Suppose you toss a fair coin 4 times. Let $X=$ the number of heads you get. (a) Find the probability distribution of $X .$ (b) Make a histogram of the probability distribution. Describe what you see. (c) Find $P(X \leq 3)$ and interpret the result.
Added by Ethan T.
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5) - C(n, k) is the binomial coefficient, which gives the number of ways to choose k successes out of n trials. So, the probability distribution of X is: P(X=0) = C(4, 0) * (0.5^0) * ((1-0.5)^(4-0)) = 1 * 1 * (0.5^4) = 0.0625 P(X=1) = C(4, 1) * (0.5^1) * Show more…
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