Question: Let f x 1 2 1 x 1 be
Let f(x) = 1/2, −1 ≤ x ≤ 1, be the pdf of X. Graph the pdf and cdf, and record the mean and variance of X.
Answer to relevant QuestionsNicol lets the pdf of X be defined by Find (a) The value of c so that f(x) is a pdf. (b) The mean of X (if it exists). (c) The variance of X (if it exists). (d) P(1/2 ≤ X ≤ 2). Let X equal the number of alpha particle emissions of carbon-14 that are counted by a Geiger counter each second. Assume that the distribution of X is Poisson with mean 16. Let W equal the time in seconds before the seventh ...Let F(x) be the cdf of the continuous-type random variable X, and assume that F(x) = 0 for x ≤ 0 and 0 < F(x) < 1 for 0 < x. Prove that if P(X > x + y | X > x) = P(X > y), Then F(x) = 1 − e−λx, 0 < x. Which implies ...Find the values of (a) z0.10, (b) −z0.05, (c) −z0.0485, and (d) z0.9656. Let X be the failure time (in months) of a certain insulating material. The distribution of X is modeled by the pdf Find (a) P(40 < X < 60), (b) P(X > 80)
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