SOLUTION: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.
If P(x > c) = 0.364 , find c.
c =
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-> SOLUTION: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.
If P(x > c) = 0.364 , find c.
c =
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Question 1189672: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.
If P(x > c) = 0.364 , find c.
c =
minutes
(Report answer accurate to 4 decimal places.) Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52756) (Show Source):
You can put this solution on YOUR website! .
The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.
If P(x > c) = 0.364 , find c.
~~~~~~~~~~~~
P(x > c) = = .
Equation
= 0.364
Solution
55.5 - c = 0.364 * 6.3
55.5 - c = 2.2932
55.5 - 2.2932 = c
c = 53.2068 minutes. ANSWER
Solved.
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Four decimal places precision MAKES NO SENSE in this problem.
Since the distribution is uniform, the value of c for which P(x>c)=0.364 is 1-0.364=0.636 of the distance from the lower bound of 49.2 to the upper bound of 55.5.
