The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ = 3.5 by using the exponential probability density function given as, f ( t ) = 1 λ e − t / λ , [ 0 , ∞ )

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Answer 1

Question

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

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Answer 2

Question

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 6

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 7

Chapter 9.2, Problem 36E

a)

To determine

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 8

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 9

b)

To determine

To calculate: The probability that the lifetime of the provided component would be more than 2 years but less than 4 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 10

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 11

c)

To determine

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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 that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ = 3.5 by using the exponential probability density function given as, f ( t ) = 1 λ e − t / λ , [ 0 , ∞ )

Solution Summary: The author calculates the probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component is exponentially distributed with lambda =3.5.

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To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

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Chapter 9 Solutions

The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ = 3.5 by using the exponential probability density function given as, f ( t ) = 1 λ e − t / λ , [ 0 , ∞ )

Solution Summary: The author calculates the probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component is exponentially distributed with lambda =3.5.

Concept explainers

Videos

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as, f(t)=1λe−t/λ, [0,∞)

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as, f(t)=1λe−t/λ, [0,∞)

Want to see the full answer?

Chapter 9 Solutions

To calculate: The probability that the lifetime of the provided component would be less than 1 year when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)

To calculate: The probability that the lifetime of the provided component would be at-least 5 years when the time t until failure of a component in a machine is exponentially distributed with λ=3.5 by using the exponential probability density function given as,

f(t)=1λe−t/λ, [0,∞)