Question

Given a normal distribution of quantity x, N(x), what is the probability that a given sample quantity, x1, will lie between x xo and xx2? (B)N(2) N() N (2)N() 71 N(2)-N(O

Answer 1

Here x is normally distributed with probability density function N(x).

The probability that a given sample quantity x1 will lie between x0 and x2 is

$P(x_0<x<X_2)=\int_{x_0}^{x_2}N(x) dx$