Question

There are four balls with the same size in a box. The balls are numbered 1, 2, 3 and 4. Sonya randomly picks up one ball, puts it back, and then randomly picks up one ball from the box. Let denote the sum of the numbers on the two balls she picked up. Find (round off to second decimal place).

Answer 1

Answer:

Explanation:

Here we have sampling with replacement. There are 4 x 4 = 16 out comes each with equal probability 1/16 .

The sample space being {1,2,3,4} {1,2,3,4} .

The random variable X representing the sum of the numbers on the balls has values from 2 to 8.

The other detailed steps and appropriate analysis is shown in the attached file.