Question

What is P(Σx < 1,186)?

Short answer

The$\text{value probability that}P\left(\sum X<1186\right)\text{is approximately}15.86\%$

Step-by-step solution

Given Information

According to the provided details, the sample size of customers is 400 with a mean 3 and the standard deviation is$0.7.$

Explanation

To calculate the probability that $P(\Sigma X<1186)$, use the Tl-83 calculator. For this, click on $2^{\text{nd}}$, then DISTR, and then scroll down to the normal CDF option and enter the provided details. After this, click on ENTER button on the calculator to have the desired result. The screenshot is given below:

$\text{Therefore, the value probability that}P\left(\sum X<1186\right)\text{is approximately}15.86\%$