A continuous random variable X that can has a density function given byf(x)=\begin{cases}.25\ \ \ if\ 0<x<4\\0\ \ \ otherwise\end{cases}FindP(x=.5)

vazelinahS

vazelinahS

Answered question

2021-05-03

A continuous random variable X that can has a density function given by
f(x)=0.25 if 0
Find
P(x=.5)

Answer & Explanation

Jozlyn

Jozlyn

Skilled2021-05-04Added 85 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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