51. A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it is repaired the same day. Assume that breakdowns of individual cabs occur completely at random at a rate of two per year. a. What is the probability that any particular cab will run for a full year without suffering a breakdown? b. What is the probability that the entire fleet will run for one month without a breakdown? c. On the average, how many breakdowns would the fleet expect in a typical three- month period?

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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51. A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it is
repaired the same day. Assume that breakdowns of individual cabs occur completely at
random at a rate of two per year.
a. What is the probability that any particular cab will run for a full year without
suffering a breakdown?
b. What is the probability that the entire fleet will run for one month without a
breakdown?
c. On the average, how many breakdowns would the fleet expect in a typical three-
month period?
Transcribed Image Text:51. A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it is repaired the same day. Assume that breakdowns of individual cabs occur completely at random at a rate of two per year. a. What is the probability that any particular cab will run for a full year without suffering a breakdown? b. What is the probability that the entire fleet will run for one month without a breakdown? c. On the average, how many breakdowns would the fleet expect in a typical three- month period?
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