SOLUTION: 1. Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 20 to 90. What is the probability that this experiment resu

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Question 684343: 1. Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 20 to 90. What is the probability that this experiment results in an outcome less than 30? (Points : 2)
Answer by stanbon(75887) (Show Source):
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Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 20 to 90. What is the probability that this experiment results in an outcome less than 30?
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Draw a picture of the distribution.
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You have a rectangle on the x-axis with base
running from 20 to 90.
So the base is 70
Therefore the height is 1/70
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Shade the area in the rectangle over the interval (20,30)
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Find the area of that shaded area:
base = 10
height = 1/70
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Area = P(20<= x <=30) = 10(1/70) = 1/7
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Cheers,
Stan H.
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