For a standard normal distribution, find:
\[
P(z< -0.95)
\]
Answer
\(\boxed{\text{Final Answer: The probability that a value from a standard normal distribution is less than -0.95 is approximately 0.171.}}\)
Step 1 ：We are given a standard normal distribution and we need to find \(P(z<-0.95)\). This is the probability that a value from this distribution is less than -0.95.
Step 2 ：To find this, we need to calculate the cumulative distribution function (CDF) at -0.95. The CDF of a standard normal distribution at a point x is given by the integral from negative infinity to x of the probability density function (PDF).
Step 3 ：The PDF of a standard normal distribution is a complex function involving exponentials and square roots, but we can calculate the CDF directly.
Step 4 ：By calculating, we find that \(P(z<-0.95)\) is approximately 0.171.
Step 5 ：\(\boxed{\text{Final Answer: The probability that a value from a standard normal distribution is less than -0.95 is approximately 0.171.}}\)
