E19 Please show me how to solve this problem. I need to know for my exam. 19. Su

Question

E19

Please show me how to solve this problem. I need to know for my exam.

19. Suppose you earn $12 an hour for tutoring but spend $8 an hour for computer lessons. You save the difference between what you earn and the cost of your lessons. The number of hours you spend on each activity in a week varies independently according to the following probability distributions Hours of Computer lessons Prolalbilitic 0-1-2 0.4 0.3 0.3 Prollbilitics 0.3 0.3 0.2 0.2 (i) (7 points) Determine the average number of hours you tutor per week (i (7 points) Determine the average number of hours you take computer lessons per week. i) (6 points) Determine the standard deviation of the number of hours you tutor per week

Explanation / Answer

(i)

from above average number of hours you =2.3

(ii)

average number of hours you take computer lessons per week =0.90

(iii) from part (i) std deviation of number of hours you = 1.1

y p(y) yP(y) y2P(y) (y-)2 (y-)2P(y) 1 0.3000 0.300 0.300 1.690 0.507 2 0.3000 0.600 1.200 0.090 0.027 3 0.2000 0.600 1.800 0.490 0.098 4 0.2000 0.800 3.200 2.890 0.578 total 1 = 2.300 6.500 5.160 2= 1.2100 std deviation=     =    2 = 1.1000

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