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

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

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) = (1)/(8)` for
`i = 1, \dots, 8`.

Then,

`P(X< 3) = P(X=1)+P(X=2)= (1)/(8)+(1)/(8) = (1)/(4)`