The distribution of the amount of gravel (in tons) sold by a particular construction supply company in a given week is a continuous random variable X with probability density function as shown. (a) How do you use this to find the probability that X is less than .25? (b) What about the probability that X is greater than .75? (c) What aboutP(.25 < X < .75)?
The distribution of the amount of gravel (in tons) sold by a particular construction supply company in a given week is a continuous random variable X with probability density function as shown. (a) How do you use this to find the probability that X is less than .25? (b) What about the probability that X is greater than .75? (c) What aboutP(.25 < X < .75)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The distribution of the amount of gravel (in tons) sold by a particular construction supply company in a given week is a continuous random variable X with probability density function as shown. (a) How do you use this to find the probability that X is less than .25? (b) What about the probability that X is greater than .75? (c) What aboutP(.25 < X < .75)?
Transcribed Image Text:3
(1 – x²) 0 < x<1
0 < x< 1
f(x) =
otherwise
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