OpenStax, Introductory Business Statistics 2e §3.2 Independent and Mutually Exclusive Events · Example 6 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Example 6

Let event C = taking an English class. Let event D = taking a speech class.
Suppose $P (C) = 0.75$ , $P (D) = 0.3$ , $P (C ∣ D) = 0.75$ and $P (C \cap D) = 0.225$ .
Justify your answers to the following questions numerically.

(a) Are C and D independent?
(b) Are C and D mutually exclusive?
(c) What is $P (D ∣ C)$ ?

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OpenStax, Introductory Business Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Example 6

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