Question

Question 13

A study was conducted at Smoothie King to investigate consumer buying habits. The following table gives data on the type of
smoothie that was purchased by customers.
Get Fit Blend
Energized Blend
Small
Add your answer
59
I
66
Medium
27
30
Find the probability that a randomly selected customer orders a large. Round to two decimal places.
Large
27
10 Points
17

Answer 1

The probability that a randomly selected customer orders a large smoothie is approximately
`\(0.55\)`, rounded to two decimal places.

To find the probability that a randomly selected customer orders a large smoothie, you need to determine the total number of customers who ordered a large smoothie and the total number of customers overall.

Given the data:

Get Fit Blend Energized Blend

Small 17 27

Medium 27 30

Large 59 66

Now, let's calculate the total number of customers for each blend and the overall total:

- Total for Get Fit Blend: 17 + 27 + 59 = 103

- Total for Energized Blend: 27 + 30 + 66 = 123

Now, calculate the overall total:

- Overall Total: 103 + 123 = 226

Now, the probability of selecting a large smoothie is given by:

`\[ \text{Probability} = \frac{\text{Number of Larges}}{\text{Overall Total}} \]`

`\[ \text{Probability} = (59 + 66)/(226) \]`

`\[ \text{Probability} = (125)/(226) \]`

Now, round the probability to two decimal places:

`\[ \text{Probability} \approx 0.55 \]`

So, the probability that a randomly selected customer orders a large smoothie is approximately
`\(0.55\)`, rounded to two decimal places.