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