# Question

Telephone calls arrive at a doctor’s office according to a Poisson process on the average of two every 3 minutes. Let X denote the waiting time until the first call that arrives after 10 a.m.

(a) What is the pdf of X?

(b) Find P(X > 2).

(a) What is the pdf of X?

(b) Find P(X > 2).

## Answer to relevant Questions

The initial value of an appliance is $700 and its dollar value in the future is given by Where t is time in years. Thus, after the first three years, the appliance is worth nothing as far as the warranty is concerned. If it ...If X has a gamma distribution with θ = 4 and α = 2, find P(X < 5). If the moment-generating function of X is M(t) = exp(166t + 200t2), find (a) The mean of X. (b) The variance of X. (c) P(170 < X < 200). (d) P(148 ≤ X ≤ 172). 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) Let X and Y have the joint pmf defined by f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3. (a) Compute μX, μY, σ2X, σ2Y, Cov(X, Y), and ρ. (b) Find the equation of the least squares regression line and draw it on your ...Post your question

0