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Toss 4 times Suppose you toss a fair coin 4 times. Let X = the number of heads you get
Chapter 6, Problem 1(choose chapter or problem)
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.
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QUESTION:
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.
Step 1 of 3
(a)
There are 16 outcomes when a coin is tossed four times. The outcomes which result in values of X being 0, 1, 2, 3, and 4 are given as:
X = 0; (TTTT)
X = 1; (HTTT)(THTT)(TTHT)(TTTH)
X = 2; (HHTT)(HTHT)(HTTH)(TTHH)
X = 3; (HHHT)(HTHH)(HHTH)(THHH)
X = 4; (HHHH)
We can summarize the probability distribution of X as follows:
\(\begin{array}{|c|c|c|c|c|c|} \hline \text { Value } & 0 & 1 & 2 & 3 & 4 \\ \hline \text { Probability } & 1 / 16 & 4 / 16 & 6 / 16 & 4 / 16 & 1 / 16 \\ \hline \end{a
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