1) The number of times that student takes an A class, X(X has aline under) has the discrete uniform pmf: p(x) = 0.25 for x =1,2,3,4. Recall from earlier course material that this pmf hasE(X)(X has a line under)=5/2 and V(X)(X has a line under)= 15/12. Arandom sample of 36 students will be selected and the number oftimes that have taken A class will be recorded.
-Determine the probability that the mean of this sample is lessthat 3.
2)The lysine composition is soybean meal was measured in 9random samples resulting in a sample mean of 22.4 g/kg and standarddeviation of 1.2g/kg. Construct a 2-sided 99% confidence intervalon the population standard deviation. Assume that the population isnormally distributed. What is the estimated of the lower bound ofthis confidence interval?
