I. Binomial vs. Geometric Distribution For each scenario, indicate whether a binomial distribution, geometric distribution, or neither model would be appropriate. Explain why. 1. A basketball player is a 70% free-throw shooter and takes 10 free throws in a game. She wants to know the probability of making at least 8 of them. 2. A softball pitcher strikes out 35% of opposing batters. She wants to know the probability that she gets her first strikeout of the game within the first three batters she faces. 3. A tennis player makes 60% of his first-serves. He attempts 8 first-serves in a game. He wants to know the probability that exactly 6 of them are in bounds.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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please write answer if possible in this format: “ biomPdf(2,3,4)” or geometricPdf(5,6,7) as an example please help me do 1-5 just label if it’s a binomial, geometric or neither distribution Plsss
I. Binomial vs. Geometric Distribution
For each scenario, indicate whether a binomial distribution, geometric distribution, or neither model would be
appropriate. Explain why.
1. A basketball player is a 70% free-throw shooter and takes 10 free throws in a game. She wants to know
the probability of making at least 8 of them.
2. A softball pitcher strikes out 35% of opposing batters. She wants to know the probability that she gets
her first strikeout of the game within the first three batters she faces.
3. A tennis player makes 60% of his first-serves. He attempts 8 first-serves in a game. He wants to know
the probability that exactly 6 of them are in bounds.
4. Sidney Crosby made 13.9% of his shots on goal in the 2008-2009 NHL season. He wants to know the
probability of making at least 19% of his shots in the playoffs.
5. The communications monitoring company Postini has reported that 91% of all e-mail messages are
spam. Suppose you have 25 unread emails. You want to know the average (expected) number of emails
that are not spam.
6. Suppose you clear out your email box and look at each new email you receive. You want to know the
expected number of emails you will have to receive until you receive your first legitimate (not spam)
message.
7. Each box of Wheaties contains a basketball card. The company claims that 20% of the cards
are LeBron James. You want to know how many boxes of Wheaties you can expect to buy until you get
your first LeBron card.
8. Suppose the other players you could get in the Wheaties box are Kevin Durant, Carmelo Anthony, and
Lonzo Ball. You want to know the number of each player you can expect to get if you buy 20 boxes of
Wheaties.
Transcribed Image Text:I. Binomial vs. Geometric Distribution For each scenario, indicate whether a binomial distribution, geometric distribution, or neither model would be appropriate. Explain why. 1. A basketball player is a 70% free-throw shooter and takes 10 free throws in a game. She wants to know the probability of making at least 8 of them. 2. A softball pitcher strikes out 35% of opposing batters. She wants to know the probability that she gets her first strikeout of the game within the first three batters she faces. 3. A tennis player makes 60% of his first-serves. He attempts 8 first-serves in a game. He wants to know the probability that exactly 6 of them are in bounds. 4. Sidney Crosby made 13.9% of his shots on goal in the 2008-2009 NHL season. He wants to know the probability of making at least 19% of his shots in the playoffs. 5. The communications monitoring company Postini has reported that 91% of all e-mail messages are spam. Suppose you have 25 unread emails. You want to know the average (expected) number of emails that are not spam. 6. Suppose you clear out your email box and look at each new email you receive. You want to know the expected number of emails you will have to receive until you receive your first legitimate (not spam) message. 7. Each box of Wheaties contains a basketball card. The company claims that 20% of the cards are LeBron James. You want to know how many boxes of Wheaties you can expect to buy until you get your first LeBron card. 8. Suppose the other players you could get in the Wheaties box are Kevin Durant, Carmelo Anthony, and Lonzo Ball. You want to know the number of each player you can expect to get if you buy 20 boxes of Wheaties.
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