a) A Cumulative Distribution function of a random variable is given

Use the concept of random variable and its probability density function to find:

i. Find E(X) (2.5)

ii. Find P(X

b) A coaching academy divides its students into 2 groups. Forty percent of students

are in the high caliber group, and sixty percent are in the low caliber group. The high caliber

Students make an average of 1 mistake in final exam while the low caliber make an average of

4 mistakes in final exam. Ronaldo had made no mistake in last year final exam. Use the suitable

probability distribution function to find the probability that he is a high caliber student?

Q3: CLO2, PLO2, C3 a) A Cumulative Distribution function of a random variable is given for x 1 Use the concept of random variable and its probability density function to find: i. Find E(X) (2.5) ii. Find P(X