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Question 3. Negative Binomial Distribution Suppose that in a group of insurance policies (which are independent as regards occurrence of claims), 45% of the policies have incurred claims (p=0.45). An auditor is examining the policies in the group one by one until 6 policies with claims are found (r=6). (a) Find the mean of X, E(X).

Question 3. Negative Binomial Distribution Suppose that in a group of insurance policies (which are independent as regards occurrence of claims), 45% of the policies have incurred claims (p=0.45). An auditor is examining the policies in the group one by one until 6 policies with claims are found (r=6). (a) Find the mean of X, E(X).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question 3. Negative Binomial Distribution Suppose that in a group of insurance policies (which are independent as regards occurrence of claims), 45% of the policies have incurred claims (p-0.45). An auditor is examining the policies in the group one by one until 6 policies with claims are found (r-6). (a) Find the mean of X, E(X). (b) Find the variance of X, V(X), and the standard deviation, SD(X). (c) Find P(X=7). (d) Find P(X>11).
Transcribed Image Text:Question 3. Negative Binomial Distribution Suppose that in a group of insurance policies (which are independent as regards occurrence of claims), 45% of the policies have incurred claims (p-0.45). An auditor is examining the policies in the group one by one until 6 policies with claims are found (r-6). (a) Find the mean of X, E(X). (b) Find the variance of X, V(X), and the standard deviation, SD(X). (c) Find P(X=7). (d) Find P(X>11).
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