Question: The number of cracks on a highway averages 0 5 per
The number of cracks on a highway averages 0.5 per mile and follows a Poisson distribution. Assuming independence, what is the probability that, in a 40-mile stretch of that highway, there are fewer than 15 cracks?
Answer to relevant QuestionsLet X1 and X2 have independent distributions b(n1, p) and b(n2, p). Find the mgf of Y = X1 + X2. How is Y distributed? Let W = X1 + X2 + · · · + Xh, a sum of h mutually independent and identically distributed exponential random variables with mean θ. Show that W has a gamma distribution with parameters α = h and θ, respectively At a heat-treating company, iron castings and steel forgings are heat-treated to achieve desired mechanical properties and machinability. One steel forging is annealed to soften the part for each machining. Two lots of this ...Let X equal the weight in grams of a miniature candy bar. Assume that μ = E(X) = 24.43 and σ2 = Var(X) = 2.20. Let X be the sample mean of a random sample of n = 30 candy bars. Find (a) E(X). (b) Var(X). (c) P(24.17 ≤ ...A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is N(21.37, 0.16). (a) Let denote the weight of a single mint selected at random from the ...
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