Question

A continuous random variable x that can assume any value between x = 2 and x = 5 has a density function given by f(x) = k (1+x). Find P(X<4)​

Answer 1

To find P(X<4), calculate the cumulative distribution function (CDF) which is 1 - e^(-0.25(4)). The probability is 0.6321.

Step-by-step explanation:

The given density function is f(x) = k(1+x) where x can assume any value between x = 2 and x = 5.

To find P(X<4), we need to calculate the cumulative distribution function (CDF).

The CDF gives the area to the left of a certain value.

The CDF is given by

P(x<x) = 1 - e^(-mx).

So, P(x<4) = 1 - e^(-0.25(4))

= 0.6321.