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mel-nik [20]
1 year ago
7

60% of the voters favor Ms. Stein. If 200 voters are chosen at random, what is the expected number of voters who indicate favori

ng Ms. Stein?The expected number of voters who indicate favoring Ms. Stein is
Mathematics
1 answer:
damaskus [11]1 year ago
6 0

Given,

The parcentage of voters in favr of Ms Stein is 60%.

The total number of voters are 200.

The expected number of voters who indicate favoring Ms. Stein is,

\text{Expected value = probability}\times sample\text{ size}

Substituting the values,

\begin{gathered} \text{Expected value=}\frac{\text{60}}{100}\times200 \\ =120 \end{gathered}

Hence, the expected number of voters who indicate favoring Ms. Stein is 120

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In this problem, we have that:

n = 30, p = 0.626

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\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is P(X \leq 16 + 0.5) = P(X \leq 16.5), which is the pvalue of Z when X = 16.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16.5 - 18.78}{2.65}

Z = -0.86

Z = -0.86 has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

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