(Solved): For questions 28-30, the HR department at a company has established that the probability an intern i ...

For questions 28-30, the HR department at a company has established that the probability an intern is offered a permanent position is 0.65. Ten interns start in the fall semester. Assume binomial distribution.

28) How many of those interns (on average, where decimals are acceptable) do you expect to be offered a full time position?

A. 4 B.

8 C. 6.5

D. 2.8

29) What is the probability that no more than 5 interns are offered full time positions?

A. 0.9987

B. 0.2485

C. 0.7064

D. 0.4278

30) What is the probability that 4 interns are offered a full time position?

A. 0.0689

B. 0.2936

C. 0.5000

D. 0.6500

Question 38-40 are based on the following question:

The driving time between two cities follows a uniform distribution with a minimum time of 10 minutes and a maximum time of 22 minutes.

1. 38. Calculate the mean of the distribution?
   1. Undefined
   2. 10 minutes
   3. 16 minutes
   4.   22 minutes
2. 39. What is the standard deviation of the distribution?
   1. 8.0 minutes
   2. 2.2 minutes
   3. 3.5 minutes
   4. 10.0 minutes

3. 40 What is the probability of driving between 15 and 30 minutes?
   1. .0012
   2. .2376
   3. .5833
   4. .9845