887)

Question 994182: Suppose that you work for a newly restructured automotive company with nearly 100,000 employees. You are in charge of purchasing engines from an overseas supplier. Company policy is that you purchase several hundred engines each month to be placed into cars on the assembly line.
Your overseas supplier of engines guarantees that 10% of the new engines shipped to you will have minor oil leaks that will require a slight modification before assembly. To check out the most recent monthly shipment of the engines, you randomly select and test 200 of these engines.What is the average number of leaky engines you would expect to get?
Click here to see answer by solver91311(24713)

Question 994185: what is the probability of drawing an ace or a king from a standard deck of cards
Click here to see answer by solver91311(24713)

Question 994345: A basket contains 8 oranges, 3 mangoes and 9 apples. If 3 fruits are drawn at random, determine the probability that 1 of each fruit is drawn.
Click here to see answer by stanbon(75887)

Question 994434: A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 9 wood
and 19 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.
Click here to see answer by Boreal(15235)

Question 994551: THE AVERAGE TIME IT TAKES SOMEONE TO FINISH THE 2.4 MILE SWIM AT IRONMAN LOUISVILLE IS APPROXIMATELY 86 MIN WITH STANDARD DEVIATION OF 10 MIN. ASSUME THE DISTRIBUTION IS APPROX NORMAL.
WHAT IS PROBABILITY THAT A RANDOMLY SELECTED WILL SWIM UNDER 60 MINUTES?
I DO NOT KNOW WHAT FORMULA TO USE FOR THIS.. MY GUESS WAS X-MEAN/STAND DEVIATION
SOMETHING LIKE P(X<60) 86-60/10=2.6 BUT I HAVE FEELING I AM DOING IT WRONG. CAN YOU PLEASE SHOW ME IN STEPS?
THANKS
Click here to see answer by solver91311(24713)

Question 994555: suppose the probability remain 20% but we take sample from 100 archers.
what is the standard error of proportion?
i have it set 100(.20)=20 100 (1-.20)=80 SQUARE ROOT ALL THIS TOGETHER >>
.20(1-20)/100 BUT I AM GETTING A WEIRD ANSWER.
THANKS
Click here to see answer by solver91311(24713)

Question 994662: the sex distribution being equally probable, compute the expected number of girls in a family with 10 children and what is the probability that the expected number of girls occurs?
Click here to see answer by stanbon(75887)

Question 994676: in one college the second year mathematics students in mathematics have a 50% chance of passing their mathematics examination. Of the 18 second year mathematics students this year, calculate exactly the probability that they all pass their examination and that exactly one student fails and hence calculate the exactly probability that no more 2 students fail.
Click here to see answer by Boreal(15235)

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, 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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, 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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, 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