Question

recall that σ represents the standard deviation. for a normal curve, as we have here, a point three standard deviations to the right of center will be located at the point where the curve is nearly touching the horizontal axis. observing the graph of the normal curve we see that the point three standard deviations to the right of center is located at x = 94. therefore, x = 91 is two standard deviations to the right of center and x = is one standard deviation to the right of center. we previously determined that μ = so, μ + σ = submit skip (you cannot come back)

Explanation:

Step1: Find the mean ($\mu$)

From the graph, the center of the normal curve (mean) is at $x = 85$. So, $\mu=85$.

Step2: Find the standard deviation ($\sigma$)

We know that $\mu + 3\sigma=94$ (since three - standard - deviations to the right of the center is at $x = 94$). Substitute $\mu = 85$ into the equation:

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Step3: Find the value of $x$ for one - standard - deviation to the right of the center

We use the formula $x=\mu+\sigma$. Substitute $\mu = 85$ and $\sigma = 3$:
$x=85 + 3=88$

Step4: Verify $\mu+\sigma$

Since $\mu = 85$ and $\sigma=3$, then $\mu+\sigma=85 + 3=88$

Answer:

The first blank is $88$, the second blank is $85$, and the third blank is $88$.