A class XII has 20 students whose marks (out of 30) are 14, 17, 25, 14, 21, 17, 17, 19, 18, 26, 18, 17, 17, 26, 19, 21, 21, 25, 14 and 19. If random variable X denotes the marks of a selected student given that the probability of each student to be selected is equally likely. Prepare the probability distribution of the random variable X. Make it an objective type question.

The correct answer is Option (2) → 

Let us prepare the following frequency table:

Total number of students = 20.

Given that X = marks of a selected student.

So $P(X=14)=\frac{3}{20};P(X=17)=\frac{5}{20}=\frac{1}{4};P(X=18)=\frac{2}{20}=\frac{1}{10};$

$P(X=19)=\frac{3}{20};P(X=21)=\frac{3}{20};P(X=25)=\frac{2}{20}=\frac{1}{10};$

$P(X=26)=\frac{2}{20}=\frac{1}{10};$

Hence, the required probability distribution is