Question: 1.Consider that Emily and Samantha face the same probability distribution for losses.Assume their claims are independent.The loss distribution is Loss amount . probability 0 .7

1.Consider that Emily and Samantha face the same probability distribution for losses.Assume their claims are independent.The loss distribution is

Loss amount . probability

0 .7

1000 .2

4000 .1

a.Calculate Emily's expected loss and variance

b.If Emily and Samantha form a pool in which losses are shared equally, calculate the expected loss per person, and the expected variance in losses per person.(hint: you first have to calculate the possible loss outcomes in the pool,divide by 2 to get the losses per person, and calculate the associated probabilities.)

c.What happened to expected losses per person and variance in losses per person when the pool was formed?

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