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Old 4 May 2009, 6:46 PM   #1 (permalink)
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MATH1015 Assignment 1

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The distribution for scores of a particular IQ test for adults is approximately normal
with mean 100 and standard deviation 15. Show that for a randomly selected adult, the probability of IQ less than 106 is 0.6554. For 12 randomly selected adults, what is the probability that at least 5 will have IQ's less than 106?

I'm having trouble with the part in bold. Any help would be appreciated.
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Old 4 May 2009, 10:11 PM   #2 (permalink)
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Re: MATH1015 Assignment 1

You should use the normal approximation formula for the first bit and use binomial for the second bit. It should be a piece of cake from there.

Remember, at least 5 people having IQ's less than 106 is the same as having at most 7 with IQ's above 106. Use the second statement in the binomial formula.

Let me know if you have any further problems as im tutoring someone who has the same assignment
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