Number 5.22 Explain why there must be a mistake in each of the following stateme
ID: 3174346 • Letter: N
Question
Number 5.22 Explain why there must be a mistake in each of the following statements: (a) The probability that a certain basketball player will score on a free throw is 0.67, and the probability that the will miss is 0.23. (b) A gold-panner knows that the probability is 0.25 that a pan of gold-bearing soil will contain gold and the probability is 0.90 that it will not contain gold. (c) The probability that a man will wear a tuxedo to a certain social event is 0.24, the probability that he will wear a business suit is 0.38, and the probability that he will wear a tuxedo or a business suit is 0.50. Explain why there must be a mistake in each of the following statements: (a) The probability that a new vaccine is effective is 1.09. (b) The probability that Tom will take Mary to the senior prom is 0.65, and the probability that Bill will take the same woman to the senior prom is 0.45.Explanation / Answer
(a) The sum of the probabilities that he will miss and he will not should be equal to one which is not happening here
(b)The sum of probability that gold panner will contain gold and will not contain gold should be equla to 1 which is not the case
(c)A man cannot wear both business suit and tuxedo, hence the sum of the probability that he wears a business suit and tuxedo should be equal to the probabilty that he wears either business suit or tuxedo, which is not the case here
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.