Cars arrive at a tollbooth at a mean rate of 5 cars every 10 minutes according to a Poisson process. Find the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll.
Answer to relevant QuestionsSay the serum cholesterol level (X) of U.S. males ages 25–34 follows a translated gamma distribution with pdf (a) What are the mean and the variance of this distribution? (b) What is the mode? (c) What percentage have a ...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 ...If Z is N(0, 1), find (a) P(0 ≤ Z ≤ 0.87). (b) P(−2.64 ≤ Z ≤ 0). (c) P(−2.13 ≤ Z ≤ −0.56). (d) P(|Z| > 1.39). (e) P(Z < −1.62). (f) P(|Z| > 1). (g) P(|Z| > 2). (h) P(|Z| > 3). The time X to failure of a machine has pdf Compute P(X > 5 | X > 4). In a smoking survey among boys between the ages of 12 and 17, 78% prefer to date nonsmokers, 1% prefer to date smokers, and 21% don’t care. Suppose seven such boys are selected randomly. Let X equal the number who prefer ...
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