If X is a random variable with expected value 2, then the expected value of 5X will be:

E(5X) = 10

Step-by-step explanation:

The expected value of a random variable X is denoted as; E(X)

Now we are told it's equal to 2.

Thus;

E(X) = 2

Now, we want to find the expected value of 5X

We will use the principle from expected value derivations below;

E(cX + d) = cE(X) + d

Also;

If E(X) = z

Then;

E(aX) will give; aE(X) = az

From our question, we have;

E(X) = 2

Thus;

E(5X) = 5E(X) = 5 × 2 = 10

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.

i cant answer this, theres no table. sorry man

step-by-step explanation: