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%

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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