The question, \"Do you read books for fun every day?\" was asked of a random sam

Question

The question, "Do you read books for fun every day?" was asked of a random sample of 500 children ages 5-11. Results are shown in the table. In this sample, what proportion of children are boys? What proportion of boys read books for fun every day? What proportion of girls read books for fun every day? Based on the findings, does the likelihood of reading books fun depend on the gender of a child? If a child is selected at random, are events "a child reads total 250 220 500 books for fun every day" and a child is a boy" independent?

Explanation / Answer

Result:

a). P=230/500 =0.46

b). P =48/230 =0.2087

c). P=76/270= 0.2815

d). No, proportion of girls read is almost same proportion of boys read.

e). IF two events A,B are independent, P( A/B) = P( A)

P( boys) = 0.46

P( boys/reads books) = 48/230 =0.2087

Since P( boys) P( boys/reads books), they are not independent

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