To prove: S ( x ) = 1 − F ( x ) , where S ( x ) is the survival function and F ( x ) is the cumulative distribution function of X and compute S ( x ) .

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Answer 1

Question

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

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The random variable X models the loss in thousands of dollars due to a fire in a commercial building. Its density function is f(x) = 0.005*(20-x) for 0 being less than or equal to x and x being less than or equal to 20 and f(x)= 0 otherwise. Given that a loss due to the fire exceeds $8000, find the probability the loss exceeds $16000.

Answer 2

Question

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

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Check out a sample textbook solution

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Answer 3

Question

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

Expert Solution & Answer

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Answer 5

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

Answer 6

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

Answer 7

Chapter 12.4, Problem 14E

(a)

To determine

To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

Answer 8

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

Answer 9

(b)

To determine

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 12.1 - Compute the expected value and the variance of the...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Probability Table, Expected Value The number of...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

To prove: S ( x ) = 1 − F ( x ) , where S ( x ) is the survival function and F ( x ) is the cumulative distribution function of X and compute S ( x ) .

Solution Summary: The author calculates the survival function S(x) and cumulative distribution function of X based on random variables.

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To prove: S(x)=1−F(x), where S(x) is the survival function and F(x) is the cumulative distribution function of X and compute S(x).

The constant k in the exponentialdensity function f(x), where the probability that the patient will survive at least 5 years is S(5)=0.90.

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