(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.) (c) What is the probability that the lecture continues beyond the hour for between 30 and 75 sec? (Round your answer to four decimal places.)
(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.) (c) What is the probability that the lecture continues beyond the hour for between 30 and 75 sec? (Round your answer to four decimal places.)
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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Transcribed Image Text:A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X = the time that elapses between the end of the
hour and the end of the lecture and suppose the pdf of X is as follows.
0≤x≤2
f(x) =
otherwise
(a) Find the value of k. (Enter your answer to three decimal places.)
Draw the corresponding density curve. [Hint: Total area under the graph of f(x) is 1.1
f(x)
f(x)
1.5
1.0
0.5
O
0.5
1.0
1.5
2.0
X
1.5
1.0
0.5
O
0.5
1.0
1.5
2.0
Transcribed Image Text:XO
19
0.5
O
f(x)
DETAILS
1.5
1.0
0.5
0.5
0.5
1.0
1.0
1.5
1.5
2.0
DEVORESTAT9 4.1.001
2.0
X
0.5
O
f(x)
1.5-
1.0
0.5
0.5
0.5
1.0
1.0
1.5
1.5
2.0
2.0
(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.)
X
(c) What is the probability that the lecture continues beyond the hour for between 30 and 75 sec? (Round your answer to four decimal places.)
(d) What is the probability that the lecture continues for at least 105 sec beyond the end of the hour? (Round your answer to four decimal places.)
ASK Y
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