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)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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)? *
3
(1 – x²) 0 < x< 1
|
f(x)
otherwise
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 < x< 1 | f(x) otherwise
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