Suppose the cumulative distribution function (CDF) of continuous random variable X is defined as follows: where x ≥ 0.What is P(X 1.25)?
A) 0.7467
B) 0.5833
C) 0.2533
D) 0.7333

Question

Suppose the cumulative distribution function (CDF) of continuous random variable X is defined as follows:  where x ≥ 0.What is P(X > 1.25)?
A) 0.7467 
B) 0.5833 
C) 0.2533 
D) 0.7333

Quizplus · Accepted Answer

P(X > 1.25) can be found by subtracting the cumulative probability up to 1.25 from 1.
P(X > 1.25) = 1 - F(1.25) = 1 - (0.3333 + (0.6667 * e^(-0.5))) = 0.2533 (rounded to four decimal places). Therefore, the answer is (C).

Suppose the Cumulative Distribution Function (CDF) of Continuous Random Variable