A research facility has a position open. The probability that an applicant has h

Question

A research facility has a position open. The probability that an applicant has had lab safety training is 0.68. The probability that an applicant has had hazardous material training is 0.66. The probability that an applicant has had both safety training and hazardous material training is 0.35 a. What is the probability that an applicant has had either safety training or hazardous material training? ANS What is the probability that a randomly selected person has had safety training given they have already had hazardous material training? b. ANS Are safety training and hazardous material training mutually exclusive? Why or why not? c.

Explanation / Answer

a) P(either safety training or hazardous material training) = 0.68+0.66-0.35 = 0.99

b) P(Safety training/hazardous material training) = 0.35/0.66 = 0.5303

c) No, they are not mutually exclusive because P(Either safety training and hazardous material training) is not zero

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