A printing machine can print any one of n letters L₁, L2,..........Ln. It is operated by electrical impulses, each letter being produced by a different impulse. Assume that there is a constant probability p that any impulse prints the letter it is meant to print. Also assume independence. One of the impulses is chosen at random and fed into the machine twice. Both times, the letter L₁ was printed. Find the probability that the impulse chosen was meant to print the letter L₁.

A printing machine can print any one of n letters L₁, L2,..........Ln. It is operated by electrical impulses, each letter being produced by a different impulse. Assume that there is a constant probability p that any impulse prints the letter it is meant to print. Also assume independence. One of the impulses is chosen at random and fed into the machine twice. Both times, the letter L₁ was printed. Find the probability that the impulse chosen was meant to print the letter L₁.

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.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 84CR

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