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For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.5, and P(R3) = 0.45. Also, P(Q|R1) P(Q|R2) = 0.3, and P(Q|R3) = 0.6. Find P(R3 |Q). = 0.7, P(R3 |Q) =D (Type an integer or a simplified fraction.)

For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.5, and P(R3) = 0.45. Also, P(Q|R1) P(Q|R2) = 0.3, and P(Q|R3) = 0.6. Find P(R3 |Q). = 0.7, P(R3 |Q) =D (Type an integer or a simplified fraction.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 39E: Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops...
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For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R2) = 0.5, and P(R3) = 0.45. Also, P(Q|R¡) = 0.7, P(Q | R2) = 0.3, and P P(R3 I Q). (QIR3) = 0.6. Find P(R3 IQ) =D (Type an integer or a simplified fraction.)
Transcribed Image Text:For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R2) = 0.5, and P(R3) = 0.45. Also, P(Q|R¡) = 0.7, P(Q | R2) = 0.3, and P P(R3 I Q). (QIR3) = 0.6. Find P(R3 IQ) =D (Type an integer or a simplified fraction.)
Companies A, B, and C produce 20%, 20%, and 60%, respectively, of the major appliances sold in a certain area. In that area, 2% of the company A appliances, 4-% 2 of the company B appliances, and 4% of the company C appliances need service within the first year. Suppose a defective appliance is chosen at random; find the probability that it was manufactured by Company B. The probability that it came from company B is (Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:Companies A, B, and C produce 20%, 20%, and 60%, respectively, of the major appliances sold in a certain area. In that area, 2% of the company A appliances, 4-% 2 of the company B appliances, and 4% of the company C appliances need service within the first year. Suppose a defective appliance is chosen at random; find the probability that it was manufactured by Company B. The probability that it came from company B is (Type an integer or decimal rounded to four decimal places as needed.)
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