Question

Consider the continuous random variable with probability density function, f(t)=1+tfor −1≤t≤0=1−tfor 0≤t≤1What is the standard deviation of the random variable?

Answer 1

Given:

The random variable t

Probability density function f(t) = 1 + t       -1≤t≤0

                                                      1 - t        0≤t≤1    

To find:

We are asked to find the standard deviation of the random variable

Solution:

Standard deviation of a random variable is given by σ = E(x²) - ц

Refer to the below attached file for complete solution

∴The standard deviation of the given random variable =  $\frac{1}{\sqrt{6} }$

a3a0e6c8b6fc7108018640399109b59b.pdf

Answer 2

Answer:

see attached pdf for the answer