Ask Question
MathematicsMathematics
7 February, 16:51

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

1. Find the mean of the binomial distribution (Round to the nearest tenth as needed.)

2. Find the variance of the binomial distribution. (Round to the nearest tenth as needed.)

3. Find the standard deviation of the binomial distribution. (Round to the nearest tenth as needed.)

4. 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.)

+2
Answers (1)
  1. 7 February, 19:33
    0
    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. This is a binomial distribution since the outcomes are two ways. The probability of success, p = 78/100 = 0.78

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

    n = 6

    a) Mean = np = 6 * 0.78 = 4.68

    b) Variance = npq = 6 * 0.78 * 0.22 = 1.0

    c) Standard deviation = √npq = √ (6 * 0.78 * 0.22) = 1.0

    d) The standard deviation is used to express the spread of the data from the mean. Therefore, most samples of 6 adults would differ from the mean by no more than 1.0
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “78 % of U. S. adults think that political correctness is a problem in America today. You randomly select six U. S. adults and ask them ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Chris is 3 years older than Jacob. Nathan is eighteen years old. Two years ago the sum of all their ages was 59 years old. How old is Jacob?
Answers (2)
Walt made a shape using squares that measured 6 inches on a side what is the perimeter of the shape
Answers (1)
If 0° ≤ θ ≤ 90° and cosθ = 11 15, what is the value of sin (90° - θ) ?
Answers (1)
Find the area of the triangle when the coordinates are (2.5,4.5), (2,0), (9,2)
Answers (1)
Kate has a coin collection she keeps 7 of the coins in a box which is only 5% of her entire collection what is the total number of coins in kate coin collection
Answers (1)
New Questions in Mathematics
Give two examples of different measurements that are equivalent to 10 centimeters per second
Answers (1)
Find the possible values for s in the inequality 12s - 20 ≤ 50 - 3s - 25.
Answers (1)
14. Favorite School Subject Math 15% Science 20% English 35% History 30% Jenn recorded the favorite school subject of students at her school. She surveyed 700 students. How many more students chose English than Science?
Answers (1)
The population of gray wolves in Wisconsin increased from 570 in 2007 to 660 in 2014. Find the percent increase in the wolf population.
Answers (1)
Does the table represent an exponential function? Yes or No.
Answers (1)
Home » Mathematics » 78 % of U. S. adults think that political correctness is a problem in America today. You randomly select six U. S. adults and ask them whether they think that political correctness is a problem in America today.
Sign Up Forgot Password?