rample 3: Alexis is selling girl scout cookies. She has kept track of the number of boxes of cookies at her customers have purchased over the last 2 years. She wants to use this data to help edict how many boxes of cookies a new customer might purchase. The table below summarizes exis' data, with the number of boxes that a customer might purchase along with the rresponding probability that they will purchase that number of boxes based on her previous les. Use this information to answer the following questions. Outcomes: 1 2 3 6. 8. X = x Probability: P(X = x) 0.21 0.16 0.32 0.11 0.08 0.05 0.04 0.02 0.01 a) Construct a probability histogram of the data in the table above and comment on the shape. ) What is the probability that a randomly selected customer will purchase 3 boxes of cookies? What is the probability that a randomly selected customer will purchase at least 4 boxes of cookies? What is the probability that a randomly selected customer will purchase anywhere from 2 to 5 boxes of cookies? What is the probability that a randomly selected customer will purchase no more than 3- boxes of cookies?
rample 3: Alexis is selling girl scout cookies. She has kept track of the number of boxes of cookies at her customers have purchased over the last 2 years. She wants to use this data to help edict how many boxes of cookies a new customer might purchase. The table below summarizes exis' data, with the number of boxes that a customer might purchase along with the rresponding probability that they will purchase that number of boxes based on her previous les. Use this information to answer the following questions. Outcomes: 1 2 3 6. 8. X = x Probability: P(X = x) 0.21 0.16 0.32 0.11 0.08 0.05 0.04 0.02 0.01 a) Construct a probability histogram of the data in the table above and comment on the shape. ) What is the probability that a randomly selected customer will purchase 3 boxes of cookies? What is the probability that a randomly selected customer will purchase at least 4 boxes of cookies? What is the probability that a randomly selected customer will purchase anywhere from 2 to 5 boxes of cookies? What is the probability that a randomly selected customer will purchase no more than 3- boxes of cookies?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Example 3: Probability Distribution of Cookie Purchases**
Alexis is selling girl scout cookies. She has kept track of the number of boxes of cookies that her customers have purchased over the last 2 years. She wants to use this data to help predict how many boxes of cookies a new customer might purchase. The table below summarizes Alexis’ data, with the number of boxes that a customer might purchase along with the corresponding probability that they will purchase that number of boxes based on her previous sales. Use this information to answer the following questions.
| Outcomes: | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|----------------------|------|------|------|------|------|------|------|------|------|
| Probability: P(X = x<sub>i</sub>) | 0.21 | 0.16 | 0.32 | 0.11 | 0.08 | 0.05 | 0.04 | 0.02 | 0.01 |
**Questions:**
a) Construct a probability histogram of the data in the table above and comment on the shape.
b) What is the probability that a randomly selected customer will purchase 3 boxes of cookies?
c) What is the probability that a randomly selected customer will purchase at least 4 boxes of cookies?
d) What is the probability that a randomly selected customer will purchase anywhere from 2 to 5 boxes of cookies?
e) What is the probability that a randomly selected customer will purchase no more than 3 boxes of cookies?
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