Can you please help me solve the question attached as an image? A health HMO finds that that 56% of their policy holders are married. Amongst that same group 67%have at least one child. Overall, it is known that 41% of their policy holders are married and have at leastone child, what is the probability that a policy holder is married or has a child?

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Description: Can you please help me solve the question attached as an image? A health HMO finds that that 56% of their policy holders are married. Amongst that same group 67%have at least one child. Overall, it is known that 41% of their policy holders are marrie

Answered: A health HMO finds that that 56% of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Can you please help me solve the question attached as an image?

A health HMO finds that that 56% of their policy holders are married. Amongst that same group 67%
have at least one child. Overall, it is known that 41% of their policy holders are married and have at least
one child, what is the probability that a policy holder is married or has a child?

Expert Solution

Given Data:

Probability that policy holder is married = P(M) = 0.56

Probability that policy holder have atleast one child = P(C) = 0.67

Probability that policy holder is married and have atleast one child = $P (M \cap C)$ = 0.41

Required Probability:

Probability that policy holder is married OR has a child:

P(M OR C ) = P(M) + P(C) - P(M and C)

P(M OR C ) = 0.56 + 0.67 - 0.41

P(M OR C ) = 0.82

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