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olchik [2.2K]
3 years ago
8

A 78​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and as

k them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.Find the mean of the binomial distribution ​(Round to the nearest tenth as​ needed.)Find the variance of the binomial distribution. (Round to the nearest tenth as​ needed.)Find the standard deviation of the binomial distribution. (Round to the nearest tenth as​ needed.)Most samples of 6 adults would differ from the mean by no more than nothing. ​(Type integers or decimals rounded to the nearest tenth as​ needed.)
Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of U.S. adults who think that political correctness is a problem in America today. Since it is a binomial probability distribution, the probability if success, p = 78/100 = 0.78

The probability of failure, q = 1 - p = 1 - 0.78 = 0.22

Number of samples = 6

Mean = np = 6 × 0.78 = 4.7

Variance = npq = 6 × 0.78 × 0.22 = 1.0

Standard deviation = √variance = 1.0

Most samples of 6 adults would differ from the mean by no more than 1

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You need to pay $14.20 to get 4 coffees and 6 donuts.

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In the second instance, 5x+7y=17.15.

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We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

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1.75*4 is 7.00 and 1.20*6 is 7.20.

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