The probabilities of the independent events A and B are 0.4 and 0.5 respectively. Find the following probabilities

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  1. The probabilities of the independent events A and B are 0.4 and 0.5 respectively. Find the following probabilities:

    a) The probability of A and B occurring.
    b) The probability of A but not B occurring.
    c) The probability of A or B occurring.
    d) The probability of A or not B occurring.
    e) The probability of A occurring given that B has occurred.
    f) The probability of A occurring given that B has not occurred.

 

  1.  Many firms require their employees to be screened for drugs. Some employees are concerned that a false positive may be recorded from the screening; that is, employees who are not drug abusers may incorrectly test positive. Assume that 10% in a particular population are drug abusers. Suppose that the probability of a false positive is 0.5% and that the probability of a correct positive on someone who is under the influence of drugs is 99.9%. What is the probability that a person who tests positive is really a drug abuser?
    • 12 years ago
    The probabilities of the independent events A and B are 0.4 and 0.5 respectively. Find the following probabilities
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