An urn contains 10 balls with the number ‘5’ printed on them, 6 balls with ‘4’ printed on them, and 4 balls with ‘2’ printed on them. consider the experiment of picking a random ball from the urn and observing the number printed on the ball. if x is the number observed, what is e[x]?

4.1

Step-by-step explanation:

Given : An urn contains 10 balls with the number ‘5’ printed on them, 6 balls with ‘4’ printed on them, and 4 balls with ‘2’ printed on them.

Total balls = 10+6+4=20

Let A , B and C are the events of drawing ball with the number ‘5’, ball with the number ‘4’ and ball with the number ‘2’ respectively.

Then,

If X is the number observed.

Since

Then,

Hence, E[X]=4.1

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0