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- 1.
- Find the probability of getting 10 heads on 20 flips of a fair coin.
- 2.
- Find the probability of 5 aces (1's) on 5 rolls of a die.
- 3.
- Jack reports he has ESP. To prove it, he states the color (red or black) of a card drawn at random from a deck of 52 cards. He does this for 30 cards (with
replacement). Suppose he is correct on 18 of the cards. He states, "See, I got more than half correct? " What do you think? One way of reasoning here is:
If Jack is just guessing how odd is it that he gets 18 or more correct out of 30?; i.e., obtain the probability that
when X is
*bin(30,.5)*.
- 4.
- Same as last problem but this time JACK gets 24 out of 30 correct.
- 5.
- Clyde hits 70% of his free throws in basketball. Determine the probability that Clyde makes 8 out of 14 free throws.
- 6.
- In the last problem, Clyde plays a game in which he sinks only 4 out of 17 free throws. The coach benches him the next game, saying "Clyde, you're
slipping." Clyde says, "Hey, coach it's just a bad night." To which the coach says, "A pretty rare night Clyde." Who is right? Consider the probability that
when X is
*bin(17,.7)*.
- 7.
- Obtain and comment on the distribution of a binomial probability model with n = 6 and p = .5 .
- 8.
- Obtain and comment on the distribution of a binomial probability model with n = 6 and p = .7 .

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*2000-08-26*