Question

Let X be a standard normal random variable. Find P(X
-2.27). Express your answer as a decimal.

Answers

GPT-4o mini
To find \( P(X < -2.27) \) where \( X \) is a standard normal random variable, we can use the cumulative distribution function (CDF) for a standard normal distribution.

Using standard normal distribution tables or calculators, we can find \( P(X < -2.27) \).

Using a standard normal distribution table or a calculator:

\[
P(X < -2.27) \approx 0.0116
\]

Thus, the probability \( P(X < -2.27) \) is approximately \( 0.0116 \).