If IQ scores are normally distributed with a mean of

obrozenecy6

obrozenecy6

Answered question

2022-01-19

If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is the probability of a random person scoring over 110?

Answer & Explanation

Edward Patten

Edward Patten

Beginner2022-01-19Added 38 answers

P(X>110)=P(z>11010015)
Explanation:
P(X>110)=P(z>11010015)
Now, using a STANDARD NORMAL table:
P(z>0.6667)=0.2525
Samantha Brown

Samantha Brown

Beginner2022-01-20Added 35 answers

Solution:
Given that,
mean =μ=10
standard deviation =σ=15
P(x>110)=1-P(x<110)
=1P(xμσ<11010015)
=1-P(z<0.67)
=1-0.7486 Using standard normal table.
= 0.2514
Probability = 0.2514

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