True or False. Justify for full credit.(a) A is an event, and Acis the complement of A, then P(A OR Ac) = 0.(b) If the variance of a data set is 0, then all the observations in this data set must be identical.(c) If a 95% confidence interval for a population mean contains 1, then the 99% confidenceinterval for the same parameter must contain 1(d) When plotted on the same graph, a distribution with a mean of 60 and a standard deviationof 5 will look more spread out than a distribution with a mean of 40 and standard deviationof 8.(e) In a right-tailed test, the value of the test statistic is 2. The test statistic follows adistribution with the distribution curve shown below. If we know the shaded area is 0.03,then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.