The average THC content of marijuana sold on the street is 9.4%. 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. 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 7.9. Round to 4 decimal places. c. Find the 65th percentile for this distribution. Round to 2 decimal places.

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**Title: Analyzing the Distribution of THC Content in Marijuana**

**Introduction:**
The average THC content of marijuana sold on the street is 9.4%. Suppose the THC content is normally distributed with a standard deviation of 2.6%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street.

**Questions:**

a. **What is the distribution of X?**
- X ~ N(9.4, 2.6)

b. **Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 7.9.** 
- Round your answer to 4 decimal places.

c. **Find the 65th percentile for this distribution.**
- Round your answer to 2 decimal places.

**Instructions:**
Complete the blanks by calculating the required probabilities and percentiles based on the normal distribution.
Transcribed Image Text:**Title: Analyzing the Distribution of THC Content in Marijuana** **Introduction:** The average THC content of marijuana sold on the street is 9.4%. Suppose the THC content is normally distributed with a standard deviation of 2.6%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. **Questions:** a. **What is the distribution of X?** - X ~ N(9.4, 2.6) b. **Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 7.9.** - Round your answer to 4 decimal places. c. **Find the 65th percentile for this distribution.** - Round your answer to 2 decimal places. **Instructions:** Complete the blanks by calculating the required probabilities and percentiles based on the normal distribution.
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