In a group activity class, there are 10 students whose ages are 16, 17, 15, 14, 19, 17, 16, 19, 16 and 15 years. One student is selected at random such that each has equal chance of being chosen and age of the student is recorded. On the basis of the above information, answer the following questions : (i) Find the probability that the age of the selected student is a composite number. (ii) Let X be the age of the selected student. What can be the value of X ? (iii) (a) Find the probability distribution of random variable X and hence find the mean age. OR (iii) (b) A student was selected at random and his age was found to be greater than 15 years. Find the probability that his age is a prime number.

Year	Paper Code	Set	Position
CBSE 2023	Series Other	Set 1	Question 36
CBSE 2023	Series Other	Set 1	Question 37
CBSE 2023	Series Other	Set 1	Question 38

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)