A study was recently done in which 500 people were asked to indicate their prefe

Question

A study was recently done in which 500 people were asked to indicate their preferences for one of three products. The following table shows the breakdown of the responses by gender of the respondents. Suppose one person is randomly chosen. Based on this data, what is the probability that the person chose is a female who prefers product B? a. 0.14 b. 0.86 c. 0.92 d. 0.31 e. None of the above. Use the following to answer questions 2 ad 3: Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table. What is the joint probability that a salesperson selected at random has below average sales ability and is a good potential for advancement? a. 0.200 b. 0.024 c. 0.270 d. 0.750 e. None of the above What is the joint probability that a salesperson selected at random will have average sales ability and good potential for advancement? a. 0.09 b. 0.12 c. 0.30 d. 0.525 e. None of the above

Explanation / Answer

1:

Number of persons who prefer product B is 20+70 = 90

Out of these 90 people 70 are female so required probability is

P(female|prefer B) = 70 /90 =0.78

So option e is correct.

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