Can you please explain in details 10 11 Find the indicated I

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

Solution

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