Suppose we create a box model for the outcome of a game of darts. The player has a 1/4 chance of throwing a dart in the inner ring, and a 3/4 chance of the dart landing in the outer ring. In our model, we have two unique tickets marked “inner” and “outer”. We put in 3 tickets marked “outer”. How many tickets do we put in that are marked “inner”? (Report a numerical value)

Suppose packages of margarine coming from an automated processor have weights that are normally distributed. For one day’s production, the weights are well approximated by a normal curve with mean 8.5 oz and a standard deviation of 0.5. Suppose two packages are selected at random from the day’s production. If the packages of margarine are labeled 8 oz, what is the probability that both of them weigh above the labeled amount? (Assume their weights are independent).   (Fill in the numerical value. Round your answer to two decimal places)

On a given morning, Squidward has a forty percent chance of practicing his clarinet, and a fifty percent chance of taking a long, hot bath. The two events are mutually exclusive.  (Report a numerical value) The chance of him practicing his clarinet and taking a bath is .   

The stem and leaf plot below shows the running times in a 400 m run for a random sample of 19 runners. 6|0 represents 60 seconds.  (Select the correct option)  

Using a normal approximation, what score would a student need to have a 95th percentile score on the SAT? The mean score was 1509, and the standard deviation of the scores is 312. (Select the correct option)

The following box-and-whisker plot shows class data from a math test.  (Fill in the blanks)  The percent of the class scored above 72 is, the median score on the test is,  the range of scores the middle 50% of the class had is,  the range of the data is    

Fresh Fall Bakery sells only donuts and cupcakes. Each donut or cupcake can come with a variety of toppings, and any topping can go on either a donut or cupcake. Their top-selling flavors are chocolate frosted with nuts, and strawberry frosted with sprinkles. The bakery summarized some information about their recent sales in the table below. If one sold item is chosen at random, what is the probability that it was a cupcake?    Event Number The item chosen is a donut 632  The donut chosen is chocolate frosted with nuts 396 The cupcake chosen is strawberry frosted with sprinkles 715 Total cupcakes and donuts bought 1500   (Report a numerical value. Round your answer to two decimal places)      

The range for the following data set is:  112, 156, 178, 190, 208, 259, 312, 323, 343, 356, 388, 400 (Report a numerical value)    

Suppose you want to weigh yourself. Before stepping on the scale, you pick up a 5 lb dumbbell and record your weight while holding it. You repeat this several times, and each time the measurement is a little different. What is the reason for these differences in the measurements? (Select the correct option)

Suppose packages of margarine coming from an automated processor have weights that are normally distributed. For one day’s production, the weights are well approximated by a normal curve with mean 8.5 oz and a standard deviation of 0.5. Suppose two packages are selected at random from the day’s production. If the packages of margarine are labeled 8 oz, what is the probability that both of them weigh above the labeled amount? (Assume their weights are independent).   (Report a numerical value. Round your answer to two decimal places)