# Question: Jane Wormley is a professor of management at a university

Jane Wormley is a professor of management at a university.

She expects to be able to use her grant money to fund up to two students for research assistance. While she realizes that there is a 5% chance that she may not be able to fund any student, there is an 80% chance that she will be able to fund two students.

a. What is the probability that Jane will fund one student?

b. Construct a cumulative probability distribution of the random variable defined as the number of students that Jane will be able to fund.

She expects to be able to use her grant money to fund up to two students for research assistance. While she realizes that there is a 5% chance that she may not be able to fund any student, there is an 80% chance that she will be able to fund two students.

a. What is the probability that Jane will fund one student?

b. Construct a cumulative probability distribution of the random variable defined as the number of students that Jane will be able to fund.

**View Solution:**## Answer to relevant Questions

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. What is the probability that a customer buys three ...An electronics store sells additional warranties on its Blu-ray players. Twenty percent of the buyers buy the limited warranty for $25 and 5% buy the extended warranty for $60. What is the expected revenue for the store if ...Assume that X is a binomial random variable with n = 8 and p = 0.32. Calculate the following probabilities.a. P (3 < X < 5)b. P (3 < X ≤ 5)c. P (3 ≤ X ≤ 5)Approximately 76% of baby boomers aged 43 to 61 are still in the workforce (The Boston Globe, July 10, 2008). Six baby boomers are selected at random.a. What is the probability that exactly one of the baby boomers is still ...Assume that X is a Poisson random variable with µ = 4. Calculate the following probabilities.a. P(X = 4)b. P(X = 2)c. P(X ≤ 1)Post your question