Suppose that the number of guests per month that members of

Suppose that the number of guests per month that members of a country club bring to golf is given by the following probability distribution:
52% of the members don\'t have any guests each month, 18% of the members have 1 guest per month to the club; 13% of the members have 2 guests per month; and the remaining members have 3 guests per month.
What is the expected value of the number of guests that members bring out each month? (please express your answer using 2 decimal places)

Solution

EXPECTATION = X1*P(X1)+X2*P(X2)+.....Xn*P(Xn)

HERE PERCENTAGE TELL THE PROBABILITY

0 GUEST PROBABILITY = 0.52

1 GUEST PROBABILITY = 0.18

2 GUEST PROBABILITY = 0.13

3 GUEST PROBABILITY = 0.17

HENCE THE EXPECTATION = 0*0.52+1*0.18+2*0.13+3*0.17 = 0.95

= 1 GUEST IS EXPECTED OR 0.95 IN DECIMAL FORM