Mathematics, 06.12.2021 23:20 cristinanina
An ecologist wishes to select a point inside a circular sampling region according to a uniform distribution (in practice this could be done by first selecting a direction and then a distance from the center in that direction). Let X the x coordinate of the point selected and Y the y coordinate of the point selected. If the circle is centered at (0, 0) and has radius R, then the joint pdf of X and Y is given below:
f(x, y) = {1/piR^2 x2+y2+
otherwise
a) What is the probability that the selected point is within R/6 of the center of the circular region?
b) What is the probability that both X and Y differ from 0 by at R/3?
c) What is the probability that both X and Y differ from 0 by at R/underroot3?
Answers: 1
Other questions on the subject: Mathematics
Mathematics, 22.06.2019 00:30, EBeast7390
Asalsa recipe uses green pepper, onion, and tomato in the extended ratio 3: 5: 7. how many cups of tomato are needed to make 105 cups of salsa? a. 7 b. 21 c. 35 d. 49
Answers: 3
Mathematics, 22.06.2019 01:30, christyr2002
Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?
Answers: 1
You know the right answer?
An ecologist wishes to select a point inside a circular sampling region according to a uniform distr...
Questions in other subjects:
Mathematics, 17.02.2021 21:20
Mathematics, 17.02.2021 21:20
English, 17.02.2021 21:20
