Question

For a standard normal distribution, find:

P(-0.08 < z < 2.16)

Answer 1

Using a standard normal distribution, we know that the mean (μ) is 0 and the standard deviation (σ) is 1.

To find P(-0.08 < z < 2.16), we need to find the area under the curve between these two z-values.

Using a standard normal distribution table or a calculator, we can find the corresponding probabilities:

P(z < -0.08) = 0.4681
P(z < 2.16) = 0.9842

Therefore, P(-0.08 < z < 2.16) = P(z < 2.16) - P(z < -0.08) = 0.9842 - 0.4681 = 0.5161

So, the probability is 0.5161.