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3 years ago

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In a certain high school, 20% of the graduating seniors have chosen to attend The Ohio State University. If there are 265 senior

s in the graduating class, the number who will go to The Ohio State University is a binominal random variable. What is the standard deviation of the number of students who will attend Ohio State?

1 answer:

Andreyy893 years ago

7 0

Answer: 6.51

Step-by-step explanation:

For x be a binomial variable with parameters n (number of trials ) and p (probability of getting success in each event)

The standard deviation is given by :-

$\sigma=\sqrt{np(1-p)}$

As per given , we have

Number of seniors in the graduating class : n= 265

The probability the graduating seniors have chosen to attend The Ohio State University : p=20%= 0.20

Now, the standard deviation of the number of students who will attend Ohio State :-

$\sigma=\sqrt{265(0.20)(1-0.20)}\\\\=\sqrt{265(0.20)(0.80)}=6.51152823844\approx6.51$

Hence, the standard deviation of the number of students who will attend Ohio State = 6.51

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