This Question: 1 pt This Test: 12 pts Quesion Help * Scores of an 1Q test have a

Question

This Question: 1 pt This Test: 12 pts Quesion Help * Scores of an 1Q test have a bell-shaped dstribution with a mean of 100 and a standard deviaton of 16. Use the empirical tule to detormine the (a) What percentage of people has an IQ score between 52 and 148 (b) What percentage of people has an IQ score less then 52 or greater than 148? (c) What percentage of people has an IQ score greaber than 132? (a )%(Type an meger or a domal } lb) % (Type an integer or deamal ) (c)% (Type an mteger or a deOmal

Explanation / Answer

a) P(52 < x < 148)

= P((52 - 100)/16 < z < (148 - 100)/16)

= P(-3 < z < 3)

= 99.7%

b) P(Less than 52 or greater than 148)

= 100% - 99.7%

= 0.3%

c) P(X > 132)

= P(z > (132 - 100)/16)

= P(z > 2)

= 2.5%

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