4. Suppose we toss a coin with P(H) = 0.5 four times. (a) Suppose X(w) = the number of heads in w. i. What is X. ii. For each x Є X calculate the set {X = x}. iii. Calculate P(X = x) for all x = X. (b) Suppose X(w) = the number of tails in w. i. What is X. ii. For each xx calculate the set {X = x}. iii. Calculate P(X = x) for all x = x. iv. Compare your answer with the previous problem. (c) Suppose X(w) = are there more heads than tails in w?. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x = X.

MATLAB: An Introduction with Applications
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4. Suppose we toss a coin with P(H) = 0.5 four times.
(a) Suppose X(w) = the number of heads in w.
i. What is X.
ii. For each x Є X calculate the set {X = x}.
iii. Calculate P(X = x) for all x = X.
(b) Suppose X(w) = the number of tails in w.
i. What is X.
ii. For each xx calculate the set {X = x}.
iii. Calculate P(X = x) for all x = x.
iv. Compare your answer with the previous problem.
(c) Suppose X(w) = are there more heads than tails in w?.
i. What is X.
ii. For each x = X calculate the set {X = x}.
iii. Calculate P(X = x) for all x = X.
Transcribed Image Text:4. Suppose we toss a coin with P(H) = 0.5 four times. (a) Suppose X(w) = the number of heads in w. i. What is X. ii. For each x Є X calculate the set {X = x}. iii. Calculate P(X = x) for all x = X. (b) Suppose X(w) = the number of tails in w. i. What is X. ii. For each xx calculate the set {X = x}. iii. Calculate P(X = x) for all x = x. iv. Compare your answer with the previous problem. (c) Suppose X(w) = are there more heads than tails in w?. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x = X.
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