1. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of r successes given the probability p of success on a single trial. Round to three decimal places. n=12, x = 5, p = 0.25

A. 0.103 B. 0.027 C. 0.082 D. 0.091

I think the answer is B. I need some help on it.

2.Find the indicated probability. A slot machine at a hotel is configured so that there is a 1/1400 probability of winning the jackpot on any individual trial. If a guest plays the slot machine 8 times, find the probability of exactly 2 jackpots. If a guest told the hotel manager that she had hit two jackpots in 8 plays of the slot machine, would the manager be surprised?

A. 0.000000510; Yes, the probability of 2 jackpots in 8 plays is extremely small.

B. 0.0945; No, hitting 2 jackpots in 8 plays is not so unlikely.

C. 0.000000508; Yes, the probability of 2 jackpots in 8 plays is extremely small.

D. 0.0000142; Yes, the probability of 2 jackpots in 8 plays is extremely small.

I think the answer is C. I need a second opinion

3. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.

Rolling a single die 47 times, keeping track of the "fives" rolled.

A. Procedure results in a binomial distribution. B. Not binomial: there are too many trials. C. Not binomial: the trials are not independent. D. Not binomial: there are more than two outcomes for each trial.

I think the answer is D. I need a second Opinion.

4. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of r successes given the probability p of success on a single trial. Round to three decimal places.

n = 5, x = 2, p = 0.70

A. 0.700 B. 0.132 C. 0.198 D. 0.464

I think the answer is C. I need a second Opinion.

5.Solve the problem. On a multiple choice test with 19 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

A. 9.5 B.6.3 C.14.3 D.4.8

I think the answers is B. I need a second Opinion.