True or false statements
The central limit theorem implies that any sample of any size can be approximated using normal distribution.
Let X be a normal random variable with mean 3 and variance 16. The value of k that satisfies P(4 less than or equal to X less than or equal to k) = 0.1747, is k = 6.50.
The random variable X is normally distributed with mean 2 and variance 4. Then the probability that X is less or equal to 3 is 0.5199.
A random variable, X, follows an exponential distribution with λ = 0.05. The random variable Y = 2X . Thus, Y has mean equal to 0.1 and variance 0.01.