Question

X is a bell-shaped random variable with population mean 9 and population variance 4. The probability...

X is a bell-shaped random variable with population mean 9 and population variance 4. The
probability that X lies between 7 and 11 is closest or equal to:

0.6626

0.454

0.1901

0.911

Please provide an explanation as well if possible!

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Here it is given that distribution is normal with mean=9 and standard deviation=2

So we need to find

As distribution is normal we can convert x to z

Hence answer here is 0.6626

We have find P(0<z<1) using below table

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