The probability P ( 0 ≤ x ≤ 1 ) of the probability density function f ( x ) = 2 x 9 over the interval [ 0 , 3 ] .

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Answer 1

Question

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Answer 2

Question

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

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Answer 3

Question

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

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Answer 4

Question

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

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Answer 5

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

Answer 6

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

Answer 7

Chapter 9, Problem 10TYS

(a)

To determine

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

Answer 8

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

Answer 9

(b)

To determine

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 9.1 - Checkpoint 1 Worked-out solution available at...Ch. 9.1 - Prob. 2CP Ch. 9.1 - Prob. 3CP Ch. 9.1 - Prob. 4CP Ch. 9.1 - Prob. 5CP Ch. 9.1 - Prob. 6CP Ch. 9.1 - Prob. 1SWU Ch. 9.1 - Prob. 2SWU Ch. 9.1 - Prob. 3SWU Ch. 9.1 - Prob. 4SWU

The probability P ( 0 ≤ x ≤ 1 ) of the probability density function f ( x ) = 2 x 9 over the interval [ 0 , 3 ] .

Solution Summary: The author analyzes the probability density function f(x)=2x

To calculate: The probability P(0≤x≤1) of the probability density function f(x)=2x9 over the interval [0,3].

To calculate: The probability P(2≤x≤3) of the probability density function f(x)=2x9 over the interval [0,3].

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Chapter 9 Solutions