Variable Statistics Review

Let W be a random variable with $$\mu_W=15$$ and $$\sigma_W^2=64$$ . Which of the following is the variance of $$Z=\frac{W-\mu_W}{\sigma_W}$$ ?

If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket each month for five months, what is the probability that you will win at least one prize?

A die is loaded so that the number 6 comes up three times as often as any other number.  What, then, is the probability of rolling a 6?

When the majority of the data is to the right of the graph and there are outliers to the left, the graph is ​ (a)   . Therefore the mean is ​ (b)   the median.

When the majority of the data is to the left of the graph and there are outliers to the right, the graph is ​ (a)   . Therefore the mean is ​ (b)   the median.

Based on the Empirical Rule, make the following true:

​ (a)   of data is contained in one standard deviation from the mean.

​ (b)   of data is contained in two standard deviations below the mean.

​ (c)   of data is contained in three standard deviations above the mean.

The pth percentile is interpreted as the value that has p% of the data less than or equal to it. Put the following in percentile order:

Choose all correct answers: Measures the number of standard deviations a data value falls above or below the mean.

The elements of a 5-number summary start at the beginning of the ​​range which is the ​ (a)   . The next part is the IQR​ which starts with ​ (b)   , has a bar for the ​ (c)   and ends with ​ (d)   . Finally this ends with the ​ (e)   . Outliers are marked by asterisks or other dots.