Give the probability distribution and find the expected valu

Give the probability distribution and find the expected value. -A grocery store has 10 bouquets of flowers for sale, 3 of which are rose displays, two bouquets are selected at random, and the number of rose bouquets is notes.

Solution

Give the probability distribution and find the expected value.

Here, the distribution is HYPERGEOMTRIC DISTRIBUTION, as we have a finite population in which the number of successes is constant. [ANSWER, HYPERGEOMETRIC DISTRIBUTION]

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The expected value is given by

E(x) = n K / N

where

n = sample size = 2
K = number of successes in the population = 3
N = population size = 10

Thus,

E(x) = 2*3/10 = 0.6 [ANSWER]