Mathematics, 13.03.2021 05:00 justtryingtopass7

According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. (Keep at least four decimal places.)

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Answer from: arianawelsh123l

a) 8.74

b) 2.6607

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that 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.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

According to a survey, about 19% of all Americans are without health insurance.

This means that p = 0.19

Suppose that you select a random sample of 46 Americans.

This means that n = 46

(a) Calculate the expected number of Americans without health insurance in the sample.

E(X) = np = 46*0.19 = 8.74

(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607$

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

d. 8

step-by-step explanation:

the given radical expression is:

$\sqrt{16}\times \sqrt{4}$

we can rewrite this as:

$(16)^{\frac{1}{2}\times (4)^{\frac{1}{2}$

we express as square numbers to get;

$(4^2)^{\frac{1}{2}\times (2^2)^{\frac{1}{2}$

the exponents will now cancel out to give.

$4\times2=8$

the correct answer is d

What is the value of the radical expression shown below

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According to a survey, about 19% of all Americans are without health insurance. Assume that this est...