(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). (e) Compute P(X < 1). (f) Compute P(X > 1). (g) Compute E(X).

MATLAB: An Introduction with Applications
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(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).
Transcribed Image 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).
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