Question

What is $P(\Sigma x>290)$ ?

Short answer

The value of$P(\Sigma x>290)=0.9772$.

Step-by-step solution

Given Information

An unknown distribution has a mean $12$ and a standard deviation of one. A sample size of $25$ is taken.

Explanation

Let's use Ti- 83 calculator to compute the probability.

For that, Click on $2^{nd}$. Then, DISTR, and scroll down to the normalcdf option. Enter the provided details. After this, click on enter button to get the result:

Hence, the value of $P(\mathrm{\Sigma }X>290)$is :

$=1-0.022750$

$=0.97725$