Question

When µ = ___ and σ = ___ we say that the random variable has a standard normal distribution.

(a) 0,1

(b) 0,0

(c) 1,0

(d) 1,1

This question was posed to me in an international level competition.

My enquiry is from Distribution topic in portion Distributions, Graphics & Neural Networks of R Programming

Answer 1

Right option is (a) 0,1

Explanation: When µ = 0 and σ = 1 we say that the random variable has a standard normal distribution and we typically write Z ∼ norm(mean = 0, sd = 1).