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miv72 [106K]
3 years ago
10

In one town, 47% of all voters are Democrats. If three

Mathematics
1 answer:
34kurt3 years ago
5 0

Answer:

The  probability that the all three votes are  Democrats

P(X=3) = 0.1038

Step-by-step explanation:

<u><em>Step(i):-</em></u>

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

<u><em>Step(ii):-</em></u>

Let 'X' be the random variable in binomial distribution

P(X=r) = n_{C_{r} } p^{r} q^{n-r}

The  probability that the all three votes are  Democrats

P(X=3) = 0.1038

n=3 and r=3

P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}

P(X=3) = 1 (0.47)^{3}

P(X=3) = 0.1038

<u>Final answer:-</u>

The  probability that the all three votes are  Democrats

P(X=3) = 0.1038

<u></u>

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