Suppose that the probability of a successful optical alignment in the assembly of an optical data storage product is 0.9. Assume that the trials are independent. a. Determine the probability mass function of the number of trials (x) required until the first successful alignment. b. Find the probability that the first successful alignment requires trials four trials at the maximum. c. Calculate the mean and variance of x.
Suppose that the probability of a successful optical alignment in the assembly of an optical data storage product is 0.9. Assume that the trials are independent. a. Determine the probability mass function of the number of trials (x) required until the first successful alignment. b. Find the probability that the first successful alignment requires trials four trials at the maximum. c. Calculate the mean and variance of x.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Suppose that the probability of a successful optical alignment in the assembly of an optical data storage product is 0.9. Assume that the trials are independent.
a. Determine the probability mass
b. Find the probability that the first successful alignment requires trials four trials at the maximum.
c. Calculate the mean and variance of x.
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