2. Let the random variable X be the number of days that a certain patient needs to be in the hospital. Suppose X has the pmf f (x) from an insurance company for each of the first two days in the...

Extracted text: 2. Let the random variable X be the number of days that a certain patient needs to be in the hospital. Suppose X has the pmf f (x) from an insurance company for each of the first two days in the hospital and $100 for each day after the first two days, what is the expected payment for the hospitalization? Translation: 5-a, x = 1,2, 3, 4. If the patient is to receive $200 10 We have и (1) = 200 u (2) = 200 + 200 = 400 u (3) = 200 + 200 + 100 = 500 и (4) = 200 + 200 + 100 + 100 = 600 What is E [X]?