Answer
The probability is 0.2912.
Work Step by Step
The probability is calculated as follows:
\[\begin{align}
& =P\left( X\ge 5 \right) \\
& =P\left( \frac{X-\mu }{\sigma }\ge \frac{5-\left( -1.0 \right)}{10.9} \right) \\
& =P\left( Z\ge 0.55 \right) \\
& =0.2912 \\
\end{align}\]
To obtain the z-score, Minitab is used to find the area. The steps to be followed are provided below:
Step 1: Go to the MINITAB worksheet.
Step 2: Select Graph and click Probability Distribution.
Step 3: Go to View Probability.
Step 4: Double click on graph and go to shaded area.
Step 5: Select X-value and go to right tail.
Step 6: Click OK.
The obtained distribution plot is as follows:
