In a class of 100 students, 27 enjoy playing video games, 29 enjoy hiking, and 18 enjoy baking. Also, 10 enjoy both video games and hiking. 9 enjoy both hiking and baking, and 34 enjoy either video games or baking. Finally, 4 enjoy all three activities. Let V = "Enjoys video games". H = "Enjoys Hiking, B = "Enjoys baking". (Hint: use a Venn diagram please). Use full accuracy (5/87 is 0.0575). A. Find P(H| V U B). Express in words in the context of the problem what this means B. Find P(H ∩ V'|B). Express in words in the context of the problem what this means. C. Are the events H and B Independent? Explain D. What is the probability that a randomly selected student enjoys hiking but doesn't enjoy video games or baking? E. What is the probability that a randomly selected student enjoys exactly one of the three activities given that they like at least one of the activities?
In a class of 100 students, 27 enjoy playing video games, 29 enjoy hiking, and 18 enjoy baking. Also, 10 enjoy both video games and hiking. 9 enjoy both hiking and baking, and 34 enjoy either video games or baking. Finally, 4 enjoy all three activities. Let V = "Enjoys video games". H = "Enjoys Hiking, B = "Enjoys baking". (Hint: use a Venn diagram please). Use full accuracy (5/87 is 0.0575).
A. Find P(H| V U B). Express in words in the context of the problem what this means
B. Find P(H ∩ V'|B). Express in words in the context of the problem what this means.
C. Are the
D. What is the
E. What is the probability that a randomly selected student enjoys exactly one of the three activities given that they like at least one of the activities?
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