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A small community organization consists of 20 families, of
Chapter 2, Problem 21P(choose chapter or problem)
Problem 21P
A small community organization consists of 20 families, of which 4 have one child, 8 have two children, 5 have three children, 2 have four children, and 1 has five children.
(a) If one of these families is chosen at random, what is the probability it has i children, i = 1,2,3,4,57
(b) If one of the children is randomly chosen, what is the probability that child comes from a family having i children, i= 1,2,3,4,57
Questions & Answers
QUESTION:
Problem 21P
A small community organization consists of 20 families, of which 4 have one child, 8 have two children, 5 have three children, 2 have four children, and 1 has five children.
(a) If one of these families is chosen at random, what is the probability it has i children, i = 1,2,3,4,57
(b) If one of the children is randomly chosen, what is the probability that child comes from a family having i children, i= 1,2,3,4,57
ANSWER:
Solution:
Step 1 of 2:
Given that, an organization consists of 20 families, of which 4 have one child, 8 have two children, 5 have three children, 2 have four children, and 1 has five children.
a). We have to find the probability of family has i children.
Where i = 1,2,3,4,5.
Thus,
P(family has i children) =
Then,
= 0.2
= 0.4
= 0.25
= 0.1
= 0.05
Therefore, the probability of family has i children is
P(1) = 0.2, P(2) = 0.4, P(3) = 0.25, P(4) = 0.1, P(5) = 0.05.