NEED ASAP.

16. On each of four days next week (Monday thru Thursday), Dan will shoot five free throws. Assume that Dan's shots satisfy the assumptions of Bernoulli trials with p = 0.74. (a) Compute the probability that on any particular day Dan obtains exactly three successes. For future reference, if Dan obtains exactly three successes on any particular day, then we say that the event "Mel" has occurred. (b) Refer to part (a). Compute the probability that: next week Mel will occur exactly once and that one occurrence will be on Monday. (Note: You are being asked to compute one probability.)

21. A random sample of size n = 250 yields 80 successes. Calculate the 95% confidence interval for p.

22. A random sample of size n = 452 yields 113 successes. Calculate the 95% confidence interval for p.

23. George enjoys throwing horse shoes. Last week he tossed 150 shoes and obtained 36 ringers. (Ringers are good.) Next week he plans to throw 250 shoes. Assume that George's tosses satisfy the assumptions of Bernoulli trials.

(a) Calculate the point prediction of the number of ringers that George will obtain next week.

(b) Calculate the 90% prediction interval for the number of ringers George will obtain next week. (c) It turns out that next week George obtains 62 ringers. Given this information, comment on your answers in parts (a) and (b).

24. Bill enjoys throwing horse shoes. Last week he tossed 140 shoes and obtained 28 ringers (Ringers are good.) Next week he plans to throw 350 shoes. Assume that Bill's tosses satisfy the assumptions of Bernoulli trials.

(a) Calculate the point prediction of the number of ringers that Bill will obtain next week.

(b) Calculate the 90% prediction interval for the number of ringers Bill will obtain next week. (c) It turns out that next week Bill obtains 64 ringers. Given this information, comment on your answers in parts (a) and (b).

25. Bert computes a 95% confidence interval for p and obtains the interval [0.600, 0.700]. Note: Parts (a) and (b) are not connected: Part (b) can be answered even if one does not know how to do part

(a). (a) Bert's boss says, "Give me a 90% confidence interval for p." Calculate the answer for Bert.

(b) Bert's boss says, "Give me a 95% confidence interval for pq." Calculate the answer for Bert. (Hint: pq = p(1p) = 2p 1. Bert's interval says, in part, that "p is at least 0.600;" what does this tell us about 2p 1?)

26. Maggie computes a 95% confidence interval for p and obtains the interval [0.50, 0.75]. Note: Parts (a) and (b) are not connected: Part (b) can be answered even if one does not know how to do part (a).

(a) Maggie's boss says, "Give me a 95% confidence interval for p 2 ." Calculate the answer for Maggie. (Hint: The interval says, in part, that "p is at most 0.75;" what does this tell us about p 2 ?)

(b) Maggie's boss says, "Give me a 95% confidence interval for p q." Calculate the answer for Maggie. (Hint: p q = p (1 p) = 2p 1. The interval says, in part, that "p is at most 0.75;" what does this tell us about 2p 1?)