ACP Statistics and Probability Worksheet

2. (20 points) For a course with two sections, let A denote {first section is online}, let B denote(at least one section is online}, and let C denote {both sections are online}. Suppose P a
section is online) = 1/2 and that the sections are independent
(a) Find P(
CA) and P(
CB).
(b) Are A and C independent events? Explain why or why not.
c) Describe what makes P(CA) and P(
CB) different from each other.
1. (15 points) The following observations are the ages of a random sample of 8 men in a bar.
52 68 22 35 30 56 39 48
(a) It is known that the ages are normally distributed with a standard deviation of 10
Determine the 95% confidence interval estimate of the population mean.
(b) Interpret the interval estimate.
(c) Provide the confidence interval of the population mean with 95% confidence if the
population standard deviation is unknown.