The probability that a company’s work force has no accidents in a given month is 0.7. The numbers of accidents from month to month are independent. What is the probability that the 3rd month of the year is when the second accident occurs?
P(no accident in a month), p = 0.7
P(accident in a month), q = 1 - p = 0.3
P(3rd month of the year is when the second accident occurs) = P(exactly one accident in first 2 months and accident in third month)
= P(exactly one accident in first 2 months) x P(accident in 3rd month)
= (2C1x0.7x0.3) x 0.3
= 0.126
The probability that a company’s work force has no accidents in a given month is 0.7....
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