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)? 3. (1 – x²) 0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Question
Please answer this one. Thank you!
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)? *
3
(1- x²) 0 < xs 1
|
f(x) =
otherwise
Your answer
Transcribed Image Text: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)? * 3 (1- x²) 0 < xs 1 | f(x) = otherwise Your answer
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