In a game, you have found a reward with 15 treasure boxes. From experience you know that 1 in 5 treasure boxes contain rare items. a. You want to know the probability of having 4 rare items in your 15 treasure boxes. 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. I b. If you instead had 50 treasure boxes, could the normal approximation to the binomial distribution be used?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a game, you have found a reward with 15 treasure boxes. From experience you
know that 1 in 5 treasure boxes contain rare items.
a. You want to know the probability of having 4 rare items in your 15 treasure boxes.
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. (
b. If you instead had 50 treasure boxes, could the normal approximation to the
binomial distribution be used?
Transcribed Image Text:In a game, you have found a reward with 15 treasure boxes. From experience you know that 1 in 5 treasure boxes contain rare items. a. You want to know the probability of having 4 rare items in your 15 treasure boxes. 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. ( b. If you instead had 50 treasure boxes, could the normal approximation to the binomial distribution be used?
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