Question

In a random experiment, we have two boxes. Each box contains 4 balls, numbered 1, 2, 3, and 4. We are picking 1 ball from each box at random. We are interested in the sum of the numbers on the balls we pick. That is, if we pick a ball with the number 3 from box 1, and a ball with the number 2 from box 2, we are interested in the sum of 3 and 2, that is: 5. The sum is our random variable X. 5- What is the probability of picking two balls with the sum of their numbers being equal to 5? 6- Find the Cumulative Distribution Function of X. That is: find F_X(x) = P(X ? x), for all x ? ?. 7- What is the probability of picking two balls where the sum of their numbers is equal to or less than 5? 8- Find the Expected Value of X. 9- Find the Variance X. 10- Find the Standard Deviation of X.

          In a random experiment, we have two boxes. Each box contains 4 balls, numbered 1, 2, 3, and 4. We
are picking 1 ball from each box at random. We are interested in the sum of the numbers on the
balls we pick. That is, if we pick a ball with the number 3 from box 1, and a ball with the number 2
from box 2, we are interested in the sum of 3 and 2, that is: 5. The sum is our random variable X.
5- What is the probability of picking two balls with the sum of their numbers being equal to 5?
6- Find the Cumulative Distribution Function of X. That is: find F_X(x) = P(X ? x), for all x ?
?.
7- What is the probability of picking two balls where the sum of their numbers is equal to or
less than 5?
8- Find the Expected Value of X.
9- Find the Variance X.
10- Find the Standard Deviation of X.

In a random experiment, we have two boxes. Each box contains 4 balls, numbered 1, 2, 3, and 4. We
are picking 1 ball from each box at random. We are interested in the sum of the numbers on the
balls we pick. That is, if we pick a ball with the number 3 from box 1, and a ball with the number 2
from box 2, we are interested in the sum of 3 and 2, that is: 5. The sum is our random variable X.
5- What is the probability of picking two balls with the sum of their numbers being equal to 5?
6- Find the Cumulative Distribution Function of X. That is: find FX(x) = P(X ? x), for all x ?
?.
7- What is the probability of picking two balls where the sum of their numbers is equal to or
less than 5?
8- Find the Expected Value of X.
9- Find the Variance X.
10- Find the Standard Deviation of X.

Added by Teresa B.

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