Normal Distribution

Multiple Choice

The normal distribution is a discrete probability distribution.

• TRUE

• FALSE

Multiple Choice

The mean, median, and mode of a normal distribution are all equal.

• TRUE

• FALSE

Multiple Choice

In the normal curve, the highest point occurs at the standard deviation.

• TRUE

• FALSE

Multiple Choice

If the mean of the normal distribution is negative, then the standard deviation must also be negative.

• TRUE

• FALSE

Multiple Choice

If two normal curves have equal means but different standard deviations, then the curve with a smaller standard deviation is narrower and more peaked than the other curve.

• TRUE

• FALSE

Multiple Choice

The mean of the standard normal distribution is 0.

• TRUE

• FALSE

Multiple Choice

Following the empirical rule of normal distribution, 95% of the values lie in the interval 𝜇 ± 2σ.

• TRUE

• FALSE

Multiple Choice

For the standard normal distribution, P(Z < 0) = 0.5.

• TRUE

• FALSE

Fill in the Blanks

$P\left(Z<3.14\right)$  

Fill in the Blanks

$P\left(Z>0.82\right)$  

Fill in the Blanks

$P\left(0<Z<1.96\right)$  

Fill in the Blanks

$P\left(Z<-1.06\ or\ Z>3.10\right)$  

Fill in the Blanks

What is the corresponding z-score of the 10th percentile?