IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. O Part (a) Give the distribution of X. X- N 100 225 O Part (b) Find the probability that the person has an IQ greater than 125. Write the probability statement. What is the probability? (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Please label each part

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X =
IQ of an individual.
Part (a)
Give the distribution of X.
X - N
|× )
100
225
E Part (b)
Find the probability that the person has an IQ greater than 125.
Write the probability statement.
P(
What is the probability? (Round your answer to four decimal places.)
Transcribed Image Text:IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. Part (a) Give the distribution of X. X - N |× ) 100 225 E Part (b) Find the probability that the person has an IQ greater than 125. Write the probability statement. P( What is the probability? (Round your answer to four decimal places.)
O Part (c)
Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization.
Write the probability statement.
P(X > x) =
What is the minimum IQ? (Round your answer to the nearest whole number.)
X =
Transcribed Image Text:O Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = What is the minimum IQ? (Round your answer to the nearest whole number.) X =
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