3 years ago

I WILL GIVE YOU A BRILLIANT

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

6 0

Answer:

A is the most suitable answer

ozzi3 years ago

6 0

A
It’s the most suitable answer

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From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?

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The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

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$P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}$

$P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}$

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The expected number of men in the delegation is

$E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)$

$E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}$

$E(x)=\dfrac{6}{7}$

$E(x)\approx 0.86$

Therefore, the expected number of men in the delegation is 0.86.

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