Question

An employee is selected from a staff of 14 to supervise a certain project by selecting a tag at random from a box containing 14 tags numbered from 1 to 14. 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 distribution is p(x)=1/14

the probability that the number drawn is less than 3 is 0.1429

Explanation:

The variable X follows a uniform discrete distribution, in which we have k possible values and all of them have the same probability.

So, the probability that X is the number of the tag that is drawn is:

P(X) = 1/k = 1/14

Because there are 14 employees or possibles supervisors for the project.

Then, the probability that the number drawn is less than 3 is calculated as:

P(X<3) = P(1) + P(2)

P(X<3) = 1/14 + 1/14

P(X<3) = 2/14 = 0.1429