Binomial Distributions

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At a certain breakfast restaurant, the probability of a customer ordering coffee is 0.8. When the restaurant seats two new customers, X is the number of customers ordering coffee. What is P(X=0)? Enter your answer, as a decimal, in the box. P(X=0) =

0.04

Which probability matches the probability histogram? Assume that there are 2 trials. X = 2 where X represents the number of successes. . • P(success)=0.3 • P(success)=0.4 • P(success)=0.6 • P(success)=0.7

0.4

The probability that traffic lights on a certain road will be green is 0.6. When a driver on that road approaches two traffic lights in a row, X is the number of traffic lights that are green. What is P(X=1)? Enter your answer, as a decimal, in the box. P(X=1) =

0.48

Which probability matches the probability histogram? Assume that there are 2 trials. X = 2 where X represents the number of successes. • P(success)=0.2 • P(success)=0.3 • P(success)=0.7 • P(success)=0.8

0.8

A basketball player's probability of making a free throw is 0.9. When the player makes two free throws in a row, X is the number of free throws made. What is P(X=2)? Enter your answer, as a decimal, in the box. P(X=2) =

0.81

Which probability matches the probability histogram? Assume that there are 2 trials. X = 2 where X represents the number of successes. . P(success)=0.3 P(success)=0.4 P(success)=0.6 P(success)=0.7

P(success)=0.4

Over the next four days, X is the number of days it will rain. Which statement is true about this situation? The variable X has a binomial distribution. P(success)=0.5; number of trials = 4 The variable X does not have a binomial distribution because P(success) is not constant. The variable X has a binomial distribution. P(success)=0.25; number of trials = 4 The variable X does not have a binomial distribution because there are more than two possible outcomes.

The variable X does not have a binomial distribution because P(success) is not constant.

Over the next four days, X is the number of days it will rain. Which statement is true about this situation? • The variable X does not have a binomial distribution because P(success) is not constant. • The variable X has a binomial distribution. P(success)=0.25; number of trials = 4 • The variable X does not have a binomial distribution because there are more than two possible outcomes. • The variable X has a binomial distribution. P(success)=0.5; number of trials = 4

The variable X does not have a binomial distribution because P(success) is not constant.

Over the next four days, X is the number of days it will rain. Which statement is true about this situation? • The variable X does not have a binomial distribution because P(success) is not constant. • The variable X has a binomial distribution. P(success)=0.25; number of trials = 4 • The variable X has a binomial distribution. P(success)=0.5; number of trials = 4 • The variable X does not have a binomial distribution because there are more than two possible outcomes.

The variable X does not have a binomial distribution because P(success) is not constant.

A bag contains a red, a green, and a purple marble. In which distributions does the variable X have a binomial distribution? Select each correct answer. When a marble is selected two times in a row without replacement, X is the number of green marbles. When a marble is selected five times in a row without replacement, X is the number of green marbles. When a marble is selected four times in a row with replacement, X is the number of marbles that are not green. When a marble is selected three times in a row with replacement, X is the number of green marbles.

When a marble is selected four times in a row with replacement, X is the number of marbles that are not green. When a marble is selected three times in a row with replacement, X is the number of green marbles.

For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution? Select each correct answer. • When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work. • When the medicine is tried with two patients, X is the number of patients for whom the medicine worked. • When the medicine is tried with two patients, X is the number of doses each patient needs to take. • When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution? Select each correct answer. • When the medicine is tried with two patients, X is the number of patients for whom the medicine worked. • When the medicine is tried with two patients, X is the number of doses each patient needs to take. • When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work. • When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

When the medicine is tried with two patients, X is the number of patients for whom the medicine worked. When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work. • When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

Suppose the dial on the spinner is spun 2 times in a row. X is the number of times the dial lands on region A. Which table represents the probability distribution for the variable X? X 0 1 2 P 4/9 2/9 1/9 X 0 1 2 P 2/3 1/3 1/3 X 0 1 2 P 4/9 4/9 1/9 X 0 1 2 P 1/3 1/3 1/3

X 0 1 2 P 4/9 4/9 1/9

Suppose the dial on the spinner is spun 2 times in a row. X is the number of times the dial lands on region A. Which table represents the probability distribution for the variable X? • X 0 1 2 P 4/9 4/9 1/9 • • X 0 1 2 P 2/3 1/3 1/3 • • X 0 1 2 P 4/9 2/9 1/9 • • X 0 1 2 P 1/3 1/3 1/3 •

X 0 1 2 P 4/9 4/9 1/9

Suppose the dial on the spinner is spun 2 times in a row. X is the number of times the dial lands on region A. Which table represents the probability distribution for the variable X? • X 0 1 2 P 49 29 19 • • X 0 1 2 P 49 49 19 • • X 0 1 2 P 13 13 13 • • X 0 1 2 P 23 13 13

X 0 1 2 P 4/9 4/9 1/9