college professor never finishes his lecture before the end of the hour and always finishes his...

college professor never finishes his lecture before the end of the hour and always finishes his lectures within 3 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.

f(x)= kx^2 0 less than or equal to x less than or equal to 3 otherwise f(x)=0

a) find the value of K that satisfy condition of PDF?

b) find cdf (cumulative distributive function) for f(x)

c) what is the probability that the lecture ends at t=0.5min of the end of the hour?

also explain how you would put it in a calculator using normpdf/binompdf or normcdf/binomcdf

Expert Solution

In the above pictures, the value of 'k' for which the function f(x) follows the condition for a pdf is given and also the CDF and the value of PDF at time=0.5min is given. Also the procedure for the calculation using TI-83 calculator of the third part of the problem is given. Hope you will like it. Thank you.

milcah answered 7 months ago

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