21 Suppose it is known that 40% of Americans own an iPhone. If a random sample of 60 Americans were surveyed, what is the probability that the proportion of the sample who owned an iPhone is between 45% and 50%.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Number 21
21 Suppose it is known that 40% of Americans own an iPhone. If a random sample
of 60 Americans were surveyed, what is the probability that the proportion of
the sample who owned an iPhone is between 45% and 50%.
a) Verify that the conditions of the Central Limit Theorem are met.
b) Find the probability that the proportion of the sample who owned an iPhone
is between 45% and 50%.
Transcribed Image Text:21 Suppose it is known that 40% of Americans own an iPhone. If a random sample of 60 Americans were surveyed, what is the probability that the proportion of the sample who owned an iPhone is between 45% and 50%. a) Verify that the conditions of the Central Limit Theorem are met. b) Find the probability that the proportion of the sample who owned an iPhone is between 45% and 50%.
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