Let X denote the wing length in millimeters of a male gallinule and Y the wing length in millimeters of a female gallinule. Assume that X is N(184.09,39.37) and Y is N(171.93,50.88) and that X and Y are independent. If a male and a female gallinule are captured, what is the probability that X is greater than Y?
Answer to relevant QuestionsLet X and Y equal the respective numbers of hours a randomly selected child watches movies or cartoons on TV during a certain month. From experience, it is known that E(X) = 30, E(Y) = 50, Var(X) = 52, Var(Y) = 64, and ...A random sample of size n = 18 is taken from the distribution with pdf f(x) = 1 − x/2, 0 ≤ x ≤ 2. (a) Find μ and σ2. (b) Find P(2/3 ≤ X ≤ 5/6), approximately. Suppose that among gifted seventh-graders who score very high on a mathematics exam, approximately 20% are left-handed or ambidextrous. Let X equal the number of left-handed or ambidextrous students among a random sample of ...Let Y be χ2(n). Use the central limit theorem to demonstrate that W = (Y − n)/√2n has a limiting cdf that is N(0, 1). The weights (in grams) of 25 indicator housings used on gauges are as follows: (a) Construct an ordered stem-and-leaf display, using integers as the stems and tenths as the leaves. (b) Find the five-number summary of the ...
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