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X1,..., Xn are independent uniform random variables, all with expected value µX = 7 and variance Var[X] = 3.
(a) What is the PDF of X1?
(b) What is Var[M16(X)], the variance of the sample mean based on 16 trials?
(c) What is P[X1 > 9], the probability that one outcome exceeds 9?
(d) Would you expect P[M16(X) > 9] to be bigger or smaller than P[X1 > 9]? To check your intuition, use the central limit theorem to estimate P[M16(X) > 9].
Exponential distribution with a mean of 4 minutes. What is the probability that a person is served in less than 3 minutes on at least 4 of the next 6 days?
The samples do indicate that university A's students are younger than university B's; but is the difference significant at the 1% level?
1. What are degrees of freedom? How are the calculated? 2. What do inferential statistics allow you to infer?
Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
Normal distribution with a mean of 240 minutes and a standard deviation of 40 minutes, what is the probability of a procedure of this type lasting less than 200 minutes?
(a) What is the sample proportion of Americans who believe there is intelligent life on other planets? (b) What is the standard error of the sample proportion? (c) Calculate a 90% CI for the population proportion of Americans who believe there is ..
Potassium carbonate is frequently used in the production of cocoa powder, and like sodium bicarbonate, is easily dissolved in water. Write the balanced reaction between potassium carbonate and water to produce carbon dioxide.
Write a memo explaining what the regression means. If the average water hardness is 3 and the chief would like to replace any pump with a probability of failing of .80 or more, at what age should pumps be replaced?
What are the odds against drawing a card from an ordinary deck of cards and getting a spade?
suppose n80000 n20000 and s50.a. compute the standard error of x using the finite population correction factor. round
suppose a researcher gathered survey data from 19 employees and asked the employees to rate their job satisfaction on a
During the past year in the maternity ward of a hospital in a large city, 1,254 Males were born and 1,462 Females. If we can assume this data is representative of all births in the city: What is the probability that it will be a girl
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