Ask a New Question
Menu

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

Chocolate cream filled: Number purchased=5.00 , Probability= , Cumulative Probability=
Strawberry: Number purchased=1.00 , Probability= , Cumulative Probability=
Kale frosted: Number purchased=5.00 , Probability= , Cumulative Probability=
Blueberry: Number purchased=3.00 , Probability= , Cumulative Probability=
Cream filled surprise: Number purchased=1.00 , Probability= , Cumulative Probability=

1 answer

To calculate the cumulative probability of selling Chocolate cream filled and strawberry donuts, we need to first understand how cumulative probability is calculated. Cumulative probability for a specific item is the sum of the probabilities of that item and all items before it in the ordered sequence.

Let's assume the following probabilities based on the number purchased, where the total number of purchases is the sum of all donuts sold. We can calculate the probabilities for each flavor based on the number purchased.

  1. Calculate the total number of donuts sold:
  • Chocolate cream filled: 5
  • Strawberry: 1
  • Kale frosted: 5
  • Blueberry: 3
  • Cream filled surprise: 1

Total = 5 + 1 + 5 + 3 + 1 = 15

  1. Now we can calculate the probability for each type of donut:

  • Probability of Chocolate cream filled = Number purchased (Chocolate cream filled) / Total = 5 / 15 = 1/3 ≈ 0.33

  • Probability of Strawberry = Number purchased (Strawberry) / Total = 1 / 15 ≈ 0.07

  • Probability of Kale frosted = Number purchased (Kale frosted) / Total = 5 / 15 = 1/3 ≈ 0.33

  • Probability of Blueberry = Number purchased (Blueberry) / Total = 3 / 15 = 1/5 = 0.20

  • Probability of Cream filled surprise = Number purchased (Cream filled surprise) / Total = 1 / 15 ≈ 0.07

  1. Now we can calculate the cumulative probability for each flavor:

  • Cumulative Probability of Chocolate cream filled = Probability of Chocolate cream filled = 1/3 ≈ 0.33

  • Cumulative Probability of Strawberry = Probability of Chocolate cream filled + Probability of Strawberry = 0.33 + 0.07 = 0.40

  • Cumulative Probability of Kale frosted = Cumulative Probability of Strawberry + Probability of Kale frosted = 0.40 + 1/3 ≈ 0.73

  • Cumulative Probability of Blueberry = Cumulative probability of Kale frosted + Probability of Blueberry = 0.73 + 0.20 = 0.93

  • Cumulative Probability of Cream filled surprise = Cumulative Probability of Blueberry + Probability of Cream filled surprise = 0.93 + 0.07 ≈ 1.00

  1. Finally, to find the cumulative probability of selling both Chocolate cream filled and Strawberry donuts, we add their individual probabilities:

Cumulative Probability (Chocolate cream filled + Strawberry) = Cumulative Probability of Chocolate cream filled + Probability of Strawberry = 0.33 + 0.07 = 0.40

Rounding to 0 decimal places:

Cumulative Probability = 0.40 rounded to 0 decimal places is 0.