4.47. The Palestinian Central Bureau of Statistics (www.pcbs.gov.ps) asked mothers of age 20-24 about the ideal number

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4.47. The Palestinian Central Bureau of Statistics

(www.pcbs.gov.ps) asked mothers of age 20-24 about the ideal number of children. For those living on the Gaza Strip, the probability distribution is approximately P(l) = 0.01, P(2) = 0.10, P{3) = 0.09, P(4) = 0.31, P{5) = 0.19, and P(6 or more) = 0.29.

(a) Because the last category is open-ended, it is not possible to calculate the mean exactly.

Find a lower bound for the mean.

(b) Explain why you can find the median of the distribution, and find it.

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