Cumulative distribution function of the time until failure. Concept Introduction: Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area. Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

Question

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Answer 1

Question

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

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Students have asked these similar questions

The failure of power transformers is assumed to follow a Poisson probability distribution. Suppose on the average, a transformer fails once every 10 years, what is the probability that it will not fail in the next 12 months? That it will fail once in the next 24 months?

In designing a new space vehicle, NASA needs to decide whether to provide 0, 1 or 2 backup systems for a critical component of the vehicle. The first backup system, if included, comes into use only if the original system fails. The second backup system, if included, comes into use only if the original system and the first backup system both fail. NASA engineers claim that each system, independent of the others, has a 1.5% chance of failing if called into use. Each backup system costs $70,000 to produce and install within the vehicle. Once the vehicle is in flight, the mission will be scrubbed (ended early) only if the original system and all backups fail. The cost of a scrubbed mission, in addition to production costs, is assessed to be $5,000,000. How many backup systems are needed to minimize NASA’s expected total cost?

A subassembly in an industrial robot consists of 12 components in series, each of which fails completely at random at a rate of once every 50 years.a. What is the mean time between failures for this part of the robot?b. What is the probability that this subassembly does not fail within eight years of operation?

Answer 2

Question

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Expert Solution & Answer

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Answer 3

Question

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Expert Solution & Answer

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Answer 4

Question

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Expert Solution & Answer

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Answer 5

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Answer 6

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

Answer 7

Chapter 13.1, Problem 5P

a

Summary Introduction

Interpretation:

Cumulative distribution function of the time until failure.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.

Answer 8

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Answer 9

b

Summary Introduction

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Answer 10

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Answer 11

c

Summary Introduction

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 13.1 - Prob. 3P Ch. 13.1 - Prob. 4P Ch. 13.1 - Prob. 5P Ch. 13.1 - Prob. 6P Ch. 13.2 - Prob. 7P Ch. 13.2 - Prob. 9P Ch. 13.3 - Prob. 13P Ch. 13.3 - Prob. 14P Ch. 13.4 - Prob. 15P Ch. 13.4 - Prob. 16P

Solution Summary: The author describes the probability distribution function of the time until failure for discrete random variables. Exponential distribution finds probability of an event to occur between independent constant and continous rate.

Concept explainers

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Want to see the full answer?

Chapter 13 Solutions

Solution Summary: The author describes the probability distribution function of the time until failure for discrete random variables. Exponential distribution finds probability of an event to occur between independent constant and continous rate.

Concept explainers

Interpretation: The probability that a transducer can be chosen at random function for 8 years Concept Introduction: Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Interpretation: The probability that a transducer that has completed 8 years continues to function another eight years Concept Introduction: Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Want to see the full answer?

Chapter 13 Solutions

Interpretation:

The probability that a transducer can be chosen at random function for 8 years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

Interpretation:

The probability that a transducer that has completed 8 years continues to function another eight years

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.