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.

MATLAB: An Introduction with Applications
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A printing machine can print any one of n letters L₁, L2,..........Ln. It 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.
Transcribed Image Text:A printing machine can print any one of n letters L₁, L2,..........Ln. It 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.
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