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a. Compute programs b. Compute programs the probability that exactly 8 out of 11 will compile given B. the probability that exactly 8 out of 11 will compile given Bc.

a. Compute programs b. Compute programs the probability that exactly 8 out of 11 will compile given B. the probability that exactly 8 out of 11 will compile given Bc.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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A programmer is about to attempt to compile a se- ries of 11 similar programs. Let A; be the event that the ith program compiles successfully for i = 1, ..., 11. When the programming task is easy, the programmer expects that 80 percent of programs should compile. When the programming task is difficult, she expects that only 40 per- cent of the programs will compile. Let B be the event that the programming task was easy. The programmer believes that the events A₁,..., A11 are conditionally independent given B and given Bº. a. Compute the probability that exactly 8 out of 11 programs will compile given B. b. Compute the probability that exactly 8 out of 11 programs will compile given Bº.
Transcribed Image Text:A programmer is about to attempt to compile a se- ries of 11 similar programs. Let A; be the event that the ith program compiles successfully for i = 1, ..., 11. When the programming task is easy, the programmer expects that 80 percent of programs should compile. When the programming task is difficult, she expects that only 40 per- cent of the programs will compile. Let B be the event that the programming task was easy. The programmer believes that the events A₁,..., A11 are conditionally independent given B and given Bº. a. Compute the probability that exactly 8 out of 11 programs will compile given B. b. Compute the probability that exactly 8 out of 11 programs will compile given Bº.
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