A certain employee never leaves work before 7:00 PM but always leaves within 3.4 minutes after 7:00 PM Suppose that the time X that he leaves after 7:00 PM has the following probability density function:

In major league baseball, a no hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No hitters occur at a rate of about three per season. Assume that the duration of time between no hitters is exponential.  a. what is the probability that an entire season elapses with a single no-hitter?  b. If an entire season elapses without any no hitters, what is the probabilty that there are no no hitters in the following season?  c. What is the probabilty that there are more than 3 no hitters in a single season?

I need help finding the probability that only two cars arrive.

The following is a probability distribution function for X, with range 0, 1, 2, 3: P(X = 0) = 0.3; P(X = 1) = 0.2; P(X = 2) = 0.3; P(X = 3) = 0.2.  Compute E(X). Round your answer to one decimal place.

For each probability expression, find the unknown z- value(s). Unless directed otherwise, use three decimals in your answers. (a) P(Z ≤ zo) = 0.86. Find zo. 20 (b) P(Z ≤ zo) = 0.24. Find zo. 20 = 20 (c) P(Z ≥ zo) = 0.4. Find zo. = 20 = (c) P(z0 ≤ Z ≤ 0.64) = 0.5988. Find zo. = (use two decimals)

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter å = 0.01417. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.) (c) What is the value of the median distance? (Round your answer to two decimal places.)

Suppose that the probability density function of a random variable X is as follows: f(x)= cx, for0<x<4; 0, otherwise. (a) Find c.(b) Find the cumulative distribution function F and sketch it.

The multinomial joint probability mass function becomes the binomial probability mass function when k = O 1 O 2 00