Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters =71 and =6.25. What percentage of 25-year-old mean are over 6 feet 2 inches tall? What percentage of men in the 6-footer club are over 6 foot 5 inches? (This problem is from Continuous...

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q1:The random variable X is exponentially distributed with mean : Let Y be the integer part of X: That is, if X 2 [n; n + 1) ; then Y = n: Find the pgf of Y and hence E (Y ) ;E fY (Y 1)g and var Y q2 The random variables X1 and X2 are i.i.d, with probability functions f (x) = (1...

Question 4 The random variable X is exponentially distributed with mean : Let Y be the integer part of X: That is, if X 2 [n, n + 1) ; then Y = n. Find the pgf of Y and hence E (Y ) ,E fY (Y 1)g and var Y: 1

Q1: the random variable X is exponentially distributed with mean lamda. let Y be the integer part of X. That is, if X [n, n + 1), then Y=n. Find the pgf of Y Q2:The random variables X1 and X2 are i.i.d, with probability functions f (x) = (1 - p)^(x-1) p ; x = 1, 2.... 0...

Describe the similarities between an F-ratio and a t statistic?

One in four adults is currently on a diet. In a random sample of eight adults, what is the probability that the number current on the diet is exactly four?

If a wildlife service wishes to estimate the mean number of days of hunting per hunter fo all hunters, with a bound on error of estimation of 2 days. How many hunters must be included in the survey? Assume that data gathered in earlier surveys have shown to be approximately 10.

Q2:The random variables X1 and X2 are i.i.d, with probability functions f (x) = (1 - p)^(x-1) p ; x = 1, 2.... 0 ; otherwise. The random variable Y is defined as the minimum of X1 and X2: Find the probability generating function of Y

The random variable X is distributed normally with mean 0 and variance 1. Find directly the moment generating function of Y=X^2(do not find the pdf of Y)