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According to a survey conducted by the American Bar
Chapter 7, Problem 74E(choose chapter or problem)
Problem 74E
According to a survey conducted by the American Bar Association, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Washington, D.C., is a lawyer.
a If you select a random sample of 1500 Americans, what is the approximate probability that the sample contains at least one lawyer?
b If the sample is selected from among the residents of Washington, D.C., what is the approximate probability that the sample contains more than 30 lawyers?
c If you stand on a Washington, D.C., street corner and interview the first 1000 persons who walked by and 30 say that they are lawyers, does this suggest that the density of lawyers passing the corner exceeds the density within the city? Explain.
Questions & Answers
QUESTION:
Problem 74E
According to a survey conducted by the American Bar Association, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Washington, D.C., is a lawyer.
a If you select a random sample of 1500 Americans, what is the approximate probability that the sample contains at least one lawyer?
b If the sample is selected from among the residents of Washington, D.C., what is the approximate probability that the sample contains more than 30 lawyers?
c If you stand on a Washington, D.C., street corner and interview the first 1000 persons who walked by and 30 say that they are lawyers, does this suggest that the density of lawyers passing the corner exceeds the density within the city? Explain.
ANSWER:
Step 1 of 7
Given that
According to a survey, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Washington is a lawyer.