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

We know that the area to the right of the value (x) is (0.3204). So the area to the left of (x) is (A = 1 - 0.3204=0.6796). Looking up this area in the standard - normal distribution table (z - table), the corresponding z - score (z) is approximately (0.47).

Step2: Use the z - score formula

The z - score formula is (z=\frac{x-\mu}{\sigma}), where (\mu = 100) (mean), (\sigma = 15) (standard deviation), and (z = 0.47). We want to solve for (x). Rearranging the formula gives (x=\mu+z\sigma). Substitute (\mu = 100), (z = 0.47), and (\sigma = 15) into the formula: (x=100 + 0.47\times15).

Step3: Calculate the value of (x)

First, calculate (0.47\times15 = 7.05). Then (x=100 + 7.05=107.05).

Answer:

107