Question

the graph of a normal curve is given. use the graph to identify the value of μ and σ. the value of μ is

Explanation:

Step1: Recall the property of the mean ($\mu$) in a normal curve

In a normal distribution curve, the mean ($\mu$) is the value at the center of the curve.
Looking at the given normal curve graph, the center is at \(x = 100\). So, \(\mu=100\).

Step2: Recall the property of the standard deviation ($\sigma$) in a normal curve

The standard deviation ($\sigma$) can be found by the distance from the mean ($\mu$) to the inflection point.
The inflection point is at \(x = 103\) (or \(x = 97\)). The distance from \(\mu = 100\) to \(x = 103\) (or \(x = 97\)) is \(103 - 100=3\) (or \(100 - 97 = 3\)). So, \(\sigma = 3\).

Answer:

The value of \(\mu\) is \(100\) and the value of \(\sigma\) is \(3\).