Probability of not requiring replacement of module which was sent on a six month mission. 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.

Question

A product engineer has developed the following equation for the cost of a system component: C = (10P)2, where is the cost in dollars and Pis the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate for the system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?

Answer 1

Question

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

c

Summary Introduction

Expected time to use all 40 spares.

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.

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A product engineer has developed the following equation for the cost of a system component: C = (10P)2, where is the cost in dollars and Pis the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate for the system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?

A product engineer has developed the following equation for the cost of a system component: C = (10P) 2, where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate forthe system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?

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?

Answer 2

Question

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

c

Summary Introduction

Expected time to use all 40 spares.

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.

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Answer 3

Question

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

c

Summary Introduction

Expected time to use all 40 spares.

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.

Expert Solution & Answer

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Answer 4

Question

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

c

Summary Introduction

Expected time to use all 40 spares.

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.

Expert Solution & Answer

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Answer 5

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

c

Summary Introduction

Expected time to use all 40 spares.

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.

Answer 6

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

Answer 7

Chapter 13.3, Problem 14P

a

Summary Introduction

Interpretation:

Probability of not requiring replacement of module which was sent on a six month mission.

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.

Answer 8

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

Answer 9

b

Summary Introduction

Interpretation:

Probability of fifth failure is more than one year after devices are placed into service.

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.

Answer 10

c

Summary Introduction

Expected time to use all 40 spares.

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.

Answer 11

c

Summary Introduction

Expected time to use all 40 spares.

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.

Answer 12

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Answer 23

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

Probability of not requiring replacement of module which was sent on a six month mission. 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.

Solution Summary: The author describes Probability Distribution Function as a likelihood of an event to occur for discrete random variables. The probability of fifth failure is more than one year after devices are placed into service.

Videos

Expected time to use all 40 spares.

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.

Chapter 13 Solutions

Probability of not requiring replacement of module which was sent on a six month mission. 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.

Solution Summary: The author describes Probability Distribution Function as a likelihood of an event to occur for discrete random variables. The probability of fifth failure is more than one year after devices are placed into service.

Videos

Expected time to use all 40 spares. 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.

Chapter 13 Solutions

Expected time to use all 40 spares.

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.