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 threemonth period?d. What is the probability that there are more than five breakdowns between Thanksgiving Day (November 28) and New Year’s Day (January 1)?e. For what reason might your answer in part (d) be too low?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
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 threemonth period?
d. What is the probability that there are more than five breakdowns between Thanksgiving Day (November 28) and New Year’s Day (January 1)?
e. For what reason might your answer in part (d) be too low?
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