9. Consider the following two step experiment: Step1: we toss a coin (can land H or T) with P(H) = 0.6 - Step 2: If the coin lands H we roll a fair 4-sided die with labels 1, 2, 3, 4 Else we roll a die with distribution 1 2 3 4 0.2 0.3 0.2 0.3 Let E = Die rolls to an even number, and F = Coin lands H. (a) Draw the labelled tree diagram for this experiment. (b) List out all outcomes in the sets E and F. (c) Calculate P(E), P(F), P(E|F). (d) Are the events E and F independent? Show all work.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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9. Consider the following two step experiment:
Step1: we toss a coin (can land H or T) with P(H) = 0.6
-
Step 2: If the coin lands H we roll a fair 4-sided die with labels 1, 2, 3, 4
Else we roll a die with distribution
1
2
3
4
0.2 0.3 0.2 0.3
Let E =
Die rolls to an even number, and F = Coin lands H.
(a) Draw the labelled tree diagram for this experiment.
(b) List out all outcomes in the sets E and F.
(c) Calculate P(E), P(F), P(E|F).
(d) Are the events E and F independent? Show all work.
Transcribed Image Text:9. Consider the following two step experiment: Step1: we toss a coin (can land H or T) with P(H) = 0.6 - Step 2: If the coin lands H we roll a fair 4-sided die with labels 1, 2, 3, 4 Else we roll a die with distribution 1 2 3 4 0.2 0.3 0.2 0.3 Let E = Die rolls to an even number, and F = Coin lands H. (a) Draw the labelled tree diagram for this experiment. (b) List out all outcomes in the sets E and F. (c) Calculate P(E), P(F), P(E|F). (d) Are the events E and F independent? Show all work.
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