It takes between 1 and 5 minutes to go from the 6th floor of the college to the cafeteria, depending on the wait times of the elevator and the number of people in the hallways. The time is uniformly distributed over the interval from 1 to 5 minutes. a. What are the values for a and b? a b b. What is the mean of this uniform distribution? (Round the final answer to 1 decimal place.) Mean c. What is the standard deviation? (Round the final answer to 4 decimal places.) Standard deviation d. Is the total area under the curve equal to 100? (Click to select) e. Find the probability of a value more than 2.6. (Round the final answer to 2 decimal places.) Probability f. Find the probability of a value between 2.9 and 3.7. (Round the final answer to 4 decimal places) Probability

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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It takes between 1 and 5 minutes to go from the 6th floor of the college to the cafeteria, depending on the wait times of the elevator
and the number of people in the hallways. The time is uniformly distributed over the interval from 1 to 5 minutes.
a. What are the values for a and b?
a
b
b. What is the mean of this uniform distribution? (Round the final answer to 1 decimal place.)
Mean
c. What is the standard deviation? (Round the final answer to 4 decimal places.)
Standard deviation
d. Is the total area under the curve equal to 100?
(Click to select)
e. Find the probability of a value more than 2.6. (Round the final answer to 2 decimal places.)
Probability
f. Find the probability of a value between 2.9 and 3.7. (Round the final answer to 4 decimal places)
Probability
Transcribed Image Text:It takes between 1 and 5 minutes to go from the 6th floor of the college to the cafeteria, depending on the wait times of the elevator and the number of people in the hallways. The time is uniformly distributed over the interval from 1 to 5 minutes. a. What are the values for a and b? a b b. What is the mean of this uniform distribution? (Round the final answer to 1 decimal place.) Mean c. What is the standard deviation? (Round the final answer to 4 decimal places.) Standard deviation d. Is the total area under the curve equal to 100? (Click to select) e. Find the probability of a value more than 2.6. (Round the final answer to 2 decimal places.) Probability f. Find the probability of a value between 2.9 and 3.7. (Round the final answer to 4 decimal places) Probability
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