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Chapter 2: Q. 2.21 (page 49)

A small community organization consists of 20families, which 4have one child, 8 have two children, 5have three children, 2have four children, and1 have five children.

(a) If one of these families is chosen at random, what is the probability it hasi children, i=1,2,3,4,5?

(b) If one of the children is randomly chosen, what is the probability that the child comes from a family havingi children,i=1,2,3,4,5?

Short Answer

Expert verified

(a)0.05(b)0.1042

Step by step solution

01

Given Information.

A small community organization consists of20families, which 4have one child, 8 have two children, 5have three children, 2 have four children, and1 have five children.

02

Part (a) Explanation.

P(1)=4/20=0.2P(2)=8/20=0.4P(3)=5/20=0.25P(4)=2/20=0.1P(5)=1/20=0.05

03

Part (b) Explanation.

P(1)=4/48=0.083P(2)=16/48=0.33P(3)=15/48=0.3125P(4)=8/48=0.167P(5)=5/48=0.1042

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