Answer :

Note Many of the times while solving such simple problems we make a mistake in counting. So at first, we should make a frequency table which tells us no of students in the class of the same age.


This makes our interpretation easier.


frequency distribution table for age and number of students is:



X represents the age of a random student.


X can take values 14,15,16,17,18,19,20 or 21


Total No. of students in class = 15


Using the above frequency table, we can easily see a total number of students of a particular age, and hence we can find probability easily.


P(X = 14) = {As probability = }


Similarly,


P(X = 15) = ; P(X = 16) = ; P(X = 17) =


P(X = 18) = ; P(X = 19) = ; P(X = 20) =


P(X = 21) =


Now we have pi and xi.


Required probability distribution is:-



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