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QUESTION

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

True or False. Justify for full credit.(a) If P(A) = 0.4, P(B) = 0.5, and A and B are independent, then P(A AND B) = 0.2

.(b) If the variance of a data set is 0, then all the observations in this data set must be zero.

(c) The mean is always equal to the median for a normal distribution

.(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 distributionwith the distribution curve shown below. If we know the shaded area is 0.96, then we havesufficient evidence to reject the null hypothesis at 0.05 level of significance.

I attached the graph.

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