find the indicated iq score. the graph to the right depicts iq scores of adults, and those scores are…

find the indicated iq score. the graph to the right depicts iq scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. the indicated iq score is (round to the nearest whole number as needed.)

find the indicated iq score. the graph to the right depicts iq scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. the indicated iq score is (round to the nearest whole number as needed.)

Answer

Explanation:

Step1: Find the z - score

Since the area to the right of (x) is (0.0912), the area to the left of (x) is (1 - 0.0912=0.9088). Using the standard normal distribution table (or a calculator with a normal - distribution function), the (z) - score corresponding to an area of (0.9088) is (z = 1.33).

Step2: Use the z - score formula

The z - score formula is (z=\frac{x-\mu}{\sigma}), where (\mu = 100), (\sigma = 15), and (z = 1.33). We want to solve for (x). Rearranging the formula gives (x=\mu+z\sigma). Substitute the values: (x = 100+1.33\times15). Calculate (1.33\times15 = 19.95). Then (x=100 + 19.95=119.95).

Answer:

(120)