2. A college professor never finishes his lecture before the end of the hour and always finishes his lecture within 2 min after the hour. Let X be the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is f(x) = kx² for 0

2. A college professor never finishes his lecture before the end of the hour and always finishes his lecture within 2 min after the hour. Let X be the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is f(x) = kx² for 0

Name: Please help me with this question. 2. A college professor never finish
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A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Please help me with this question.

2. A college professor never finishes his lecture before the end of the hour and always
finishes his lecture within 2 min after the hour. Let X be the time that elapses between
the end of the hour and the end of the lecture and suppose the pdf of X is f(x) = kx²
for 0 <x<2 and f(x) = 0 elsewhere.
(a) Find the value of k.
(b) What is the probability that the lecture ends within 1 min of the end of the hour?
(c) What is the probability that the lecture continues beyond the hour for between 60
and 90 sec?
(d) What is the probability that the lecture continues for at least 90 sec beyond the end
of the hour?
(e) Find the cdf of X, F(x), and repeat parts (b), (c), and (d) using F(x) instead of f (x).

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