Let C and D be independent events, with P(C) = 2/3 and P(D) = 1/4. Read statements (a) through (d). Then decide whether each statement is TRUE or FALSE. (a) P (CND) = 1/6 is [Select] (b) P (CD) = 1/2 is [Select] (c) P (D|C) = 1/4 is [Select] (d) Events C and D are mutually exclusive is [Select]

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Let C and D be independent events, with P(C) = 2/3 and P(D) = 1/4.
Read statements (a) through (d). Then decide whether each statement is TRUE or FALSE.
(a) P (CD) = 1/6 is [Select]
(b) P (CD) = 1/2 is [Select]
(c) P (D|C) = 1/4 is [Select]
(d) Events C and D are mutually exclusive is [Select]
Transcribed Image Text:Let C and D be independent events, with P(C) = 2/3 and P(D) = 1/4. Read statements (a) through (d). Then decide whether each statement is TRUE or FALSE. (a) P (CD) = 1/6 is [Select] (b) P (CD) = 1/2 is [Select] (c) P (D|C) = 1/4 is [Select] (d) Events C and D are mutually exclusive is [Select]
Expert Solution
Step 1: Provide given information

The events C and D are independent.

The probabilities are as follows:

P open parentheses C close parentheses equals 2 over 3 space
P open parentheses D close parentheses equals 1 fourth

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