Use Bayes' rule to find the indicated probability.Two stores sell a certain MP3 players. Store A has 34% of the sales, 5% of which are of defective items, and store B has 66% of the sales, 1% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?
A. 0.275
B. 0.22
C. 0.5667
D. 0.7083
Answer: A
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Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.(24a)5
A. 220a5 B. 29a C. 24a5 D. 29a5
The proportion P of doctors aware of a new treatment after t months may be modeled by the differential equation dP/dt = k(0.9-P) where k is a constant.
(a) Write the first-order linear differential equation in standard form. (b) Solve for P(t ) given that P(0) = 0 (c) Suppose that for P(6) = 0.5 . Use this to determine k. (d) Find P(18). (e) Find t so that P(t ) = 0.85 . In other words, how many months will it take for 85% of doctors to become aware of this treatment?
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