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In: Statistics and Probability

IQ of a student population follows N100,15^2) If 100 students are randomly selected how many are...

IQ of a student population follows N100,15^2) If 100 students are randomly selected how many are expected to have an IQ over 115

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Expert Solution

Let X denote the random variable representing the IQ of the students.

Now, we are given that:

Now, the probability that a randomly selected student has an IQ over 115 is given by:

Now, if 100 students are randomly selected then the number of students expected to have an IQ over 115 is given by:
Expected number of students = 100*P(X>115)

= 100*0.158655

= 15.8655 [ANSWER]

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orchestra answered 2 years ago
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