1.6 - And, Or, & Not (Solutions)

1.6 - And, Or, & Not (Solutions) - 1.6 And, Or, &...

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1 Section 1.6 INDEPENDENT vs. MUTUALLY EXCLUSIVE INDEPENDENT: Two events are independent if, the probability of one is unaffected by whether the other event has occurred. MUTUALLY EXCLUSIVE: Two events that cannot happen at the same time.
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2 What is the probability that a randomly selected customer is MALE and SATISFIED with the service at Dr. Millar’s? 10 4 S) P(M 4 0 . This is an example of a JOINT probability AND ” PROBABILITIES SATISFIED NOT SATISFIED TOTAL FEMALE 0.3 0.1 0.4 MALE 0.4 0.2 0.6 TOTAL 0.7 0.3 1.0 What is the probability that a randomly selected customer is MALE and SATISFIED with the service at Dr. Millar’s? 4 0 S M P . ) ( AND ” PROBABILITIES
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3 JOINT VS. CONDITIONAL JOINT PROBABILITY CONDITIONAL PROBABILITY P(satisfied given male)= P(S|M)= 0.67 Uses ENTIRE sample space Uses a SUBSET of the sample space B) | P(A P(B) B) P(A A) | P(B P(A) B) P(A MULTIPLICATION RULE NOT INDEPENDENT AND ” PROBABILITIES
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4 Suppose we have 10 female job applicants & 12 male job applicants. If the hiring company randomly selects two applicants to interview, what is the probability both are male? 1st) M | 2nd P(M 1st) M P( 2nd) M 1st P(M 22 12 21 11 462 132 0.29 Does the chance that 1 st interviewee is male affect the chance that the 2 nd interviewee is male? YES Therefore events are… NOT INDEPENDENT AND ” PROBABILITIES MULTIPLICATION RULE INDEPENDENT For events that are INDEPENDENT : A) | P(B P(B) P(B) P(A) B) P(A Therefore MULTIPLICATION RULE becomes: AND ” PROBABILITIES
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This note was uploaded on 10/04/2011 for the course MATH 1045 taught by Professor John during the Fall '10 term at Fanshawe.

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1.6 - And, Or, & Not (Solutions) - 1.6 And, Or, &...

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