(a) an interpretation of the double integral I = ∬ D p ( x , y ) d x d y , (1) where D i s t h e u n i t s q u a r e [ 0 , 1 ] × [ 0 , 1 ]

Question

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Answer 1

Question

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

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Students have asked these similar questions

The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by | 2e-(x+2y) x 2 0, y 20 fx,y(x,y) = fx.MX.v) else Then the probability that the first transistor last for at least half hour given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.3935 c. 0.7772 d. 0.6318 e. 0.606

1) Let x be a uniform random variable in the interval (0, 1). Calculate the density function of probability of the random variable y where y = − ln x.

Let X,Y be two random variables with joint probability density function f(x, y) =0< X

Answer 2

Question

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Answer 6

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

Answer 7

Chapter 16.5, Problem 3PQ

To determine

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

Answer 8

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Answer 9

To determine

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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See solution

Answer 13

Ch. 16.1 - Prob. 1PQ Ch. 16.1 - Prob. 2PQ Ch. 16.1 - Prob. 3PQ Ch. 16.1 - Prob. 4PQ Ch. 16.1 - Prob. 5PQ Ch. 16.1 - Prob. 6PQ Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E

(a) an interpretation of the double integral I = ∬ D p ( x , y ) d x d y , (1) where D i s t h e u n i t s q u a r e [ 0 , 1 ] × [ 0 , 1 ]

Solution Summary: The author calculates the probability that the pair (X, Y) take values in a domain S.

(a)

an interpretation of the double integral

$I = \iint_{D} p (x, y) d x d y$ , (1)

where $D i s t h e u n i t s q u a r e [0, 1] \times [0, 1]$

(b)

an interpretation of the double integral

$I = \iint_{Δ} p (x, y) d x d y$ , (1)

where $Δ i s t h e t r i a n g u l a r r e g i o n s h o w n b e l o w$

Want to see the full answer?

Chapter 16 Solutions

(a) an interpretation of the double integral I = ∬ D p ( x , y ) d x d y , (1) where D i s t h e u n i t s q u a r e [ 0 , 1 ] × [ 0 , 1 ]

Solution Summary: The author calculates the probability that the pair (X, Y) take values in a domain S.