Safarl Fle Edit View Window Help @ 88% W. Wed 7:06 PM uper shoppers? A spermarke

Question

Safarl Fle Edit View Window Help @ 88% W. Wed 7:06 PM uper shoppers? A spermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a mpon. In the following table, income units are In thousands of dollars, and each interval goes up to but does not indlude the given high value. The midpoints are given to the nearest thousand dollars Income range (a) using the income midpoints x and the percent of super shoppers, do we have a vaild probablity distribution? Explain. O Yes. The events are distinet and the probabilities do not sum to 1 O No. The events are indistinct and the probabilizies sum to more than 1 . The events are indistinct and the probabilees sum to less than 1. The·vents are indistinct and the probabi es sum to 1. O Yes. The events are distinct and the probabilities sum to 1 (b) Use a histogram to graph the probability distribution of part (a). MacBook Air

Explanation / Answer

Solution:-
a) option E Yes. The events are distinct and the probabilities sum to 1.

b) option D.

c) =(10x22+20x14+30x20+40x16+50x19+60x9)/100 = 3230/100=32.3

d) = {(10-32.3)^2x22 +(20-32.3)^2x14 +(30-32.3)^2x20 +(40-32.3)^2x16 +(50-32.3)^2x19 + (60-32.3)^2x9 }/99
= 16.506

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