Use the following to answer questions 2 and 3: Each salesperson in a large depar

Question

Use the following to answer questions 2 and 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

a)

This is a conditional probability calculation. You can either find the probability of below average ability given good advancement, and multiply by the probability of good.

Or

Find P (Good |Below Average)*P (Below Average).

This follows from the definition of conditional probability.

That is

(50/500)(12/50) = 0.024

So the correct answer is Option b.

b)

This is a conditional probability calculation. You can either find the probability of average ability given
good advancement, and multiply by the probability of good.

Or

Find P (Good |Average)*P (Average).

This follows from the definition of conditional probability.

That is

(150/500)(60/150) = 0.12

So the correct answer is Option b.

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