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

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college professor never finishes his lecture before the end ofthe hour and always finishes his lectures within 3 min after thehour. Let X = the time that elapses between the end of the hour andthe 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 3otherwise 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 ofthe end of the hour?

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

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In the above pictures the value of k for which the    See Answer
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