2026 MAY TZA P2 Q5

2026 MAY TZA P2 Q5

7 marks

A large froup of adults have their heights measured. The heights of the adults are normally distributed with mean \(\mu\) cm and standard deviation \(\sigma\) cm.

The probability that one of the adults chosen at random has a height greater than \(171\) cm is \(0.4\).

If one of the adults with a height greater than \(171\) cm is chosen at random, the probability that their height is greater than \(175\) cm is \(0.35\).

Find the value of \(\mu\) and the value of \(\sigma\).[7]

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