The Central Bureau of Statistics in Sunshine Village asked mothers aged between 22 and 26 about the

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The Central Bureau of Statistics in Sunshine Village asked mothers aged between 22 and 26 about the ideal number of children. The probability distribution is approximately P(1) = 0.02, P(2) = 0.14, P(3) = 0.07, P(4) = 0.33, P(5) = 0.15, and P(6 or more) = 0.28.

(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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