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

ddaeeric

ddaeeric

Answered question

2021-11-05

A continuous random variable X that can has a density function given by
f(x)={.25   if 0<x<40   otherwise
Find
P(x=.5)

Answer & Explanation

Brittany Patton

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

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