Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-NO b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes. c. Find the 85th percentile for the commute time of LA workers. minutes

MATLAB: An Introduction with Applications
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**Problem Statement:**

Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible.

**Questions:**

a. What is the distribution of X?  
\( X \sim N( \, \Box \, , \, \Box \, ) \)

b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes.  
\( \Box \)

c. Find the 85th percentile for the commute time of LA workers.  
\( \Box \) minutes

**Note:** The question involves calculating probabilities and percentiles for a normally distributed variable using the given mean and standard deviation.
Transcribed Image Text:**Problem Statement:** Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. **Questions:** a. What is the distribution of X? \( X \sim N( \, \Box \, , \, \Box \, ) \) b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes. \( \Box \) c. Find the 85th percentile for the commute time of LA workers. \( \Box \) minutes **Note:** The question involves calculating probabilities and percentiles for a normally distributed variable using the given mean and standard deviation.
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μ=33,σ=15

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