the end of the hour and always finishes his lectures within 2 min after the hour. Let X = the time that elap hour and the end of the lecture and suppose the pdf of X is as follows. 0≤x≤2 f(x) = = { 10x² 0 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.] f(x) f(x) 1.5 1.0 0.5 f(x) 0.5 1.0 1.5 2.0 X 1.5 1.0 0.5- f(x) 0.5 1.0 1.5 4 2.0 X
the end of the hour and always finishes his lectures within 2 min after the hour. Let X = the time that elap hour and the end of the lecture and suppose the pdf of X is as follows. 0≤x≤2 f(x) = = { 10x² 0 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.] f(x) f(x) 1.5 1.0 0.5 f(x) 0.5 1.0 1.5 2.0 X 1.5 1.0 0.5- f(x) 0.5 1.0 1.5 4 2.0 X
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
![Assign
эхс
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1.
X
DETAILS DEVORESTAT9 4.1.005.
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.
= {10/²
0≤x≤2
otherwise
(a) Find the value of k. (Enter your answer to three decimal places.)
f(x) =
Draw the corresponding density curve. [Hint: Total area under the graph of f(x) is 1.]
f(x)
f(x)
1.5
1.0
0.5
O
f(x)
1.5
0.5
1.0
1.5
2.0
X
O
1.5
1.0
0.5
f(x)
1.5
0.5
1.0
1.5
4
2.0
time left...
1:05:17
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16cbd5c2-fb88-434e-ad72-693f4b78f768%2F135c3515-9997-4cc3-b5c1-3419919414ce%2Fvir1ig_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assign
эхс
ur last submission is used for your score.
1.
X
DETAILS DEVORESTAT9 4.1.005.
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.
= {10/²
0≤x≤2
otherwise
(a) Find the value of k. (Enter your answer to three decimal places.)
f(x) =
Draw the corresponding density curve. [Hint: Total area under the graph of f(x) is 1.]
f(x)
f(x)
1.5
1.0
0.5
O
f(x)
1.5
0.5
1.0
1.5
2.0
X
O
1.5
1.0
0.5
f(x)
1.5
0.5
1.0
1.5
4
2.0
time left...
1:05:17
X
Transcribed Image Text:sign
Submit Answer
1.5
DETAILS
1.0
0.5
70
0.5
1.30
1.0
1.5
If a binomial distribution has p = .30, then q =
30
.50
2.0
DEVORESTAT9 3.TB.015.
X
****
1.5
1.0
0.5
(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.)
0.5
sects (
(c) What is the probability that the lecture continues beyond the hour for between 60 and 75 sec (Round your answer to four decimal places.)
1.0
(d) What is the probability that the lecture continues for at least 75 sec beyond the end of the hour? (Round your answer to four decimal places.)
1.5
2.0
X
1:0
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