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IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose...

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability that the person has an IQ less than 110. Include a sketch of the graph and shade the area to be determined.

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Expert Solution

Solution :

Given that ,

mean = = 100

standard deviation = = 15

P(x < 110) = P[(x - ) / < (110 - 100) / 15]

= P(z < 0.6667)

= 0.7475

Probability = 0.7475

orchestra answered 3 years ago
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