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The heights of 16-year-old boys are normally distributed with a mean of 172 cm and a standard deviation of 2.3 cm. (please show work) a)Find

The heights of 16-year-old boys are normally distributed with a mean

of 172 cm and a standard deviation of 2.3 cm. (please show work)

a)Find the probability that the height of a boy chosen at random is between 169 cm and 174 cm.

b)If 28% of boys have heights less thanxcm, find the value forx.

c)300 boys are measured. Find the expected number that have heights greater than

177 cm.

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