Americans receive an average of 18 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N 18 ✓7 b. If an American is randomly chosen, find the probability that this American will receive no more than 21 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year. d. 90% of all Americans receive at most how many Christmas cards? (Please enter a whole number) Hint: Hint Textbook Pages W Submit Question
Americans receive an average of 18 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N 18 ✓7 b. If an American is randomly chosen, find the probability that this American will receive no more than 21 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year. d. 90% of all Americans receive at most how many Christmas cards? (Please enter a whole number) Hint: Hint Textbook Pages W Submit Question
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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I need help with b, c, d
![### Understanding the Distribution of Christmas Cards Received by Americans
Americans receive an average of 18 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let \( X \) be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.
#### a. Distribution of \( X \)
The distribution of \( X \) can be expressed as:
\[ X \sim N(18, 7) \]
#### b. Probability of Receiving No More Than 21 Christmas Cards
If an American is randomly chosen, find the probability that this American will receive no more than 21 Christmas cards this year.
\[ P(X \leq 21) = \]
#### c. Probability of Receiving Between 21 and 26 Christmas Cards
If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year.
\[ P(21 \leq X \leq 26) = \]
#### d. Christmas Cards Received by 90% of Americans
Determine how many Christmas cards 90% of all Americans receive at most. (Please enter a whole number)
\[ 90\% \text{ of Americans receive at most } \_\_\_\_ \text{ Christmas cards} \]
#### Hint
For additional help, refer to:
- [Hint](#)
- [Textbook Pages](#)
After completing the calculations, submit your answers by clicking the "Submit Question" button.
### Explanation of Graphs or Diagrams
This section does not include any graphs or diagrams. If there were any, this part would provide a detailed explanation.
---
This webpage engages users in statistical exercises involving the normal distribution of Christmas cards received by Americans.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba867a91-7946-4dc8-8b92-57b0d80fa10e%2F42413bed-3287-49b0-9f64-d25beb5157c3%2F32h169_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding the Distribution of Christmas Cards Received by Americans
Americans receive an average of 18 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let \( X \) be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.
#### a. Distribution of \( X \)
The distribution of \( X \) can be expressed as:
\[ X \sim N(18, 7) \]
#### b. Probability of Receiving No More Than 21 Christmas Cards
If an American is randomly chosen, find the probability that this American will receive no more than 21 Christmas cards this year.
\[ P(X \leq 21) = \]
#### c. Probability of Receiving Between 21 and 26 Christmas Cards
If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year.
\[ P(21 \leq X \leq 26) = \]
#### d. Christmas Cards Received by 90% of Americans
Determine how many Christmas cards 90% of all Americans receive at most. (Please enter a whole number)
\[ 90\% \text{ of Americans receive at most } \_\_\_\_ \text{ Christmas cards} \]
#### Hint
For additional help, refer to:
- [Hint](#)
- [Textbook Pages](#)
After completing the calculations, submit your answers by clicking the "Submit Question" button.
### Explanation of Graphs or Diagrams
This section does not include any graphs or diagrams. If there were any, this part would provide a detailed explanation.
---
This webpage engages users in statistical exercises involving the normal distribution of Christmas cards received by Americans.
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