Let X1 and X2 have the joint pmf p(x1, x2) = x1x2/36, x1 = 1, 2,3 and x2 = 1, 2, 3, zero elsewhere. Find first the joint pmf of Y1 = X1X2 and Y2 = X2, and then find the marginal pmf of Y1

45 different ways to fill the positions.

Step-by-step explanation:

Consider the provided information.

Management selection. A corporation plans to fill 2 different positions for vice-president, V₁ and Upper V₂, from administrative officers in 2 of its manufacturing plants. Plant A has 9 officers and plant B has 5.

We need to find the probability that 2 positions be filled if the Upper V₁ position is to be filled from plant A and the Upper V₂, position from plant B?

To fill the post of V₁ from plant A, which has 9 officers, we have 9 ways.

To fill the post of V₂ from plant B, which has 5 officers, we have 5 ways.

Therefore, the total number of ways are:

Hence, 45 different ways to fill the positions.