Problems Solution (4.6, 4.7, & 4.8) | Expected Value,Exercise of Probability & Statistics by Walpole

In this problem set of 4.6 to 4.8 of chapter four of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole", I have solved exercise problems to find the expected value or average value of different random variables. Also, the expected gain and loss of any probabilistic event is also explained
4.6 An attendant at a car wash is paid according to the number of cars that pass through. Suppose the probabilities are 1/12, 1/12, 1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives $7, $9, $11, $13, $15, or $17 between 4:00 P.M. and 5:00 P.M. on any sunny Friday. Find the attendant’s expected earnings for this particular period.
4.7 By investing in a particular stock, a person can make a profit in one year of $4000 with probability 0.3 or take a loss of $1000 with probability 0.7. What is this person’s expected gain?
4.8 Suppose that an antique jewelry dealer is interested in purchasing a gold necklace for which the probabilities are 0.22, 0.36, 0.28, and 0.14, respectively, that she will be able to sell it for a profit of $250, sell it form a profit of $150, break even, or sell it for a loss of $150. What is her expected profit?
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[@ytshorts822]

Thank u sir🙂

[@EngineeringTutorOfficial]

So nice of you

[@022_rindyintanuchtiyana5]

Sir how about exercise 4.38?

[@EngineeringTutorOfficial]

I will solve it soon sir