Question 765201: A random number generator generates numbers between 0 and 10. Let random variable X be the number generated. Suppose X has a uniform distribution. What is the probability that the computer generates a number between 1 and 4? Note: you must find the probability density function of X.
Would really like to see how I need to work this problem. Thank you.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! The probability density function of X which has a uniform distribution on [0, 10] is defined in the following manner:
f(x;A,B) = 1 / (B-A); where x is > or = A and less than or = B, f(x;A,B) = 0 for all other values of x,
now f(x;A,B) = 1 / (10 -0) = 1/10 for each number generated in [0, 10]
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the probability that the computer generates a number between 1 and 4 is
(4 - 1) / (10 - 0) = 3/10 = .30
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