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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