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10. Which of the following parameter configurations would make it appropriate to approximatetheBin(n, p) distribution with a normal distribution?(a)n= 10,p= 0.7(b)n= 20,p= 0.8(c)n= 30,p= 0.4(d)n= 40,p= 0.1(e) none of the aboveExhibit II.Suppose a continuous random variableXhas the following probability densityfunction (pdf):f(x) =(kx20≤x≤20otherwise11. Refer to Exhibit II. What is the value ofk? (Recall that the total area under the pdf mustbe 1.)12. Refer to Exhibit II. What is the probability thatX≤1?Exhibit III.The checkout durationX(hours) for a book on a 2-hour reserve at a collegelibrary has the following cumulative distribution function (cdf):F(x) =0x <0x2/40≤x <212≤x13. Refer to Exhibit III. What is the median checkout duration?14. Refer to Exhibit III. What is the probability that
(a) 1/5(b) 1/4(c) 1/3(d) 1/2(e) none of the above15. The timeX(minutes) for a lab assistant to prepare the equipment for a certain experiment isbelieved to follow a uniform distribution withA= 20 andB= 30. For 20< a < a+ 2<30,what is the probability thata < X < a+ 2?