Fill in the blanks.

Question

Suppose that X~N(1,5). This says that X is a normally distributed random variable with mean
and standard deviation
.

Answer 1

Suppose that \( X \sim N(1, 5) \). This says that \( X \) is a normally distributed random variable with mean 1 and standard deviation \(\sqrt{5}\).

(Note: The standard deviation is the square root of the variance, which is the second parameter in the notation \( N(\mu, \sigma^2) \). Here, the variance is \( 5 \), so the standard deviation is \( \sqrt{5} \).)