i. Show that k = 1/6 ii. Find the mean of the probability distribution. ii. Find the variance of the probability distribution.

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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The discrete probability distribution is given
by
1
k
2k
3k
i.
Show that k = 1/6
ii.
Find the mean of the probability
distribution.
iii.
Find the variance of the probability
distribution.
Transcribed Image Text:Question The discrete probability distribution is given by 1 k 2k 3k i. Show that k = 1/6 ii. Find the mean of the probability distribution. iii. Find the variance of the probability distribution.
b)
It is known that an average of 5 trains
pass through Grand Central Terminal every 30
minutes. Find the probability that
i.
Exactly 4 trains will pass in 30
minutes
ii.
less than 2 trains will pass in an
hour
Transcribed Image Text:b) It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find the probability that i. Exactly 4 trains will pass in 30 minutes ii. less than 2 trains will pass in an hour
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