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kondor19780726 [428]

2 years ago

12

PLS HELP!! AS SOON AS POSSIBLE !!

1 answer:

Colt1911 [192]2 years ago

3 0

23 .........................

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Suppose that a recent poll found that 49% of adults believe that the overall state of moral values is poor. Complete parts (a)

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The mean of X is 122.5 and the standard deviation is 7.9.

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For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

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In this problem, we have that:

$n = 250, p = 0.49$

So

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$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9$

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