Find the errors in each of the following statements: (a) The probabilities that

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.

Explanation / Answer

Ans:

a)P(0)+P(1)+P(2)+P(3)=0.19+0.38+0.29+0.15=1.01

As,it is probability distribution,should sum up upto1,but it is 1.01,so incorrect.

b)P(rain tomorrow)=0.4

P(not rain tomorrow)=1-0.4=0.6

But it is given 0.52,so incorrect.

(as P(A)+P(A')=1)

c)Probability value can not be negative.

d)P(heart)=13/52=1/4=0.25

P(black)=26/52=1/2=0.5

P(heart and black)=0 (as heart is red not black)

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