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Sagot :
Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
Step(i):-
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
Step(ii):-
Let 'X' be the random variable in binomial distribution
[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
[tex]P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}[/tex]
[tex]P(X=3) = 1 (0.47)^{3}[/tex]
P(X=3) = 0.1038
Final answer:-
The probability that the all three votes are Democrats
P(X=3) = 0.1038
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