"if x is a discrete uniform random variable ranging from 0 to 12, find p(x ≥ 10)"

a.  FALSE

b.  FALSE

c.  FALSE

d.  TRUE

Step-by-step explanation:

Statement a.

2 (3 - 4 y) = 6 - 4 y

use distributive property on the left:

6 - 8 y    which is NOT 6 - 4 y  then, FALSE statement

Statement b.

3 + 5 (9 + 2 n) = 48 + 5 n

apply distributive property on the left:

3 + 45 + 10 n = 48 + 10 n  which is NOT 48 + 5 n  then , FALSE statement

Statement c.

9 - 3 (y - 2) = 3 - 3 y

apply distributive property on the left:

9 - 3 y + 6 = 15 - 3 y   which is NOT 3 - 3 y  then, FALSE statement

Statement d.

3 (6 x - 2) - 7 = 18 x - 13

apply distributive property on the left:

18 x - 6 - 7 = 18 x - 13  which IS the same as 18 x - 13  then , TRUE statement