20. Using the following uniform density curve, answer the question.

What is the probability that the random variable has a value greater than 2?
0.875
0.700
0.625
0.750

Pr[X > 2] corresponds to the area under the graph of P(x) for 2 ≤ x ≤ 8, which is a rectangle with base 8 - 2 = 6 and height 0.125. So

Pr[X > 2] = 6 • 0.125 = 0.750

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1