Question

Assume that adults have iq scores that are normally distributed with a mean of mu = 105 and a standard deviation sigma = 15. find the probability that a randomly selected adult has an iq between 85 and 125 and type an integer or decimal rounded to four decimal places.

Answer 1

To find the probability that a randomly selected adult has an IQ between 85 and 125, we need to calculate the area under the normal distribution curve between these two IQ values.

Step-by-step explanation:

To find the probability that a randomly selected adult has an IQ between 85 and 125, we need to calculate the area under the normal distribution curve between these two IQ values.

We can standardize the IQ values using the z-score formula: z = (x - mu) / sigma, where x is the IQ value, mu is the mean, and sigma is the standard deviation.

Once we have the z-scores for both IQ values, we can look up the corresponding probabilities from the standard normal distribution table or use a calculator to find the area under the curve between these z-scores.

The probability that a randomly selected adult has an IQ between 85 and 125 is approximately 0.8262.