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A radio program gives concert tickets to the fourth caller with the right answer to a question. Of the people who call, 25% know the answer. Phone calls are independent of one another. The random variable Nr indicates the number of phone calls taken when the rth correct answer arrives. (If the fourth correct answer arrives on the eighth call, then N4 = 8.)
(a) What is the PMF of N1, the number of phone calls needed to obtain the first correct answer?
(b) What is E[N1], the expected number of phone calls needed to obtain the first correct answer?
(c) What is the PMF of N4, the number of phone calls needed to obtain the fourth correct answer?
(d) What is E[N4].
Ethnic Group A: N = 15 M= 55 S2 = 6.5 Ethnic Group B : N = 23 M= 51 S2 = 4.5. If the standard deviation of the distribution of the difference between means is .76, what is the t score?
Let x ¯ be the observed mean of a random sample of size n from a normal distribution having mean μ and variance σ2.
Let X be N(O, 1/0). Assume that the unknown O is a value of a random variable 0 which has a gamma distribution with parameters IX = r/2 and fJ = 2/r, where r is a positive integer. Show that X has a marginal I-distribution with r degrees of freed..
Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days, determine the number of bacteria present after 30 days. How much time is required for the population to reach 4250 in number
If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. What is the lower limit of the confidence interval.
Then test to see whether it considerably varies from 0 [use alpha = 5%]. Don't forget to identify the null and alternative hypotheses.
In a shipment of 52 vials, only 12 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?
Conduct an analysis of variance using the normal probability plot in part (a) for guidance in forming an error term. What are your conclusions
A sample of 400 tickets has 72% 1's. What percentage of the entire box do you expect to be 1's? What is the standard error of your estimate?
An auditor for a large oil corporation has taken a random sample of monthly credit card charges for 32 individual (non-corporate) accounts.
george is curious. he has been told that the average body temperature of humans is 98.6 degrees fahrenheit. however he
Let X be a random variable having expected value (mu) and variance (sigma)^2. Find the expected value and variance of: Y = (X - μ)/(σ).
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