Answer:
I believe the perimeter is 90 and the area is 300sqft
Step-by-step explanation:
Let Xi be the random variable representing the number of units the first worker produces in day i.
Define X = X1 + X2 + X3 + X4 + X5 as the random variable representing the number of units the
first worker produces during the entire week. It is easy to prove that X is normally distributed with mean µx = 5·75 = 375 and standard deviation σx = 20√5.
Similarly, define random variables Y1, Y2,...,Y5 representing the number of units produces by
the second worker during each of the five days and define Y = Y1 + Y2 + Y3 + Y4 + Y5. Again, Y is normally distributed with mean µy = 5·65 = 325 and standard deviation σy = 25√5. Of course, we assume that X and Y are independent. The problem asks for P(X > Y ) or in other words for P(X −Y > 0). It is a quite surprising fact that the random variable U = X−Y , the difference between X and Y , is also normally distributed with mean µU = µx−µy = 375−325 = 50 and standard deviation σU, where σ2 U = σ2 x+σ2 y = 400·5+625·5 = 1025·5 = 5125. It follows that σU = √5125. A reference to the above fact can be found online at http://mathworld.wolfram.com/NormalDifferenceDistribution.html.
Now everything reduces to finding P(U > 0) P(U > 0) = P(U −50 √5125 > − 50 √5125)≈ P(Z > −0.69843) ≈ 0.757546 .
Answer:
Statistics is a mathematical technique and science that attempts to extract valid knowledge using empirical data of observation or experiment. The main object of research and study of Statistics is the collection, processing and interpretation of various data with the ultimate goal of drawing safe conclusions for making correct decisions. It is an important science whose applications have a wide field in administration, business, as well as in positive and behavioral or social sciences.
Answer:
17/3 or in decimal form, 5.67 gallons for each person.
Step-by-step explanation:
If 34 gallons of fruit punch will be shared equally with 6 people, just divide 34 by 6.
34/6 = 17/3 or in decimal form, 5.67 gallons for each person.
