Teaching CSIR NET Mock Test Series Communication Systems Probability and Random Variable Special Distributions
Let's consider the normal distribution of a random variable Z. The mean (μ) of the distribution is 3, and standard deviation (σ) is 2. Assume a second random variable Y that is defined as Y = 2Z+1. Which of the following statements are correct?
1
The mean of the Y distribution is 7.
2
The standard deviation of the Y distribution is 2.
3
The random variable Y follows a normal distribution.
4
The probability P(Y < 5) can be expressed as P(Z < 2).