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

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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
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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: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
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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
ASK YOU
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 ASK YOU
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