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A class has 15 students whose ages are 1...

A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability distribution of the random variable X ? Find the mean of X.

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The correct Answer is:
`P(14)=(2)/(15),P(15)=(1)/(15),P(16)=(2)/(15),P(17)=(3)/(15),P(18)=(1)/(15),P(19)=(2)/(15),P(20)=(3)/(15),P(21)=(1)/(15);mu=17.53`
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