b) Keep-Fit gymnasium offers four types of subscriptions, Gold, Silver, Bronze and Platinum. It wasfound that at the end of the year 8% of expiring subscriptions were Gold; 41%, Silver; 6%,Bronze; and 45%, Platinum. The percentages of renewals for these subscriptions were 81%,79%, 60% and 21%, respectively.i.What is the probability that a randomly selected subscription expiring at the end of theyear was renewed?ii.What is the probability of a Bronze subscription expiring at the end of the year wasrenewed?

Here define events and draw probability tree Here use Bayes rule and basic probability rule

i. What is the probability that a randomly selected subscription expiring at the end of the year was renewed? i. What is the probability of a Bronze subscription expiring at the end of the year was renewed?

i. What is the probability that a randomly selected subscription expiring at the end of the year was renewed? i. What is the probability of a Bronze subscription expiring at the end of the year was renewed?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

b) Keep-Fit gymnasium offers four types of subscriptions, Gold, Silver, Bronze and Platinum. It was
found that at the end of the year 8% of expiring subscriptions were Gold; 41%, Silver; 6%,
Bronze; and 45%, Platinum. The percentages of renewals for these subscriptions were 81%,
79%, 60% and 21%, respectively.
i.
What is the probability that a randomly selected subscription expiring at the end of the
year was renewed?
ii.
What is the probability of a Bronze subscription expiring at the end of the year was
renewed?

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