33. At a fundraising fair there is a game where you spin a giant spinner to win a prize. The spinner is divided into 8 equal sections. You are babysitting two children who are only interested in winning the stuffed panda which means the spinner must stop on section 3 or 8. You plan on making 25 attempts to win 2 pandas. Can the normal approximation to the binomial distribution be used? Justify your answer, and describe why it is important to check that the normal approximation can be used. a. b. Calculate the probability that you win exactly 2 pandas in the 25 spins, using the normal approximation to the binomial distribution.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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33. At a fundraising fair there is a game where you spin a giant spinner to win a prize. The spinner is
divided into 8 equal sections. You are babysitting two children who are only interested in winning the
stuffed panda which means the spinner must stop on section 3 or 8. You plan on making 25 attempts
to win 2 pandas.
Can the normal approximation to the binomial distribution be used? Justify your answer, and
describe why it is important to check that the normal approximation can be used.
a.
b. Calculate the probability that you win exactly 2 pandas in the 25 spins, using the normal
approximation to the binomial distribution.
Transcribed Image Text:33. At a fundraising fair there is a game where you spin a giant spinner to win a prize. The spinner is divided into 8 equal sections. You are babysitting two children who are only interested in winning the stuffed panda which means the spinner must stop on section 3 or 8. You plan on making 25 attempts to win 2 pandas. Can the normal approximation to the binomial distribution be used? Justify your answer, and describe why it is important to check that the normal approximation can be used. a. b. Calculate the probability that you win exactly 2 pandas in the 25 spins, using the normal approximation to the binomial distribution.
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