Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 428041: In low-speed crash tests of five SMART cars, the repair costs were computed for a factory-authorized repair center and an independent repair facility. The results are listed in the accompanying table.
a. Is there sufficient evidence to support the claim that the independent center has lower repair costs? Use a 0.05 significance level.
Authorized repair center $797 $571 $904 $1,147 $418
Independent repair center $523 $488 $875 $911 $297
Click here to see answer by stanbon(75887) |
Question 428135: : Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 739 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 82.
(a) Construct a 95 % confidence interval for the proportion of all kernels that would not pop.
(b) Check the normality assumption.
(c) Try the Very Quick Rule. Does it work well here? Why or why not?
(d) Why might this sample not be typical?
Click here to see answer by stanbon(75887) |
Question 427985: a recent report stated that 4% of adults cut their sandwhich in half before eating it. if 10 u.s. adults are selected randomly, what is the probability that
a) at least 6 people cut their sandwhich in half before eating
b) at most 3 people cut their sandwhich in half before eating it
c) (use binomial formula) exactly 4 people cut their sandwhich in half before eating it
Thanks!
Click here to see answer by stanbon(75887) |
Question 428284: Can someone please help me with this problem I am stuck and confused on normal distribution.
A normal distribution has a mean of 52 and a standard deviation of 4.2 What is the probability of a value between 44.0 and 55.0?
Your help is greatly apprieciated!
Click here to see answer by stanbon(75887) |
Question 428380: The distribution of the diameters of a particular variety of oranges is approximately Normal with a standard deviation of 0.3 inch. How does the diameter of an orange at the 67th percentile compare with the mean diameter?
Click here to see answer by stanbon(75887) |
Question 428384: The KY Department of Natural Resources personnel periodically inspects plots in eastern ky for evidence of elk habitation. suppose that 25% of the plots have evidence of elk habitation. if a sample of 10 were inspected, how would I find the probability that none have evidence of elk habitation?
Click here to see answer by stanbon(75887) |
Question 428500: You roll a pair of dice five times. Find the following probability of you getting at LEAST one sum of 7.
I have trouble with the 'at least' and 'at most' probability problems.
is it, 5C1(6/36)^1 (1-30/36)^4 ?
I'm also unsure when to subtract the probability from one or when to not.
I also have to find the probability of getting at most one sum of 7.
Click here to see answer by sudhanshu_kmr(1152)  |
Question 428557: It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months and follow a normal distribution with a standard deviation of 1.7 months. Jolt agrees to replace any connector that fails within 19 months. Out of 500 connectors sold, how many does Jolt expect to replace, on average?
Click here to see answer by stanbon(75887) |
Question 428590: Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 29 dollars and a standard deviation of 6 dollars.
What interest payment is exceeded by only 21% of the bank's Visa cardholders??
Click here to see answer by stanbon(75887) |
Question 428662: A bag contains 12 blocks. Six are red, two are blue, and three are green, and the rest are yellow. If one block is chosen at random and not replaced and then a second block is chosen randomly, what is the probability that both blocks are red?
Click here to see answer by htmentor(1343)  |
Question 428698: A bag contains 3 red beads and 5 yellow beads. One bead is removed at random then replaced. This is done three times in total.
Find the probability that:
a) Each bead is red
b)Exactly two beads are red and one bead is yellow
c)At least one bead is red
Click here to see answer by stanbon(75887) |
Question 428822: Hi, I am having a very hard time solving this stats problem and if someone could give me some assistance I would be ever greatful. The question is as follows. "There is a new game and a friend asks your advice on playing it. Like yahtzee, it is played with 5 fair sided dice. The game costs $1 to play. The player wins $50 for rolling a total greater than 27. What is your friends expected gain or loss for one play? Be sure to consider all possible cases" I am pretty sure that I should use a multinomial for this problem but I don't have any idea how to set it up. I would appreciate it very much if someone could run me through how to do it.
