Question

Please solve the following questions related to Discrete Probability Distribution.

1. Thirty percent of all resumes received by a corporation for a management position are from females. Ten resumes will be received tomorrow.

a. What is the probability that exactly 5 of the resumes will be from females?

b. What is the expected number of resumes from women?

c. What is the variance of the number of resumes from women?

(Please show the detail computation steps. Please don’t just give an answer from Excel functions or calculator functions. Otherwise, you will not get all the points.)

[Hint: Please see Chapter 5 – Slides 23 -34 for Binomial Probability Distribution. Please also see related pages in the textbook.]

2. The average number of calls received by a switchboard in a 30-minute period is 5 with Poisson distribution.

a. What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 6 calls?

b. What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 2 calls?

(Please show the detail computation steps. Please don’t just give an answer from Excel functions or calculator functions. Otherwise, you will not get all the points.)

[Hint: Please see Chapter 5 – Slides 35- 40 for Poisson Probability Distribution. Please also see related pages in the textbook.]

Please show the steps that you solve the problems.

Answer 1