Toss 4 times 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...

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Toss 4 times 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 ≤ 3) and interpret the result.




Answered Same DayDec 25, 2021

Answer To: Toss 4 times Suppose you toss a fair coin 4 times. Let X = the number of heads you get. (a) Find the...

Robert answered on Dec 25 2021
134 Votes
X ∼ Binomial(n = 4, p = 0.5)
a)
P (X = 0) =
(4
0
)
(0.5)0(1 − 0.5)4 = 1(0.5)0(0.5)4 = 0.0625
P (X = 1) =
(4
1
)
(0.5)1(1 − 0.5)3 = 4(0.5)1(0.5)3 = 0.25
P (X = 2) =
(4
2
)
(0.5)2(1 − 0.5)2 = 6(0.5)2(0.5)2 = 0.375
P (X = 3) =
(4
3
)
(0.5)3(1 − 0.5)1 = 4(0.5)3(0.5)1 = 0.25
P (X =...
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