k should be 3/8. But, what is the probability that the lecture ends within 1 min of the end of the hour? - A college professor never finishes his lecture before the end of the hour and always finishes hislectures within 2 min after the hour. Let X = the time that elapses between the end of the hour and the end ofthe lecture and suppose the pdf of X isf(x) = kx^2 for 0 < x < 2• Find the value of k and draw the corresponding density curve.• What is the probability that the lecture ends within 1 min of the end of the hour?

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By the property , the total probability density function is equal to one.

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k should be 3/8. But, what is the probability that the lecture ends within 1 min of the end of the

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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k should be 3/8. But, what is the probability that the lecture ends within 1 min of the end of the hour?

- 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
f(x) = kx^2 for 0 < x < 2
• Find the value of k and draw the corresponding density curve.
• What is the probability that the lecture ends within 1 min of the end of the hour?

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