Question

Consider a normal distribution with mean 35 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 35? (Round your answer to two decimal places.)

Answer 1

Given the Mean:

`\mu=35`

And the Standard Deviation:

`\sigma=4`

You need to find:

`P(X>35)`

You can find the z-statistics using this formula:

`z=(X-\mu)/(\sigma)`

In this case, you need to set up that:

`X=35`

Then, substituting values and evaluating, you get:

`z=(35-35)/(4)=0`

Therefore, you need to find:

`P(z>0)`

Using the Normal Distribution Table for that z-statistic, you get:

`P(z>0)=0.50`

Hence, the answer is:

`P(X>35)=0.50`