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A set of 1400 scores is normally distributed with a mean = 84 and standard deviation...

A set of 1400 scores is normally distributed with a mean = 84 and standard deviation = 6.

How many students scored higher than 84?  

How many students scored between 78 and 90?  

How many students scored between 72 and 96?  

How many students scored between 84 and 90?

How many students scored lower than 78?

How many students scored lower than 90?

Math   Statistics-And-Probability   
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Answer #1

To find students scored higher than 84, first we will find

As distribution is normal we can convert x to z

So students scored higher than 84 is 0.5*1400=700

Now

So answer is 0.6827*1400=955.78=956

So answer is 0.9545*1400=1336.3=1336

So answer is 0.3413*1400=477.82=478

So answer is 0.1587*1400=222.18=222

So answer is 0.8413*1400=1177.82=1178

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