(a) If two dice are rolled, what is the probability that the sum of the upturned faces will equal 7? (b) If two balls are randomly selected from a bowl containing 6 white and 5 black balls, what is the probability that one of the drawn balls is white and the other is black?

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....
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4. (a) If two dice are rolled, what is the probability that the sum of the
upturned faces will equal 7?
(b) If two balls are randomly selected from a bowl containing 6 white
and 5 black balls, what is the probability that one of the drawn
balls is white and the other is black?
(c) A machine operates on a fuse with a lifetime that follows an expo-
nential distribution with mean ) hours. What is the probability
that the machine will function for at least twice as long as its
expected lifetime?
(d) A uniform random variable U is distributed on the interval (20, 30).
What is the probability that U exceeds 28, given that it exceeds
25?
Transcribed Image Text:4. (a) If two dice are rolled, what is the probability that the sum of the upturned faces will equal 7? (b) If two balls are randomly selected from a bowl containing 6 white and 5 black balls, what is the probability that one of the drawn balls is white and the other is black? (c) A machine operates on a fuse with a lifetime that follows an expo- nential distribution with mean ) hours. What is the probability that the machine will function for at least twice as long as its expected lifetime? (d) A uniform random variable U is distributed on the interval (20, 30). What is the probability that U exceeds 28, given that it exceeds 25?
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