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A person performs a task 3 times in succession. He learns rapidly, so that his chance of error is 1/2 the first time, 114 the second time, and 1/6 the third time. We assume that he learns equally well from his successes and failures, so that the three trials may be considered independent.
(a) Find the probability table and mean of X = the total number of errors.
(b) What is the probability of more than I error?
For n = 25, α = .01, σ = 5, and H0:µ ≥ 60, verify that power is .95 when µ = 56. - For n = 36, α = .025, σ = 8, and H0:µ ≤ 100, verify that power is .61 when µ = 103.
Make a histogram showing the distribution of the number of broken pieces in the 24 batches of pottery examined.- What aspect of the company's problem is more apparent in the scatterplot?
Mr. X invites 15 relatives to a party: his mother, three uncles, two aunts, four brothers, and five cousins. If the chances of any one guest arriving first are equally likely
From the notes of Schroder, Bernd. The Binomial Distribution, Retrieved from; http://www2.latech.edu/~schroder/slides/stat/binom_dist.pdf we have a clear idea what are a binomial distribution and few real life examples
Assuming a standard deviation of 5 minutes and a simple random sample of 50 persons who filled out the long form, what is the probability that their average time for completion of the form was more than 45 minutes?
The tips from the financial advisers suggest that it may be useful to incorporate the number of credit lines on a log scale in this model rather than a linear scale as in Table 4. Do you agree? Why or why not?
rate data often follow a lognormal distribution. average power usage db per hour for a particular company is studied
The schools' most serious problem. Results from a Gallup Youth Survey reveal that teens most often mention "violence, fighting, and school safety".
you play a dice game with two dice. if you roll at most 5 i.e. the sum of the two numbers is 2 3 4 or 5 then you win if
The hospital tests five vials from each shipment. If at least one of the five is ineffective, find the conditional probability pf that shipment's having come from C.
It is desired to estimate the mean diameter of steel rods so that, with probability 0.95, the error of estimation will not exceed 0.005 cm.
a time study is made of a tool crib and it is found that the probability of it taking more than t minutes to fill an
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