The average THC content of marijuana sold on the street is 10%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X - N( b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.4. c. Find the 75th percentile for this distribution. %
The average THC content of marijuana sold on the street is 10%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X - N( b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.4. c. Find the 75th percentile for this distribution. %
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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![### Understanding THC Content Distribution in Marijuana
The problem involves understanding the distribution and properties of THC content in marijuana sold on the street.
#### Key Information:
- **Average THC Content:** 10%
- **Standard Deviation:** 2%
- **Distribution Type:** Normal
Let \( X \) represent the THC content of a randomly selected bag of marijuana.
### Questions:
#### a. Distribution of X
- **What is the distribution of \( X \)?**
\[
X \sim N(\mu, \sigma^2)
\]
Where \(\mu\) is the mean and \(\sigma^2\) is the variance.
#### b. Probability of THC Content Greater than 9.4%
- **How to find this probability:**
- Calculate the probability that a randomly selected bag of marijuana has a THC content greater than 9.4%.
#### c. 75th Percentile for this Distribution
- **Finding the 75th percentile:**
- Identify the THC content value below which 75% of the observations fall.
All answers should be rounded to four decimal places where possible.
This exercise helps in applying concepts of normal distribution, probability calculations, and understanding percentiles in a real-world context.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24fae4ed-b1b1-4171-bba8-4d29349ae5e5%2F950a8029-0396-44ad-bbaf-c9a68bd7a276%2Fowuyp69_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding THC Content Distribution in Marijuana
The problem involves understanding the distribution and properties of THC content in marijuana sold on the street.
#### Key Information:
- **Average THC Content:** 10%
- **Standard Deviation:** 2%
- **Distribution Type:** Normal
Let \( X \) represent the THC content of a randomly selected bag of marijuana.
### Questions:
#### a. Distribution of X
- **What is the distribution of \( X \)?**
\[
X \sim N(\mu, \sigma^2)
\]
Where \(\mu\) is the mean and \(\sigma^2\) is the variance.
#### b. Probability of THC Content Greater than 9.4%
- **How to find this probability:**
- Calculate the probability that a randomly selected bag of marijuana has a THC content greater than 9.4%.
#### c. 75th Percentile for this Distribution
- **Finding the 75th percentile:**
- Identify the THC content value below which 75% of the observations fall.
All answers should be rounded to four decimal places where possible.
This exercise helps in applying concepts of normal distribution, probability calculations, and understanding percentiles in a real-world context.
Expert Solution

Step 1: Determine the given information
The distribution of THC content is normal. The mean is 10% and the standard deviation is 2%.
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