6. Normal Distribution and Continuous Random Variables

For a standard normal distribution, which of the following variables always equals $0$?

Which of the following best describes a key difference between the $t$-distribution and the standard normal ($z$) distribution?

For the standard normal distribution, which of the following is equivalent to $p(z\ge 1.4)$?

Which of the following is a characteristic of the standard normal distribution?

Which of the following does not describe the standard normal distribution?

Given the mean of a normal distribution is $\mu$ and the standard deviation is $\sigma$, what is the mean of the corresponding standard normal distribution after standardizing the variable?

For the standard normal distribution, what is the total area under the $N(0,1)$ normal curve?

For the standard normal distribution, what proportion of the distribution lies between $z=-1.75$ and $z=1.75$?

For the standard normal distribution, what is the total area under the normal curve?

For the standard normal probability distribution, what are the mean $\mu$ and standard deviation $\sigma$?

Find the area of the shaded region under the standard normal distribution.

Student's $t$ distributions are symmetric about a value of $t$. What is that value?

Find the area under the standard normal distribution to the left of a z-score of $1.21$.