Question

Find the errors in each of the following statements: (a) The probabilities that an automobile salesperson will sell 0,1,2, or 3 cars on any given day in February are, respectively, 0.19,0.38,0.29, and 0.15 . (b) The probability that it will rain tomorrow is 0.40 , and the probability that it will not rain tomorrow is 0.52 . (c) The probabilities that a printer will make 0,1,2,3, or 4 or more mistakes in setting a document are, respectively, 0.19,0.34,−0.25,0.43, and 0.29 . (d) On a single draw from a deck of playing cards, the probability of selecting a heart is 1/4, the probability of selecting a black card is 1/2, and the probability of selecting both a heart and a black card is 1/8.

Answer 1

Errors in probability statements

Step-by-step explanation:

In statement (c), the probability of making -0.25 mistakes is not possible since probabilities should be between 0 and 1, inclusive. The correct probability for making 4 or more mistakes should be 0.35, not 0.29. In statement (d), the probabilities are incorrect.

The probability of selecting a heart and a black card cannot be greater than the individual probabilities of selecting a heart or a black card. Thus, the correct probabilities should be 1/4 for selecting a heart, 1/2 for selecting a black card, and 1/8 for selecting both a heart and a black card.