ddaeeric

2021-11-05

A continuous random variable X that can has a density function given by

Find

P(x=.5)

Brittany Patton

Skilled2021-11-06Added 100 answers

Step 1

From the given information,

The density function is,

f(x)=0.25, if 0<x<4

Here, the random variable X is a continuous distribution.

Step 2

Note:

For continuous random variables, the probability at a particular point is zero.

That is, P(X=a)=0.

Consider,

P(X=0.5)=0 because X is a continuous random variable

From the given information,

The density function is,

f(x)=0.25, if 0<x<4

Here, the random variable X is a continuous distribution.

Step 2

Note:

For continuous random variables, the probability at a particular point is zero.

That is, P(X=a)=0.

Consider,

P(X=0.5)=0 because X is a continuous random variable