Click here to see answer by stanbon(75887) |
Question 428865: publishing scientific papers online is fast, and the papers can be long. Publishing in a paper journal means that the paper will live foreve in libraries. the british Medical Journal combines the two:it prints short and reasable versions, with longer verison available online/ ots this OK with authors? the journal asked about a random sample of 104 of its recent authors several questions. one question was " should the journal using this system?" in the sample 72 said " yes." (a) do the data give good evidence that more than two-thirds (67%) of authors support continuing this system? carry out an appropriate test to help answer this question. (b) interpret the p-values from your test in the context of the problem.
Click here to see answer by stanbon(75887) |
Question 428852: three dice are rolled all at once. What is the probability, to the nearest hundredth, that each dice will show a number greater than 4?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Click here to see answer by sudhanshu_kmr(1152)  |
Question 428882: Suppose a test given to students has a mean of 500 and standard deviation of 50 and the test scores are normally distributed.
What is the probablity that a single random student has a score between 495 and 503?
What is the shape, mean and standard deviation of the sampling distribution of mean(x bar) is based of a sample of n=36 randomly selected students?
Click here to see answer by stanbon(75887) |
Question 428936: Using the formula for the multinomial distribution, the probability of X1=1, X2=1, X3=3, when N=5, P1=0.4, P2=0.4, and P3=0.2 is what? Please write out solution so I can see who the answer was obtained.
Click here to see answer by robertb(5830)  |
Question 429058: Before being allowed to enter a maximum security area at a military installation, a person must pass 3 identification tests: a voice pattern test, a fingerprint test, and a handwriting test. If the reliability of the first test is 97%m the reliability of the second test is 98.5%, and the third is 98.5%m what is the probability that this security system will allow an improperly identified person to enter the maximum security area?
Thx any help is appreciated
Click here to see answer by ewatrrr(24785)  |
Question 429153: In some cases, there are more than two groups that we want to compare. We will be learning the one-factor ANOVA for this analysis. Provide a business example where you would need to compare more than two groups for a significant difference in the means. Provide the hypothesis and the decision rule for your example.
Click here to see answer by stanbon(75887) |
Question 413415: The average life of a particular battery is determined to be 56.2 hours with a standard deviation of 4.3 hours ,assume battery life is normally distributed. Batteries in the lower 10% do not meet min life requirement for a battery. What is the minimum life for the battery
Click here to see answer by lovegod1(1) |
Question 429428: If X is a normal random variable with standard deviation 3.50, and if the probability that X is more than 10.83 is .1271, then what is the mean of X?
Please work out solution so I can see how the answer was achieved.
If X is a normal random variable with a standard deviation 3.50, and if the probability that X is less than 8.83 is .648, then what is the mean of X?
Click here to see answer by robertb(5830)  |
Question 429465: How can you make a fair game (one with probability 1/2 of winning) from tossing an unfair coin? If a coin has probability p of heads (with p not necessarily 1/2), show that for two tosses the events HT and TH have the same probability. Therefore, toss the coin twice: If you get HT call the result a "win," if you get TH call the result a "lose," and if you get HH or TT ignore those tosses and toss it twice more, repeating the procedure until you get HT or TH. "Win" and "lose" are equally likely, so each has probability 1/2 of occurring first.
Any help is great THXS
Click here to see answer by edjones(8007)  |
Question 429465: How can you make a fair game (one with probability 1/2 of winning) from tossing an unfair coin? If a coin has probability p of heads (with p not necessarily 1/2), show that for two tosses the events HT and TH have the same probability. Therefore, toss the coin twice: If you get HT call the result a "win," if you get TH call the result a "lose," and if you get HH or TT ignore those tosses and toss it twice more, repeating the procedure until you get HT or TH. "Win" and "lose" are equally likely, so each has probability 1/2 of occurring first.
Any help is great THXS
Click here to see answer by richard1234(7193)  |
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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 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46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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