# What are the mean and standard deviation of the probability density function given by #(p(x))/k=3x+1-e^(3x+1)# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?

##### 1 Answer

The problem asks for the solutions for both the **mean** and **standard deviation** **in terms of k**. Since we are given the interval for the p.d.f. ...

#### Explanation:

**mean**

**mean**

**mean**

Next, calculate the **variance** ...

**variance**

**variance**

**variance**

**variance**

**standard deviation**

**standard deviation**

This is what the asker wanted ... mean and standard deviation in terms of k.

However, John Garbriel **solved for k** above.

**mean**

**s.d.**

Hope that helped