53. Refer again to the data from the MBA new-matriculants survey in exercise 52. a. Given that a person applied to more than one school, what is the probability that the person is 24–26 years old? b. Given that a person is in the 36-and-over age group, what is the probability that the person applied to more than one school? c. What is the probability that a person is 24–26 years old or applied to more than one school? d. Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old? e. Is the number of schools applied to independent of age? Explain.
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.
53. Refer again to the data from the MBA new-matriculants survey in exercise 52.
a. Given that a person applied to more than one school, what is the probability that the
person is 24–26 years old?
b. Given that a person is in the 36-and-over age group, what is the probability that the
person applied to more than one school?
c. What is the probability that a person is 24–26 years old or applied to more than one
school?
d. Suppose a person is known to have applied to only one school. What is the probability
that the person is 31 or more years old?
e. Is the number of schools applied to independent of age? Explain.
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