Supplementary Problem 4.38 Purchasing Survey asked purchasing professionals what

Question

Supplementary Problem 4.38 Purchasing Survey asked purchasing professionals what sales traits impressed them most in a sales representative. Seventy-eight percent selected "thoroughness." Forty percent responded "knowledge of your own product." The purchasing professionals were allowed to list more than one trait. Suppose 27% of the purchasing professionals listed both "thoroughness" and "knowledge of your own product" as sales traits that impressed them most. A purchasing professional is randomly sampled a. What is the probability that the professional selected "thoroughness" or "knowledge of your own product"? (Round the answer to 2 decimal places p= b. What is the probability that the professional selected neither "thoroughness" nor "knowledge of your own product"? (Round the answer to 2 decimal places.) p= c. If it is known that the professional selected "thoroughness," what is the probability that the professional selected "knowledge of your own product"? (Round the answer to 3 decimal places.) d. What is the probability that the professional did not select "thoroughness" and did select "knowledge of your own product"? (Round the answer to 2 decimal places.) p=

Explanation / Answer

let A =event of thouroughness impressed them most'

B =knowledge of own product impressed them most'

a)

P(A U B) =P(A)+P(B)-P(A n B) =0.78+0.4-0.27 =0.91

b)

Probability =1-P(A U B) =1-0.91 =0.09

c)

P(B|A) =0.27/0.78 =0.346

d)P(Ac n B) =P(B)-P(A n B) =0.4-0.27 =0.13

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