Exercise 2.5

1.

Suppose we flip a fair coin 4 times. What's the probability of 4 heads?

2.

A basketball player free throw percentage is .70. If he shoots 6 free throws, find the probability that he makes all 6. What are we assuming here that may not be true?

3.

Suppose in the Jet airplane example, that one engine is broken before takeoff, but the plane takes off anyway. Determine the probability that the plane arrives safely.

4.

Suppose A and B cannot occur at the same time. Are they independent?

5.

In a call in poll, are the calls independent of one another?

6.

Suppose the subjects in a poll are selected by random phone calling. Are the calls independent of one another?

7.

A newspaper reporter goes out to the mall and asks people a question of local interest. Are these respondees independent of one another?