Question: 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.

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 Var (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.

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

a) A Cumulative Distribution function of a random variable is given for a 1 Use the concept of random variable and its probability density function to find: i. Find Var (X) (2.5) ii. Find P(X

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