In poor countries, the growth of children can be an important indicator of general levels of nutrition and health. Data from several studies suggest that a reasonable model for the probability distribution of the height (in cms) of a randomly selected 5 year old child is normally distributed with mean 100 cms and standard deviation 6 cms.(adsbygoogle = window.adsbygoogle || []).push({});

a) What proportion of height is between 94 and 112 cms?

b) What is the probability that a random chosen five year old child will be taller than 110 cms.

c) If two five-year old children are drawn at random, what is the probability that exactly one of them will be taller than 110 cms.

It is given that area under a standard normal distribution between z = 0 and given values of z are as follows:

For z = 1.00 area = 0.3413

For z = 1.67 area = 0.4523

For z = 2.00 area = 0.4772

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# Probability again

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