4 Mensa is an organization whose members possess IQs in the

4. Mensa is an organization whose members possess IQ\'s in the top 2%. It is reasonable to assume IQ is normally distributed with mean 100 and standard deviation of 16. (a) Find the IQ needed to be a member of Mensa. (b) All students at a particular university have an IQover 120. If a random student from this university is selected, find the probability their IQ is above that needed to be accepted to Mensa. (c) Find the probability that a random persons IQ is above 120.

4. Mensa is an organization whose members possess IQ\'s in the top 2%. It is reasonable to assume IQ is normally distributed with mean 100 and standard deviation of 16.

(a) Find the IQ needed to be a member of Mensa.

Z value for top 2% =2.054

Required IQ = 100+2.054*16 =132.864

(b) All students at a particular university have an IQover 120. If a random student from this university is selected, find the probability their IQ is above that needed to be accepted to Mensa.

Z value =(132.864-120)/16 =0.804

P(z>0.804) =0.2107

Z value for 120, z= (120-100)/16=1.25

P(x(>120)= p(z>1.25) =0.1056

$4. Mensa is an organization whose members possess IQ\'s in the top 2%. It is reasonable to assume IQ is normally distributed with mean 100 and standard deviatio$

4 Mensa is an organization whose members possess IQs in the

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