IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 . Out of a randomly selected 1350 people from the population, how many of them would have an IQ less than 130, to the nearest whole number? Statistics Calculator Answer: Submit Answer attempt 1 out of 2

Step 1 ：We are given that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. We are asked to find out how many out of a randomly selected 1350 people would have an IQ less than 130.

Step 2 ：We can use the Z-score formula to find the probability of a score being less than a certain value. The Z-score is calculated as \((X - \mu) / \sigma\), where X is the value we are interested in, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step 3 ：Substituting the given values into the Z-score formula, we get a Z-score of 2.0.

Step 4 ：We can then use a Z-table to find the probability associated with that Z-score. The probability is approximately 0.9772.

Step 5 ：Finally, we multiply this probability by the total number of people to get the number of people with an IQ less than 130. This gives us approximately 1319 people.

Step 6 ：So, the number of people out of 1350 who would have an IQ less than 130, to the nearest whole number, is \(\boxed{1319}\).