Susan is a sales representative who has a history of making a successful sale from about 86% of her sales contacts. If she makes 12 successful sales this week, Susan will get a bonus. Let n be a random variable representing the number of contacts needed for Susan to get the 12th sale. Required:
a. Explain why a negative binomial distribution is appropriate for the random variable n.
b. Compute P(n = 12), P(n = 13), and P(n = 14).
c. What is the probability that Susan will need from 12 to 14 contacts to get the bonus?
d. What is the probability that Susan will need more than 14 contacts to get the bonus?
e. What are the expected value μ and standard deviation σ of the random variable n?

Explain how you can find the missing fraction in 3 4/5 / (blank) 2 5/7. then find the missing fraction.

Zahra runs a 500-meter race at a constant speed. which graph shows her distance from the finish line during the race?

(01.03 mc) which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4. select one: a. x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1. b. x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12. c. x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3. d. x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.