Question: Annie is a basketball player who makes, on average, 65% of her free throws. Assume each shot is independent and the probability of making any given shot is .65.

1. What's the probability Annie will miss three straight free throws before she makes one? (If you use a calculator to get your answer, write your answer in standard notation, not calculator notation.) (5 points)
2. During a season, Annie takes 140 free throws. What's the exact binomial probability she'll make at least 100 out of 140 of these throws? (4 points)
3. For part B, are the conditions that permit you to use a normal approximation to the binomial satisfied? Explain. (5 points)
4. Redo part B using a normal approximation, without continuity correction, to the binomial. Draw a sketch of the situation; draw the distribution and shade the area representing the probability you're finding. (5 points)
5. Redo part B using a normal approximation, with continuity correction, to the binomial.

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