''8.Victor works at the local Burgerville. He samples 200 customers and find that 120 use a credit card and the rest use cash. In addition, 50 customers get milkshakes. Of those, 30 got milkshakes and used a credit card.

What is the probability that a randomly sampled person either uses a credit card or does NOT get a milkshake? Round your answer to two decimal places.

Your Answer:

Question 9(2 points)

Victor works at the local Burgerville. He samples 200 customers and find that 120 use a credit card and the rest use cash. In addition, 50 customers get milkshakes. Of those, 30 got milkshakes and used a credit card.

The events of getting a milkshake and using a credit card are INDEPENDENT. Using mathematics, explain how.

Question 10(3 points)

There is a 25% chance that someone orders a milkshake at Burgerville. If someone orders a milkshake, there is a 30% chance that they also order food. If someone does not order a milkshake, there is 90% chance that they order food.

Draw a tree for the given scenario.

Question 11(2 points)

There is a 25% chance that someone orders a milkshake at Burgerville. If someone orders a milkshake, there is a 30% chance that they also order food. If someone does not order a milkshake, there is 90% chance that they order food.

What is the probability that someone orders food from Burgerville using the above numbers? Round your final answer to two decimal places. As always, show/explain your answers.

Your Answer:

Question 12(2 points)

There is a 25% chance that someone orders a milkshake at Burgerville. If someone orders a milkshake, there is a 30% chance that they also order food. If someone does not order a milkshake, there is 90% chance that they order food.

Suppose that someone orders food. What is the probability that they also ordered a milkshake? Round your final answer to two decimal places. As always, show/explain your answers.

Your Answer:

Question 13(2 points)

When Victor's friend Fiona goes to Burgerville, 30% of the time she only gets a small vanilla shake ($2.99), 50% of the time she only gets a large vanilla shake ($3.49), and the rest of the time she doesn't get anything.

Calculate the average amount that Fiona spends at Burgerville. Round your final answer to three decimals and show work.

Your Answer:

Question 14(2 points)

When Victor's friend Fiona goes to Burgerville, 30% of the time she only gets a small vanilla shake ($2.99), 50% of the time she only gets a large vanilla shake ($3.49), and the rest of the time she doesn't get anything.

Calculate the standard deviation for the amount that Fiona spends at Burgerville. Round your final answer to three decimals and show work.

Your Answer:

Question 15(2 points)

The cost to run a snack stand has an average of $4,000 a month with a standard deviation of $1,200 a month. Due to changes in shipping costs, the costs are expected to double AND an additional flat fee of $50 will be adding each month. Calculate the new standard deviation accounting for these changes.

Show work. Round your final answer to at least two decimal places.

Your Answer:

Question 16(2 points)

Victor records how much the last six customers at Burgerville spent in US dollars. His data is as follows: {6, 4, 10, 22, 3, 5, 6, 15}

Calculate the five-number summary for the data set.

question 17.

Victor records how much the last six customers at Burgerville spent in US dollars. His data is as follows: {6, 4, 10, 22, 3, 5, 6, 15}

Create box-plot for the data set.

Question 18(2 points)

Victor records how much the last six customers at Burgerville spent in US dollars. His data is as follows: {6, 4, 10, 22, 3, 5, 6, 15}

Determine if x=$22 was an outlier.

Question 19(1 point)

Victor records how much the last six customers at Burgerville spent in US dollars. His data is as follows: {6, 4, 10, 22, 3, 5, 6, 15}

Calculate the average for the sample.

Your Answer:

Question 20(2 points)

Victor records how much the last six customers at Burgerville spent in US dollars. His data is as follows: {6, 4, 10, 22, 3, 5, 6, 15}

Calculate the standard deviation for the sample. Round to three decimal places and show work.

Your Answer:

Question 21(2 points)

Victor records how much the last six customers at Burgerville spent in US dollars. His data is as follows: {6, 4, 10, 22, 3, 5, 6, 15}

Determine if x=$22 is an unusual amount to spend on Burgerville based off the dataset.

Question 22(2 points)

Sketch a bimodal, left-skewed histogram with an outlier.