The family of normal distributions are often a good approximation for many real-world random phenomena. 

The table below shows the joint probability mass function of variables X and Y.  If you were to fill in the following marginal pmf with respect to X, what would the missing values V0, V1, and V2 be, respectively? 

The deviation from the mean for a sample grows with n.

Relating to the Central Limit Theorem and sample sets that are approximately normal, the larger the value of n, the worse the approximation.

Given that 35 subjects tested positive out of a total of 100 subjects, what is the 95% CI for the proportion of subjects that have tested positive? Round to 2 decimal places.

A team of researchers randomly select 100 students each from the English Department, Math Department, and the Computer Science Department for a study on GPA. What type of sampling is this?

The CLT applies if n 30

Let’s say that New Glarus Brewing Company’s beers have an alcohol content with a normal distribution. Given a sample of 100 beers with a sample mean alcohol content of 5.01% ABV, a type 1 error of 0.8% was calculated. Is the following a correct interpretation of this type 1 error? When

The standard deviation of a random variable can be any real value. 

If the median of a data sample is smaller than the mean, the data is skewed positively.