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# solve the following with solution box final answer handwritten only WORK 2 1. A box contains one Php 20 bill, one Php 50 bill, one

solve the following with solution box final answer handwritten only

## WORK 2 1. A box contains one Php 20 bill, one Php 50 bill, one Php 100 bill, one Php 200 bill, one Php 500 bill and one Php 1000. Two bills are drawn in succession and without replacement from the box. The random variable T is the total monetary value of the two bills. Find the mean and the variance of T. WORK 2 2. A ball is drawn at random from an urn containing balls numbered 1 to 45. Define a random variable X that assumes a value of -2 if the number on the drawn ball is divisible by 3 but not by 5; a value of 2 if the number is divisible by 5 but not by 3; a value of 8 if the number is divisible by both 3 and 5; and value of 15 if the number is neither divisible by 3 nor by 5. Find the probability mass function of X, and then calculate its mean and variance.

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