(b) Let x denotes the number of defective watch in a randomly selected box of a dozen of watches branded Fossel. 1 4 5 P(x) 0.45 0.25 0.16 0.09 0.03 0.02 Calculate the mean, variance as well as standard deviation of x. Compute the probability that the box contains at most two defective watches and interpret the answer. (ii) Compute the probability that the box contains less than two defective watches. Justify the lower probability value compared to answer in (ii). (ii1)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(b)
Let x denotes the number of defective watch in a randomly selected box of
a dozen of watches branded Fossel.
1
3
4
5
P(x)
0.45
0.25
0.16
0.09
0.03
0.02
Calculate the mean, variance as well as standard deviation of x.
Compute the probability that the box contains at most two defective
watches and interpret the answer.
(ii)
Compute the probability that the box contains less than two
defective watches. Justify the lower probability value compared to
answer in (ii).
(ii1)
Transcribed Image Text:(b) Let x denotes the number of defective watch in a randomly selected box of a dozen of watches branded Fossel. 1 3 4 5 P(x) 0.45 0.25 0.16 0.09 0.03 0.02 Calculate the mean, variance as well as standard deviation of x. Compute the probability that the box contains at most two defective watches and interpret the answer. (ii) Compute the probability that the box contains less than two defective watches. Justify the lower probability value compared to answer in (ii). (ii1)
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