# Question

A professor sees students during regular office hours.

Time spent with students follows an exponential distribution with a mean of 10 minutes.

a. Find the probability that a given student spends fewer than 20 minutes with the professor.

b. Find the probability that a given student spends more than 5 minutes with the professor.

c. Find the probability that a given student spends between 10 and 15 minutes with the professor.

Time spent with students follows an exponential distribution with a mean of 10 minutes.

a. Find the probability that a given student spends fewer than 20 minutes with the professor.

b. Find the probability that a given student spends more than 5 minutes with the professor.

c. Find the probability that a given student spends between 10 and 15 minutes with the professor.

## Answer to relevant Questions

Suppose that the time between successive occurrences of an event follows an exponential distribution with a mean of 1/λ minutes. Assume that an event occurs. a. Show that the probability that more than 3 minutes elapses ...A random variable X is normally distributed with a mean of 100 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation ...A consultant has three sources of income-from teaching short courses, from selling computer software, and from advising on projects. His expected annual incomes from these sources are $20,000, $25,000, and $15,000, and the ...The nation of Waipo has recently created an economic development plan that includes expanded exports and imports. It has completed a series of extensive studies of the world economy and Waipo's economic capability, following ...Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5. a. One student is chosen at random from this campus. What is the probability that this ...Post your question

0