Stat-312 Mid-term Exam TwoInstructor: Lie XiongData: 11/13/14 Time Limit: 75 MinutesName (Print):This exam contains 7 pages (including this cover page) and 6 problems. Check to see if any pagesare missing. Enter all requested information on the top of this page. You are required to show allrelevant formulas and work on each problem in this exam.Percentiles may be useful for your calculation:z0.01= 2.33,z0.05= 1.64,z0.1= 1.28t0.05,6= 1.94,t0.05,7= 1.89,t0.05,8= 1.86,t0.05,9= 1.83,Pr(t8>0.528) = 0.306Cumulative Binomial Probabilities:Table 1:Pr(X≤x) =∑xy=1b(y;n, p), n=15p0.500.6000.0000.00010.0000.00020.0040.00030.0180.00240.0590.00950.1510.03460.3040.095x70.5000.21380.6960.39090.8490.597100.9410.783110.9820.909120.9960.973131.0000.995141.0001.000