Assume that adults have IQ scores that are normally distributedwith a mean of 10

Question

Assume that adults have IQ scores that are normally distributedwith a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQbetween 110 and 120. I have the answer which is below but I need help with thesolution. I will rate lifesaver, thanks 0.1596 tech 0.1613. Find the probability that a randomly selected adult has an IQbetween 110 and 120. I have the answer which is below but I need help with thesolution. I will rate lifesaver, thanks 0.1596 tech 0.1613. I have the answer which is below but I need help with thesolution. I will rate lifesaver, thanks 0.1596 tech 0.1613.

Explanation / Answer

Let X be IQ score. We know X is Normal with =100and =15. Let Z=(X-)/, the Z is normal with mean =0and =1. P(110<X<120)=P(10/15<Z<20/15)=P(2/3<Z<4/3)=P(Z<4/3)-P(Z<2/3)=.1613

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