b. If you use a battery-powered alarm clock and a smartphone alarm clock, what is the probability that they both fail? What is the probability that both of them do not fail?
b. If you use a battery-powered alarm clock and a smartphone alarm clock, what is the probability that they both fail? What is the probability that both of them do not fail?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Only answer 26B.
Transcribed Image Text:26. ALARM CLOCK LIFE HACK Each of us must sometimes wake up early
for something really important, such as a final exam, job interview, or an early
flight. (Professional golfer Jim Furyk was disqualified from a tournament
when his cellphone lost power and he overslept.) Assume that a battery-
powered alarm clock has a 0.005 probability of failure, a smartphone alarm
clock has a 0.052 probability of failure, and an electric alarm clock has a 0.001
probability of failure.
a. What is the probability that your single battery-powered alarm clock
works successfully when you need it?
b. If you use a battery-powered alarm clock and a smartphone alarm
clock, what is the probability that they both fail? What is the
probability that both of them do not fail?
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