Question

DIRECTIONS: For items 1a-c The Cumulative Binomial Probability Distribution to determine the Cumulative Probabilities for the Binomial Random Variable, X.

1a. According to the Gallup poll, P = 0.60 of U.S. women 18+ years of age stated that the minimum driving age should be 18. In a random sample of n = 15, U.S. women 18+ years of age, find the probability that:

1. P(x < 5) believe that the minimum driving age should be 18 (1 pt):

2. Between P (7 ≤ x ≤ 12) believe that the minimum driving age should be 18 (2 pts):

B. The battery manufacturer Varta sells a car battery with 800 cold-cranking amps and advertises great performance even in biting cold weather. Varta claims that after sitting on a frozen Minnesota lake for over ten days at temperatures below 32 degrees Fahrenheit, this battery will still have enough power to start a car. Suppose the actual probability of starting a car following this experiment is P = 0.75, and n = 15 randomly selected cars (equipped with this battery) are subjected to these grueling conditions.

1. Find the probability that fewer than P(x < 10) cars will start (1 pt):

2. Find the probability that more than P(x > 12) cars will start (2 pts):

C. At one large university freshmen account for P = 0.30 of the student body. If a group of n = 12 students is randomly chosen by the school newspaper to comment on textbook prices, what is the probability that fewer than three, P(x < 3), of the students are freshmen? ( 1 pt)

Answer 1