Question

A normal distribution has mean and standard deviation . Find the indicated probability for a randomly selected x-value from the distribution P (x > +3)

Answer 1

Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$

For x > 3

$z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2$

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228