The area under a normal curve is 1.

The curve of a normal distribution extends indefinitely at the tails

The normal distribution is unimodal.

The normal curve is symmetric about its mean.

 $z=\frac{X-\mu}{\sigma}$ 

 In a given normal distribution the sample mean is 70 and the sample standard deviation is 5. Find the corresponding standard score of 65 using the formula above.

 $z=\frac{X-\mu}{\sigma}$ 

 In a given normal distribution the sample mean is 70 and the sample standard deviation is 5. Find the corresponding standard score of 85 using the formula above.

 $z=\frac{X-\mu}{\sigma}$ 

 In a given normal distribution the sample mean is 70 and the sample standard deviation is 5. Find the corresponding standard score of 69 using the formula above.

 $z=\frac{X-\mu}{\sigma}$ 

 In a given normal distribution the sample mean is 70 and the sample standard deviation is 5. Find the corresponding standard score of 80 using the formula above.

Determine the standard deviation of the normal distribution curve above.