Question

Assume the random variable x is normally distributed with mean u = 90 and standard deviation o=5. Find the indicated probability.
P(X<80) =
(Round to four decimal places as needed.)

Answer 1

Given:

Let the random variable x is normally distributed with mean $\mu=90$ and $\sigma=5$

We need to determine the probability of $P(X$

Probability of $P(X$:

The formula to determine the value of $P(X$ is given by

$Z=\frac{X-\mu}{\sigma}$

Thus, we have;

$P(X$

Simplifying, we get;

$P(X$

$P(X$

Using the normal distribution table, the value of -2 is given by 0.0228

$P(X$

Thus, the value of $P(X$ is 0.0228