Prob Stat Chapter 5 Review

During his NBA career, Dwight Howard made approximately 52% of all free throws. Suppose Dwight makes 10 free throws in a row. What is the probability he will make the next free throw?

• .11

• .52

• .89

• .48

A statistics teacher states the probability of a surprise quiz on any given day is 0.40. If quizzes are given independently of the day, what is the probability there will be a surprise quiz on the next two consecutive days?

• .21

• .79

• .16

• .84

In a large county in Central Florida, 54% of all registered voters are Democrats and 42% are Republicans. What is the probability a randomly selected voter is not affiliated with either the Democratic or Republican party?

• .04

• .96

• 1.00

• .25

Consider the following probability model associated with the number of raffle tickets purchased by each customer.

What is the probability a randomly selected customer buys 3 raffle tickets?

• .15

• .25

• .35

• .20

At the end of a 5K race, runners are offered a donut or a banana. The event planner examined each runner’s race bib and noted whether each person is less than 30 years old and whether they selected a donut or banana. The two-way table summarizes the data.

What is the probability that a randomly selected runner is less than 30 years old and chooses a donut?

• .284

• .311

• .579

• .612

If P(A) = 0.25, P(B) = 0.54, and P(A and B) = 0.13, what is P(A or B)?

• .89

• .76

• .79

• .66

Suppose 40% of all adults drink coffee. If you were to conduct a simulation involving coffee-drinkers and non-coffee drinkers, which of the following is a valid assignment of digits to represent coffee drinkers?

• 0, 1, 2 = coffee drinker; 3, 4, 5, 6, 7, 8, 9 = not a coffee drinker.

• 0, 1, 2, 3 = coffee drinker; 4, 5, 6, 7, 8, 9 = not a coffee drinker.

• 0, 1, 2, 3, 4 = coffee drinker; 5, 6, 7, 8, 9 = not a coffee drinker.

• 0, 1, 2, 3, 4, 5, 6 = coffee drinker; 7, 8, 9 = not a coffee drinker.

Two events A and B are said to be mutually exclusive if

• A and B contain the same number of outcomes.

• A and B do not have any outcomes in common.

• A and B have at least one outcome in common.

• there are no outcomes besides those in A and B.

A teacher at a local high school surveyed the senior students. Two of the variables recorded for the 200 students were whether the student had any siblings and whether the student typically drives to school. The following table summarizes the responses.

Let D be the event that a student drives to school and S be the event that the student has at least one sibling. Find P(D | S).

• 80/130

• 80/120

• 80/200

• 130/200

You play chess with a friend, and from past experience, you know each game is independent. You estimate the probability that you win a game to be 0.7. If you plan to play three games against your friend, what is the probability that you win at least 1 game?

• .034

• .206

• .785

• .973