The function f ( x ) = 1 2 ( 1 + x ) − 3 2 is a probability density function on the interval [ 0 , ∞ ) and find the probability P ( 0 ≤ X ≤ 2 ) .

Question

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Answer 1

Question

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥5) .

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Answer 2

Question

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥5) .

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Answer 3

Question

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥5) .

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Answer 4

Question

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥5) .

Expert Solution & Answer

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Answer 5

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥5) .

Answer 6

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

Answer 7

Chapter 18.1, Problem 29E

(a)

To determine

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

Answer 8

(b)

To determine

To find: The probability P(1≤X≤3) .

Answer 9

(b)

To determine

To find: The probability P(1≤X≤3) .

Answer 10

(c)

To determine

To find: The probability P(X≥5) .

Answer 11

(c)

To determine

To find: The probability P(X≥5) .

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 18.1 - Prob. 1YT Ch. 18.1 - Prob. 2YT Ch. 18.1 - Using the probability density function of Example...Ch. 18.1 - Use part (a) of Example 5 to calculate the...Ch. 18.1 - Evaluate each of the following integrals. (Sec....Ch. 18.1 - Prob. 2WE Ch. 18.1 - Prob. 3WE Ch. 18.1 - Decide whether the functions defined as follows...Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E

The function f ( x ) = 1 2 ( 1 + x ) − 3 2 is a probability density function on the interval [ 0 , ∞ ) and find the probability P ( 0 ≤ X ≤ 2 ) .

Solution Summary: The author explains the function f, which is a probability density function for random variables in the interval left[a,bright].

To show: The function f(x)=12(1+x)−32 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤2) .

To find: The probability P(1≤X≤3) .

To find: The probability P(X≥5) .

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Chapter 18 Solutions