Teaching CSIR NET Mock Test Series Communication Systems Probability and Random Variable Special Distributions
Consider two independent random variables U and V. U follows a normal distribution with mean 0 and standard deviation 1. V follows a Bernoulli distribution with p = 0.5. Define W as W = U + V.
Which of the following assertions are correct?
1
The random variable W follows a normal distribution.
2
The mean of the W distribution is 0.
3
The standard deviation of the W distribution is √2.
4
The distribution of W is a convolution of Normal and Bernoulli distributions.