A college professor never finishes his lecture before
Chapter 4, Problem 5(choose chapter or problem)
A college professor never finishes his lecture before theend of the hour and always finishes his lectures within2 min after the hour. Let X 5 the time that elapsesbetween the end of the hour and the end of the lecture andsuppose the pdf of X isf(x) 5 5kx2 0 # x # 20 otherwisea. Find the value of k and draw the corresponding densitycurve. [Hint: Total area under the graph of f (x) is 1.]b. What is the probability that the lecture ends within1min of the end of the hour?c. What is the probability that the lecture continuesbeyond the hour for between 60 and 90 sec?d. What is the probability that the lecture continues forat least 90 sec beyond the end of the hour?
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