(2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T that results. Let X denote the total number of heads flipped. (a) Draw a tree diagram and list the outcomes...


(2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T<br>that results.<br>Let X denote the total number of heads flipped.<br>(a) Draw a tree diagram and list the outcomes in S.<br>(b) Briefly explain why each outcome in S is equally likely. You may assume the flips<br>are independent.<br>(c) Describe the distribution of X.<br>(d) Compute P(X = 0).<br>(е) Сompute P(X < 1).<br>(() Compute P(х:<br>(g) Compute E(X).<br>> 1).<br>

Extracted text: (2) Suppose you flip a fair coin four times and record the sequence of heads H and tails T that results. Let X denote the total number of heads flipped. (a) Draw a tree diagram and list the outcomes in S. (b) Briefly explain why each outcome in S is equally likely. You may assume the flips are independent. (c) Describe the distribution of X. (d) Compute P(X = 0). (е) Сompute P(X < 1).="" (()="" compute="" p(х:="" (g)="" compute="" e(x).=""> 1).

Jun 09, 2022
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