Ch. 5 SRIS Practice Test

What is the probability that the pass attempt was in the first quarter and complete?

What is the probability that the pass attempt was in the first quarter or complete?

What is the probability that the pass attempt was in the first quarter, given that it was complete?

What is the probability that the pass attempt was complete, given that it was in the first quarter?

What is the probability that the pass attempt was complete, given that it was after the first quarter?

Let event A be “Attempt was in the first quarter” and event B be “Attempt was complete.” Explain what it means to say that events A and B are independent.

Based on your previous answers, are the events “Attempt was in the first quarter” and

“Attempt was complete“ independent? Prove mathematically.

You can type or use the "show your work" space to draw your answer.

Calculate the probability that the batter is not out.

Given that the batter was out, what is the probability that the pitcher threw a fastball?

Interpret the value 0.44 in the context of this question

Use the tree diagram to calculate the probability that the team wins the game by attempting to go for the first down.

Given this information, is attempting to go for it a good strategy? Explain your reasoning.

How high does the probability of making the first down need to be in order to make this a good strategy? Use p for the probability for a successful first down instead of 0.50. For what values of p would it be worthwhile to attempt to go for it in this context?