A cashier starts the day with $550. There are 100 customers during the day. The amount of money each customer needs to withdraw from the cashier is a random variable X uniformly distributed between 0 and 10, iid across customers. Using the central limit theorem find a probability that the cashier won't run out of money during the day.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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A cashier starts the day with $550. There are 100 customers during the day.
The amount of money each customer needs to withdraw from the cashier is a
random variable X uniformly distributed between 0 and 10, iid across
customers. Using the central limit theorem find a probability that the cashier
won't run out of money during the day.
Transcribed Image Text:A cashier starts the day with $550. There are 100 customers during the day. The amount of money each customer needs to withdraw from the cashier is a random variable X uniformly distributed between 0 and 10, iid across customers. Using the central limit theorem find a probability that the cashier won't run out of money during the day.
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