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
