1.04: Binomial Distributions Quiz

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? https://static.k12.com/nextgen_media/assets/1348628-HS_PS_S1_04_06_Q4.jpg

(X) (P) [0] 1/9 [1] 4/9 [2] 4/9

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)P(X=1)? P(X=1)=

0.48

Which probability matches the probability histogram? https://static.k12.com/nextgen_media/assets/1574498-IM3_20141218_1_Q015Q.jpg Assume that there are 2 trials. X = 2 where X represents the number of successes. . P(success)=0.3P(success)=0.3 P(success)=0.4P(success)=0.4 P(success)=0.6P(success)=0.6 P(success)=0.7

P(success)=0.6

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)=0.25P(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)=0.5P(success)=0.5; number of trials = 4

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

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.