Asked by Tom613
IQ scores in a certain population are normally distributed with a mean of 96 and a standard deviation of 12. (Give your answers correct to four decimal places.)
(a) Find the probability that a randomly selected person will have an IQ score between 83 and 99.
83-96/12=75 the looked at graph and got 0.2266-0.1841=.0425
(b) Find the probability that a randomly selected person will have an IQ score above 93.
93-96/12=85 =0.1977
(a) Find the probability that a randomly selected person will have an IQ score between 83 and 99.
83-96/12=75 the looked at graph and got 0.2266-0.1841=.0425
(b) Find the probability that a randomly selected person will have an IQ score above 93.
93-96/12=85 =0.1977
Answers
Answered by
Reiny
z-score for 83
= (83-96)/12 = -1.0833
z-score for 99
= (99-96)/12 = .25
so from your tables you should have
.5987 - .1393
= .4594
83-96/12=75 is incorrect, the order of operation is critical, and you need brackets like I used in my above solution
you have to calculate the numerator first
Now try the second part, I am sure you will get it correct this time, since you made the same error in finding the z-score.
= (83-96)/12 = -1.0833
z-score for 99
= (99-96)/12 = .25
so from your tables you should have
.5987 - .1393
= .4594
83-96/12=75 is incorrect, the order of operation is critical, and you need brackets like I used in my above solution
you have to calculate the numerator first
Now try the second part, I am sure you will get it correct this time, since you made the same error in finding the z-score.
Answered by
Tom613
So this is how I did the last one and it came up wrong, (93-96)/12=-.25 I looked it up on graph and it came up to 0.4013 but it says it is wrong, what did I do wrong..
Answered by
Reiny
The numbers you see on the graph or find in tables always gives you the probability of below the event.
It had asked for the IQ score to be above 93
So your value you have is correct for an IQ of below 93
so for ABOVE 93 it would be 1 - .4013 = .5987
It had asked for the IQ score to be above 93
So your value you have is correct for an IQ of below 93
so for ABOVE 93 it would be 1 - .4013 = .5987
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