The Wechsler IQ test has a mean of 100 and a standard deviation of 15. Assume th
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Question
The Wechsler IQ test has a mean of 100 and a standard deviation of 15. Assume that IQ scores are normally distributed. Compute the following. Be sure to label your answers with the correct matematical notation and provide a one sentence explanation of your answer.
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Find the probability that a randomly selected adult has an IQ less than 115 Notation Answer Find the probability that a randomly selected adult has an IQ greater than 131.5 (the requirement for membership in Mensa) Notation Answer Find the probability that a randomly selected adult has an IQ between 90 and 110. (the normal range) Notation Answer Find P20, which is the lQ score separating the bottom 20% from the top 80%. Notation Answer Find the lascore separting the top 15% from the others. Notation AnswerExplanation / Answer
P(X<115) =norm.dist(115,100,15,true)=0.8413
b)P(X>131.5) =1-norm.dist(131.5,100,15,true)
c)P(90<X<110) =norm.dist(110,100,15,true)-norm.dist(90,100,15,true)
d)=norm.inv(0.2,100,15)
e)=norm.inv(0.85,100,15)
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