Let x denote the sum of two distinct numbers selected randomly from the set of numbers StartSet 1 comma 2 comma 3 comma 4 comma 5 EndSet. {1, 2, 3, 4, 5}. Construct the probability distribution for the random variable x.

Step-by-step explanation:

Given:

The set of numbers {1, 2, 3, 4, 5}

Affter that, we find the sum um of two distinct numbers selected randomly from the set above;

1+2 = 3 1+3=4 1+4=5 1+5=6 2+3=5 2+4=6 2+5=7 3+4=7 3+5=8 4+5 = 9

Therefore, we have the following number: 3,4,5,6,5,6,7,7,8,9

so we have x = {3,4,5,6,5,6,7,7,8,9 }

now we find P (x) of each number, we have n (S) = 10

x 3 4 5 6 7 8 9

P (x) 1/10 1/10 1/10 2/10 2/10 2/10 1/10

Hope it will find you well.