On each of four days next week (Monday thru Thursday), Dan will shoot five free throws. AS- sume that Dan's shots satisfy the assumptions of Bernoulli trials with p = 0.74. (a) Compute the probability that on any par- ticular day Dan obtains exactly three suc- cesses. For future reference, if Dan ob- tains exactly three successes on any partic- ular day, then we say that the event “Mel" has occurred. (b) Refer to part (a). Compute the probabil- ity 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.)

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