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frozen [14]
3 years ago
11

The IQs of 700 applicants to a certain college are approximately normally distributed with a mean of 115 and a standard deviatio

n of 11. If the college requires an IQ of at least 97, how many of these students will be rejected on this basis of IQ, regardless of their other qualificiations
Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer: 35

Step-by-step explanation:

Given : The IQs of 700 applicants to a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 11.

i.e. \mu=115  and \sigma= 11

Let x denotes the IQs of applicants to college.

If the college requires an IQ of at least 97, then, the probability that students have IQ less than 97:-

P(x [By using z-table]

Number of students will be rejected on this basis of IQ = Total students x Probability of students have IQ less than 97

= 700 x 0.0505 = 35.35 ≈ 35

Hence, about 35 students will be rejected on this basis of IQ, regardless of their other qualifications .

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