Question
If a random variable X is normally distributed with mean μ and standard deviation σ, we use the notation: X~N(μ,σ).
For example, X~N(2,1) means that X is normally distributed with mean 2 and standard deviation 1.
Use the above notation to indicate that:
a) random variable X is normally distributed with mean 3 and standard deviation 4
b) random variable X is normally distributed with mean 0 and standard deviation 5
For example, X~N(2,1) means that X is normally distributed with mean 2 and standard deviation 1.
Use the above notation to indicate that:
a) random variable X is normally distributed with mean 3 and standard deviation 4
b) random variable X is normally distributed with mean 0 and standard deviation 5
Answers
GPT-4o mini
a) The notation for the random variable \( X \) being normally distributed with mean 3 and standard deviation 4 is:
\[ X \sim N(3, 4) \]
b) The notation for the random variable \( X \) being normally distributed with mean 0 and standard deviation 5 is:
\[ X \sim N(0, 5) \]
\[ X \sim N(3, 4) \]
b) The notation for the random variable \( X \) being normally distributed with mean 0 and standard deviation 5 is:
\[ X \sim N(0, 5) \]