Solve the following LPP using graphical method:

Maximize Z = 3x₁ + 2x₂

Subject to the Constraints:

-2x₁ + x₂ ≤ 1

x₁ ≤ 2

x₁ + x₂ ≤ 3

x1, x₂ ≥0

The Set $ ={(x, y) : 0 ≤ y ≤ 5 when 0 ≤ x≤ 2 and 3≤ y≤ 5 when 2≤ x ≤ 7 } is not a convex set.

The lifespan (in ‘000 hours) of four LED bulbs of 07 watts are as follows: 40,46,48, 50

(i) Write all samples of size 2without replacement from the above observations.Compute the sampling distribution and find mean and standard error of the distribution.

(ii) Write all samples of size 3 without replacement from the above observations. Compute the sampling distribution and find mean and standard error of the distribution.

(iii) Compare means and standard errors and draw the conclusion.

The annual sales revenue (in lakhs of Rs) of a product as a function of sales force (number of salesmen) and annual adverting expenditure (in Thousands of Rs) for the past 10 years are summarised in following table:

In a certain game, Ravi beats Pawan with probability 2/5. They play a series of games until one of them wins six games. Assume that each game is independent of the other. Find the probability that the series will end after 10 games

What is the probability that a person arriving at the booth will have to wait?

If the coefficient of determination is 0.833, the number of observations and independent variables are 12 and 3, respectively, then Adjusted R² will be 0.84.