Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 58? Please do not round your answer.

Probability = 0.15%

Step-by-step explanation:

The provided information is:

Let X be the scores of the IQ scores that is normally distributed with mean   and standard deviation  

.

That is  

So, 58 is 3 standard deviation left to the mean.

As 99.7% of probability lies within the three standard deviation.

Thus,  above three standard deviation is:

Thus, the required probability is 0.15%

you already gave the answer

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)