Normal Distribution CFU

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The empirical rule states that for a normal distribution x% of data falls within 1 standard deviation of the mean, y% of data falls within 2 standard deviations of the mean, and z% of data falls within 3 standards deviation of the mean. What are x, y, and z?

x=75, y=85, z=95

x=75, y=95, z=99

x=68, y=90, z=99

x=68, y=95, z=99.7

For a normal distribution in which the mean is 22 and the standard deviation is 3, find z-score related to the value 27 in this distribution.

z=1.67

z=-1.67

z=0.56

z=2.89

X~N(75, 36)
Find the z-score when X = 62.

z=-0.36

z=0.36

z=2.17

z=-2.17

For a normal distribution, find P(Z<-1.709).

z=0.0437

z=0.9563

z=-0.0437

z=-0.9563

For a normal distribution, find P(Z>0.891).

For a normal distribution, find b when P(Z < b) = 0.9768.

For a normal distribution, find t when P(Z>t)=0.4641.

For a normal distribution, the z-score is realted to a probability. What does this probability tell us/you?

You have answered 8 questions related to normal distributions. How many of these question do you believe you answered correctly (numerical response, please)? In words, briefly state your understanding of the material covered in this check for understanding.