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Based on the chart: What is the probability, then use the probability to find the cumulative probability of the selling Chocolate cream filled and strawberry donuts? Round to 0 decimal places.

Chocolate cream filled: Number purchased=2.00 , Probability= , Cumulative Probability=
Strawberry: Number purchased=1.00 , Probability= , Cumulative Probability=
Kale frosted: Number purchased=10.00 , Probability= , Cumulative Probability=
Blueberry: Number purchased=5.00 , Probability= , Cumulative Probability=
Cream filled surprise: Number purchased=10.00 , Probability= , Cumulative Probability=

1 answer

To calculate the probability and cumulative probability for each type of donut, we first need to determine the total number of donuts purchased.

Let's calculate the total number of donuts purchased:

  • Chocolate cream filled: 2
  • Strawberry: 1
  • Kale frosted: 10
  • Blueberry: 5
  • Cream filled surprise: 10

Total number purchased = 2 + 1 + 10 + 5 + 10 = 28

Next, we can calculate the probability for each type of donut. The probability for each donut type is given by:

\[ \text{Probability} = \frac{\text{Number purchased}}{\text{Total number purchased}} \]

Now let's calculate the probability for each donut type:

  1. Chocolate cream filled: \[ \text{Probability} = \frac{2}{28} = \frac{1}{14} \approx 0.0714 \text{ (or rounded to 0.07)} \]

  2. Strawberry: \[ \text{Probability} = \frac{1}{28} \approx 0.0357 \text{ (or rounded to 0.04)} \]

  3. Kale frosted: \[ \text{Probability} = \frac{10}{28} \approx 0.3571 \text{ (or rounded to 0.36)} \]

  4. Blueberry: \[ \text{Probability} = \frac{5}{28} \approx 0.1786 \text{ (or rounded to 0.18)} \]

  5. Cream filled surprise: \[ \text{Probability} = \frac{10}{28} \approx 0.3571 \text{ (or rounded to 0.36)} \]

Now, let's calculate the cumulative probability for each type of donut. The cumulative probability for each donut type can be calculated by summing the probabilities of that donut type and all previous types:

  1. Chocolate cream filled:

    Cumulative Probability = Probability of chocolate = \(0.0714 \approx 0.07\) (rounded to 0 decimal places = 0)

  2. Strawberry:

    Cumulative Probability = Probability of chocolate + Probability of strawberry = \(0.0714 + 0.0357 \approx 0.1071\) (rounded to 0 decimal places = 0)

  3. Kale frosted:

    Cumulative Probability = Probability of chocolate + Probability of strawberry + Probability of kale = \(0.0714 + 0.0357 + 0.3571 \approx 0.4643\) (rounded to 0 decimal places = 0)

  4. Blueberry:

    Cumulative Probability = Probability of chocolate + Probability of strawberry + Probability of kale + Probability of blueberry = \(0.4643 + 0.1786 \approx 0.6429\) (rounded to 0 decimal places = 1)

  5. Cream filled surprise:

    Cumulative Probability = Probability of chocolate + Strawberry + Kale + Blueberry + Cream filled surprise = \(0.6429 + 0.3571 \approx 1\) (rounded to 0 decimal places = 1)

In summary, here are the results:

  • Chocolate cream filled: Probability ≈ 0.0714, Cumulative Probability = 0
  • Strawberry: Probability ≈ 0.0357, Cumulative Probability = 0
  • Kale frosted: Probability ≈ 0.3571, Cumulative Probability = 0
  • Blueberry: Probability ≈ 0.1786, Cumulative Probability = 1
  • Cream filled surprise: Probability ≈ 0.3571, Cumulative Probability = 1