Question

For a continuous probability distribution, $0\le x\le 15$. What is $P(x>15)$?

Short answer

The probability will be$P(x>15)=0$.

Step-by-step solution

Given information

Given in the question that a continuous probability distribution$0\le x\le 15$

Solution

Here in the question we are asked to find $P(x>15)$

So,

$P(x>15)=1-P(x\le 15)$

Since, $0\le x\le 15,P(0\le x\le 15)=1$. Thus,

$P(x>15)=1-\left[P\right(x<0)+P(0\le x\le 15\left)\right]$

$=1-[0+1]$

$=0$