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?

The probability distribution is p(x)=1/14

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

Step-by-step 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

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step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12