Question

In a group of 50 people , 20 are vegetarian. If two people are selected at random, what is the mean of the probability distribution for the selected people who are vegetarian

Answer 1

The group of 50 people is the sample size of the probability distribution

The mean of the probability distribution for the selected people who are vegetarian is 0.8

How to determine the mean of the probability distribution

The given parameters are:

Sample Size, n = 50

Selected people, x = 20

Start by calculating the proportion (p)

$p = \frac xn$

So, we have:

$p = \frac {20}{50}$

$p = 0.4$

When 2 people are selected;

We have:

n = 2

So, the mean is:

$\bar x = np$

This gives

$\bar x = 2 * 0.4$

$\bar x = 0.8$

Hence, the mean of the probability distribution for the selected people who are vegetarian is 0.8

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