# Question

Let the mean success rate of a Poisson process be 8 successes per hour.

a. Find the expected number of successes in a half-hour period.

b. Find the probability of at least 2 successes in a given half-hour period.

c. Find the expected number of successes in a two-hour period.

d. Find the probability of 10 successes in a given two-hour period.

a. Find the expected number of successes in a half-hour period.

b. Find the probability of at least 2 successes in a given half-hour period.

c. Find the expected number of successes in a two-hour period.

d. Find the probability of 10 successes in a given two-hour period.

## Answer to relevant Questions

Assume that X is a Poisson random variable with µ = 15. Calculate the following probabilities.a. P(X ≤ 10)b. P(X = 13)c. P(X > 15)d. P(12 ≤ X ≤ 18)Motorists arrive at a Gulf gas station at the rate of two per minute during morning hours.a. What is the probability that more than two motorists will arrive at the Gulf gas station during a one-minute interval in the ...(Use computer) Assume that X is a hyper-geometric random variable with N = 50, S = 20, and n = 5. Calculate the following probabilities.a. P(X = 2)b. P(X ≥ 2)c. P(X ≤ 3)Fifty percent of the customers who go to Sears Auto Center for tires buy four tires and 30% buy two tires. Moreover, 18% buy fewer than two tires, with 5% buying none.a. Find the expected value and the standard deviation of ...A professor has learned that three students in her class of 20 will cheat on the exam. She decides to focus her attention on four randomly chosen students during the exam.a. What is the probability that she finds at least ...Post your question

0