The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 59 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions a. What is the distribution of X? X ~ [ U v ( 46 59 Please show the following answers to 4 decimal places. b. What is the probability that the class is exactly 51 minutes long? c. What is the probability that the class is less than 51 minutes long?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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Just b and c

The lengths of your statistics class has a continuous
uniform distribution between 46 minutes and 59
minutes. Let X be the length of a class in minutes. If
one section is randomly selected, answer the
following questions
a. What is the distribution of X? X ~ [ U v (
46
59
Please show the following answers to 4
decimal places.
b. What is the probability that the class is exactly
51 minutes long?
c. What is the probability that the class is less
than 51 minutes long?
d. What is the probability that the class is
between 47 minutes and 57 minutes long?
0.7692
e. What is the probability that the class is less
than 47 minutes or more than 57 minutes long?
0.2308
Transcribed Image Text:The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 59 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions a. What is the distribution of X? X ~ [ U v ( 46 59 Please show the following answers to 4 decimal places. b. What is the probability that the class is exactly 51 minutes long? c. What is the probability that the class is less than 51 minutes long? d. What is the probability that the class is between 47 minutes and 57 minutes long? 0.7692 e. What is the probability that the class is less than 47 minutes or more than 57 minutes long? 0.2308
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