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The probability that a plasma TV produced at a certain plant does not meet specifications is...

The probability that a plasma TV produced at a certain plant does not meet specifications is 0.1. When an order (for a single TV) is received, the sets coming off the production line are tested and the first one that meets specifications is shipped. a. What is the probability that the first set tested is shipped? b. What is the probability that the second set tested is shipped? Let X be the number of sets tested, up to and including the first one that is shipped. c. Find p(X = 5). d. What are the possible values of X? e. Give a formula for the probability mass function of X.

math   Statistics-And-Probability   
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Answer #1

(a)

Geometric Distribution

p = 0.9

q = 1 - p = 0.1

x = 1

for X = 1, 2, 3,..

For x = 1:

(b)

For x = 2:

(c)

(d) Possible values of X = 1, 2, 3,..

(e) A formula for the Probability Mass Function of X is given by:

for X = 1, 2, 3,..

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