True or False. Justify for full credit. (a) If A and B are disjoint, P(A) = 0.4 and P(B) = 0.5, then P(A OR B) = 0.

True or False. Justify for full credit. (a) If A and B are disjoint, P(A) = 0.4 and P(B) = 0.5, then P(A OR B) = 0.9. (b) If the variance for a data set is zero, then all the observations in this data set must be identical. (c) There may be more than one mode in a data set. (d) A 90% confidence interval is wider than a 95% confidence interval of the same parameter. (e) In a right-tailed test, the value of the test statistic is 2. The test statistic follows a distribution 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.