Determine the values of the random variables in each of the following distributions
A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If three envoys were selected at random one after the others, determine the values of the random variable F representing the number of Filipinos
Answers
Given : A meeting of envoys was attended by 4 Koreans and 2 Filipinos
three envoys were selected at random one after the others,
To Find :
values of the random variable F representing the number of Filipinos
Solution:
3 out of 6 can be selected in ⁶C₃ = 20 Ways
F = 0 => ⁴C₃.²C₀ = 4 Ways => probability = 4/20 = 1/5
F = 1 => ⁴C₂.²C₁ = 12 Ways => probability = 12/20 = 3/5
F = 2 => ⁴C₁.²C₂ = 4 Ways => probability = 4/20 = 1/5
F = 3 not possible as only 2 are there
Expected value of F = 0 * (1/5) + 1(3/5) + 2(1/5)
= 3/5 + 2/5
= 5/5
= 1
values of the random variable F representing the number of Filipinos is 1
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