SOLUTION: Let x have a uniform distribution on the interval 0 to 10. Find the probability. P(3.7 < x < 7.2)

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Question 1206782: Let x have a uniform distribution on the interval 0 to 10. Find the probability.
P(3.7 < x < 7.2)
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x have a uniform distribution on the interval 0 to 10. Find the probability.
P(3.7 < x < 7.2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

This given interval under the consideration, from 3.7 to 7.2, is entirely inside
the base interval from 0 to 10.


Therefore, the probability under the problem's question is the length 
of the interval [3.7,7.2] related to the length of the base interval [0,10]

    P = %287.2-3.7%29%2F%2810-0%29 = 3.5%2F10 = 0.35 = 35%.    ANSWER


It is how the uniform distribution works.

Solved.