Question

Question Help Suppose Walmart introduces an offer of a fat 25% discount on the entire bill for the purchase of any electronic item. It also offers an additional $100 discount on the entire is for the purchase of any kitchenware item conditional on the purchase of an electronic tem. Let X denote the before-discount expenditure of a shopper who purchases both an electronics tom and a kitchenware item, and let ydenote this shopper's after discount expenditure. foydenotes the standard deviation of this shopper's before-discount expenditure, the standard deviation of the after discount expenditure of this shopper is (Carefully enter your response as an algebraic expression, using the proper notation in the proper format) The value of variance is O Always negative OB always non-negative OC always positive OD none of the above

Answer 1

Answer:- SO by definition of y, if expenditure before discount x = 1000. after 25%. discount it is 1000 X (1-0.25) - 650 so finally the Expenditure Oftes discount Y - 650 -100 SO Relation between x and yis : Y-0.75 X – 100 Now we know, if y= a +bx then Var (y) = 6 var (x) So, here; Y = 0.75% -100 VCY) = 0.75 XV(x) Gy=0.75ox non The value of the variance is always negative Note : variance from a random variable will be strictly the variable is a constant. Variance positive is o only when the random variable is a constant. unless Note ask me if you have any doubt feel free to in a comments if you liked my Answer give thumbs up ma 0