activity 1 Box A and Box B both contain the numbers 1, 2, 3 and 4. Write the probability mass function and draw the histogram of the sum when one number from each box is taken at a time, with...

activity 1

Box A and Box B both contain the numbers 1, 2, 3 and 4. Write the
probability mass function and draw the histogram of the sum when one number
from each box is taken at a time, with replacement.

Step 1:

Let X be a random variable represented by the sum of the outcomes, The 16
possible outcomes grouped according to their sums are:
2 = (1, 1)
3 =
4 =
5 =
6 =
7 =
8 =

Step 2:

Hence, the probability mass function:

Step 3:

Plot the Histogram.

Activity 2

Answer the following using the given discrete probability distribution.

Find:
1. P(3)
2. P(1) + P(4)
3. P(2)P(3)
4. The probability that x assumes a value greater than 1, P(x >1)
5. The problem that x assumes a vale between 2 and 4, P(2<><>