Question regarding the corresponding functions
Suppose that X is a random variable with moment generating function MX(s) and characteristic function CX (s). Let Y = aX + b for real numbers a and b. Find MY (s) and CY (s) in terms of the corresponding functions for X.
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A random sample of size 64 is to be used to test the null hypothesis that for a certain age group the mean score on an achievement test (the mean of a normal population with ?2 = 256) is less than or equal to 40.0 against the alternative that it i
Past records at an appliance store show that 60% of the customers who look at appliances will buy one. What is the probability that the first sale of the day will be made to the fourth customer who looks at an appliance in this store?
A 5-card poker hand is dealt. Find the probability of getting
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Accept on faith that the characteristic function of the Cauchy distribution with density fX (x) = 1/(?(1+x2)) for ?? < x < ? is C(s) = E(e^isX) = e^?|s|. Suppose that X and Y are independent, and each has the Cauchy distribution.
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