rcise 5.2 Suppose that the probability of a successful optical alignment in the assembly of an optical data storage product is 0.8. Assume that the trials are independent. 1. Determine the probability mass function of the number of trials (X) required until the first successful alignment. 2. Find the probability that the first successful alignment requires four Trials at the maximum. 3. Calculate the mean and variance of X.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5.2

Exercise 5.2 Suppose that the probability of a successful optical alignment in the
assembly of an optical data storage product is 0.8. Assume that the trials are
independent.
1. Determine the probability mass function of the number of trials (X)
required until the first successful alignment.
2. Find the probability that the first successful alignment requires four
Trials at the maximum.
3. Calculate the mean and variance of X.
Transcribed Image Text:Exercise 5.2 Suppose that the probability of a successful optical alignment in the assembly of an optical data storage product is 0.8. Assume that the trials are independent. 1. Determine the probability mass function of the number of trials (X) required until the first successful alignment. 2. Find the probability that the first successful alignment requires four Trials at the maximum. 3. Calculate the mean and variance of X.
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