Suppose that 20,000 married adults in a country were randomly surveyed as to the

Question

Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? the number of children married adults in the country have the number of children adults in the country have the average number of children adults in the country have the average number of children married adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? it is more likely to have two to three children, with p = 0.45 it is more likely to have four to six children, with p = 0.8 it is more likely to have four to six children, with p = 0.1 it is more likely to have two to three children, with p = 0.3 it is more likely to have four to six children, with p = 0.2

Explanation / Answer

a) Required probability P (x=3) =1-(0.10+0.20+0.30+0.10+0.05+0.05)

=1-(0.80)

=0.20

b)The expected value represent

   the average number of children marries adults in the country have

c) Expected value

µ =0+0.20+0.60+0.60+0.40+0.25+0.30

=2.35

d) Total probability of 2 to 3 children is=0.30+0.20

=0.50

Total probability having 4 to 6 children is =0.10+0.05+0.05

=0.20

Clearly we can say that it is morelikly to have two to three children

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