sonyav732
07.01.2021 •
Mathematics
The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.
Solved
Show answers
More tips
- H Health and Medicine How to Increase Hemoglobin in the Blood...
- A Animals and plants How to Store Carrots: Tips for Homeowners...
- L Legal consultation Juvenile Justice: Who Needs It?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics Find the area of the triangles with congruent sides of 25 ft, a height of 20 ft and a base of 30 ft....
- M Mathematics I need the answers ASAP! Please...
- M Mathematics What is the approximate volume of the cylinder?Use 3.14 for pi....
- M Mathematics HELP 26. A sports car accelerates from 0 - 60 mph (27mps) in 6.3 seconds. The car exerts a force of 4106 N. What is the mass of the car?...
- M Mathematics Helpppppppppppppppppppppppppppppppppppppppppppppp...
- M Mathematics Which approach is the best to find the volume of a cube? A Measure the length of one side and multiply the length by 3. B Measure the length of one side and multiply...
- M Mathematics Is (0,0) a solution to this system...
- M Mathematics Find the midpoint of the line segment PLEASE HELP....NO LINKS PLEASE...
- M Mathematics Whats y = 2/3x - 2 on a graph...
- M Mathematics 10n3 − 15n2 + 20xn2 − 30xn Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the...
Ответ:
D. The mean is 31, and the standard deviation is 6.
Step-by-step explanation:
Given the data :
X = mean = 12 ; Standard deviation = 3
W = 7 + 2x
Variance of W = 2x
Variance = Standard deviation²
(2x)² = 4x²
Variance
Standard deviation of X = 3
Variance (W) = 4*3² = 4 * 9 = 36
Variance (W) = 36
Standard deviation = sqrt(variance)
Standard deviation = sqrt(36) = 6
Mean ; of x = 12
Mean(W) = 7 + 2(12)
Mean = 7 + 24
Mean = 31
Ответ:
d
Step-by-step explanation: