Question

5.If the cumulative distribution function of X is given by the function below, then find P (X < 1.5).

F(x)=0, if x ≤ 0
F(x)=1/8 x^3, if 0< x ≤ 2
F(x)=1, if x > 2

Answer 1

Please help, I am a newbie with CDF and PDF. I am stuck with this question.

Answer 2

Use these tools: http://www.acalculator.com/math-calculators.html

Answer 3

Thanks, Let me see if the site can help.

Answer 4

Nope, the site doesn't have tools needed to solve my problem.

Answer 5

The CDF of a probability distribution is defined as \(F_X(x)=P(X\le k)\), so the probability you want is exactly \(F_X(1.5)\).

Note: For continuous random variables, \(P(X\le k)=P(X<k)\).