The score of adults on an IQ test are approximately Normal with mean 100 and standart deviation 15. Alysha scores 135 on such a test. She scores highter than what percent of all adults? a. About 5% b. About 95% c. About 99%

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2020-11-12

The score of adults on an IQ test are approximately Normal with mean 100 and standart deviation 15. Alysha scores 135 on such a test. She scores highter than what percent of all adults? 
1. About 5% 
2. About 95% 
3. About 99%

Answer & Explanation

Anonym

Anonym

Skilled2020-11-13Added 108 answers

Let X be the random variable of IQ test. Then XN(100,152) 
which means that X10015N(0,1) 
We must identify P(X135) 
This is how we express how to obtain the common normal variable:P((X10015)13510015)=P((X10015)73) 
Let Ф denote the standard normal distribution, so ФФP((X10015)73)=Ф(73)Ф(2.33)0.9901 
Thus, (option (3)) is correct.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?