Question

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

Short answer

The value of$P(\Sigma x=290)=0$.

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

$\Sigma x$ has a normal distribution which is a continuous distribution. Thus, the wanted probability is 0 :

role="math" localid="1648570823617" $P(\Sigma x=290)=0$.