Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 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- N( 29 V 12 b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes. minutes c. Find the 90th percentile for the commute time of LA workers.
Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 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- N( 29 V 12 b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes. minutes c. Find the 90th percentile for the commute time of LA workers.
Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 minutes. Let X the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. Need help on questions B, and C.
Transcribed Image Text:Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally
distributed with a standard deviation of 12 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 N( 29
V 12
b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes.
minutes
c. Find the 90th percentile for the commute time of LA workers.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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