Question

A store carries four brands of CD players, J, G, P, And S. From past records, the manager found that the relative frequency of brand choice among customers varied. Which of the following probability assignments for a particular customer choosing a particular brand of CD player would have be rejected? Why?

Should probability assignment (A) be rejected? Why or why not?

(A) P(J) = 0.15, P(G )= - 0.15, P(P) = 0.41, P(S )= 0.59

Should probability assignment (B) be rejected? Why or why not?

(B) P(J) = 0.16, P(G) = 0.19, P(P) = 0.19 , P(S) = 0.52

Should probability assignment (C) be rejected? Why or why not?

(C) P(J) = 0.28 , P(G) = 0.30, P(P) = 0.23, P(S) = 0.19

Answer 1

Answer: A: rejected

B: rejected

C: not rejected

Explanation:

(A) Should be rejected. This is because probabilities cannot be negative, but P(G) = -0.15 is negative.

(B) Should be rejected. This is because the sum of all the probabilities must equal 1, but in this case, the sum is 1.06, which is greater than 1.

(C) Should not be rejected. All of the probabilities are positive and the sum of the probabilities is exactly 1, which satisfies the rules of probability.