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 First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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