Question

An employee is selected from a staff of 8 to supervise a certain project by selecting a tag at random from a box containing 8 tags numbered from 1 to 8. Find the formula for the probability distribution of X representing the number on the tag that is drawn. What is the probability that the number drawn is less than 3​?

Answer 1

Answer:

The probability that the number drawn is less than 3​ is 0.25

Step-by-step explanation:

Let us assume that each number is equally likely to be drawn. Let X be the number that is drawn, then

$P(X=i) = \frac{1}{8}$ for $i = 1, \dots, 8$.

Then,

$P(X< 3) = P(X=1)+P(X=2)= \frac{1}{8}+\frac{1}{8} = \frac{1}{4}$