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You are going to toss a coin repeatedly in successive trials until you get a head for the first time, and then you are going to stop the experiment. Assuming that the coin is unbalanced with P(head) = 1/5, answer the following questions:

(1) Draw a tree diagram that is used to determine the outcomes;

(2) List at least 4 possible outcomes;

(3) Express the event "at least 4 tosses are required" in terms of the outcomes;

(4) Compute the probabilities P("at least 4 tosses are required before the experiment terminates");

(5) Explain why the probability calculated in (4) is large.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9994240

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