Thanks in advance for your help.

3. (10 points) The dollar amount of damage involved in an automobile accident is an expo- nential random variable with mean 1000. Of this, the insurance company only pays that amount exceeding (the deductible amount of ) 400. Now the insurance company provide a special option: if the damage is beyond the \"high deductible\" 1000, the company will payr the full amount. Find the expected value and the standard deviation of the amount the insurance company pays per accident