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, x, is. (round to one decimal place 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, x, is. (round to one decimal place as needed.)

Answer

Explanation:

Step1: Find z - score

We know that the area to the left of (x) is (0.6). Using the standard normal distribution table (z - table), we find the z - score corresponding to an area of (0.6). The z - score (z) such that (P(Z<z)=0.6) is approximately (z = 0.25) (from the standard normal table).

Step2: Use z - score formula

The z - score formula is (z=\frac{x-\mu}{\sigma}), where (\mu = 100) (mean), (\sigma=15) (standard deviation), and we want to solve for (x). Rearranging the formula for (x) gives (x=\mu + z\sigma). Substitute (\mu = 100), (z = 0.25), and (\sigma = 15) into the formula: (x=100+0.25\times15).

Step3: Calculate x

First, calculate (0.25\times15 = 3.75). Then (x=100 + 3.75=103.75).

Answer:

103.8