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**mattch** 1)Two integers {1, 2, 6, 7, 9} are chosen at random without replacement. Let X denote the sum of the two integers.

Obtain the probability distribution of X.

2) An insurance policy pays $800 for the loss due to theft of a canoe. If the probability of theft is assessed to be .05, find the expected payment. If the company charges $50 for the policy, what is the expected profit per policy?

3)GESCO Insurance Company charges a $350 premium per annum for a $100,000 life insurance policy for a 40‐year‐old

female. The probability that a 40‐year‐old female will die within 1 year is .002.

-Find the mean when x be a random variable that denotes the gain of the company for next year from a $100,000 life insurance policy

sold to a 40‐year‐old female.