Problem-3 Let T be the time needed to complete a job at a certain factory. By using the historical data, we know that ? for 0 4 a. Find the probability that the job is completed in less than one hour, i.e., find P(T < 1). b. Find the probability that the job needs more than 2 hours. c. Find the probability that 1

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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Problem-3
Let T be the time needed to complete a job at a certain factory. By using the historical data, we
know that
P(T < t) = {i
s for 0<t<4
t > 4
1
for
a. Find the probability that the job is completed in less than one hour, i.e., find P(T < 1).
b. Find the probability that the job needs more than 2 hours.
c. Find the probability that 1 <T< 3.
Transcribed Image Text:Problem-3 Let T be the time needed to complete a job at a certain factory. By using the historical data, we know that P(T < t) = {i s for 0<t<4 t > 4 1 for a. Find the probability that the job is completed in less than one hour, i.e., find P(T < 1). b. Find the probability that the job needs more than 2 hours. c. Find the probability that 1 <T< 3.
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