Can you please explain in details #10, 11 Find the indicated IQ score, a n d rou

Question

Can you please explain in details #10, 11

Find the indicated IQ score, a n d round to the nearest whole number. The graphs depict IQ scores o f adults, a n d those scores are normally distributed with a mean o f 100 and a standard deviation o f 15 (as on the Wechsler test). assume that adults have IQ scores that a re normally distributed with a mean o f 100 and a standard deviation o f 15 (as on the Wechsler test). for a randomly selected adult, find the indicated probability or IQ score. Round IQ scores t0 the nearest whole number. Find the probability of an IQ less than 85

Explanation / Answer

10. Let IQ=x

now, z = (x-mean)/sd

and for p=0.1587 , z = -1

now, -1=(x-100)/15

x= -1*15+100 = 85

11. similary as we did in last ques

for p = 0.9798 , z = 2.05

so x = 100 -2.05*15 = 70

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