The problem is:
Let the random variable X be the number of days that a certain patient needs to be in the hospital. Say X has the p.m.f. of (5-x)/10 where x=1,2,3,4
if the patient is to receive from an insurance company $200 for each of the first two days in the hospital and $100 for each day after the first 2 days, what is the expected payment for the hospitalization?
i did this:
200(4/10) + 200(3/10) +100 (2/10) +100(1/10) = 170
when x =1 and 2, it's 4/10 and 3/10, and i multiplied it by 200 cause it's the first 2 days. and when x is 3 and 4, i multiplied it by 100 for the last 2 days.
the answer in the book is 360
i don't know how they got that
help please
Let the random variable X be the number of days that a certain patient needs to be in the hospital. Say X has the p.m.f. of (5-x)/10 where x=1,2,3,4
if the patient is to receive from an insurance company $200 for each of the first two days in the hospital and $100 for each day after the first 2 days, what is the expected payment for the hospitalization?
i did this:
200(4/10) + 200(3/10) +100 (2/10) +100(1/10) = 170
when x =1 and 2, it's 4/10 and 3/10, and i multiplied it by 200 cause it's the first 2 days. and when x is 3 and 4, i multiplied it by 100 for the last 2 days.
the answer in the book is 360
i don't know how they got that
help please