Question

Assume that we have two events, $A$ and $B,$ that are mutually exclusive. Assume further that we know $P(A)=30$ and $P(B)=40$ $$\begin{array}{l}{\text { a. What is } P(A \cap B) ?} \\ {\text { b. What is } P(A | B) ?}\end{array}$$ $$\begin{array}{l}{\text { c. A student in statistics argues that the concepts of mutually exclusive events and inde }} \\ {\text { pendent events are really the same, and that if events are mutually exclusive they muse }} \\ {\text { be independent. Do you agree with this statement? Use the probability information in in }} \\ {\text { this problem to justify your answer. }}\end{array}$$ $$\begin{array}{l}{\text { d. What general conclusion would you make about mutually exclusive and independent }} \\ {\text { events given the results of this problem? }}\end{array}$$

          Assume that we have two events, $A$ and $B,$ that are mutually exclusive. Assume further that
we know $P(A)=30$ and $P(B)=40$
$$\begin{array}{l}{\text { a. What is } P(A \cap B) ?} \\ {\text { b. What is } P(A | B) ?}\end{array}$$
$$\begin{array}{l}{\text { c. A student in statistics argues that the concepts of mutually exclusive events and inde }} \\ {\text { pendent events are really the same, and that if events are mutually exclusive they muse }} \\ {\text { be independent. Do you agree with this statement? Use the probability information in in }} \\ {\text { this problem to justify your answer. }}\end{array}$$
$$\begin{array}{l}{\text { d. What general conclusion would you make about mutually exclusive and independent }} \\ {\text { events given the results of this problem? }}\end{array}$$

Added by John F.

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