Normal distribution

Suppose a random variable Z follows Normal($\mu$ = 0, $\sigma^2$ = 1) distribution with probability density function $g(z)$ and cumulative distribution function $G(z)$. Another ran...

Let X and Y be two independent random variables. X follows Bernoulli(p = 0.3) distribution and Y follows Normal(μ = 0, σ² = 100) distribution. Which of the following options is the...

Let X_1,X_2,...,X_n be n independent random variables. Each of the random variables follows Normal(μ = 0, σ² = 1) distribution. Define X̄ = (1/n)Σ_{i=1}^n X_i . Which of the follow...