Probability Density Function 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 1

Question

Chapter 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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.

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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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7. A piece of equipment has a lifetime T (measured in years) that is a continuous ran- dom variable with cumulative distribution function F(t) = 1 – e/10 – (1/10) e¯/10 for all t> 0. a. What is the probability density function of T? b. What is the probability that a piece of equipment survives more than 20 years? c. What is the probability that a piece of equipment survives more than 10 years but fewer than 20 years? d. What is the probability that a piece of equipment survives more than 20 years given that it has survived for 10 years? 8. For the equipment mentioned in Problem 7, a. Derive the failure rate function r(1), and draw a graph of the function. b. Without using the failure rate function, determine the probability that a piece of equipment that has survived 20 years of operation fails in the 21st year. c. Does r(20) accurately estimate your answer to part (b)? Why or why not?

Answer 2

Question

Chapter 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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.

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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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Answer 3

Question

Chapter 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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.

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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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Answer 4

Question

Chapter 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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.

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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.

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 13.2, Problem 7P

a

Summary Introduction

Interpretation:

Probability Density Function

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 that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 20 years.

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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:

Probability that a piece of equipment survives more than 10 years but fewer than 20 years.

Concept Introduction:

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

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

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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 13

d

Summary Introduction

Interpretation:

Probability that a piece of equipment survives more than 20 years given it has survived for 10 years

Concept Introduction:

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

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 14

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Answer 15

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Answer 16

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Answer 17

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 Density Function 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 explains the probability density function of life time T, which is the likelihood of an event to occur for discrete random variables.

Concept explainers

Interpretation:

Probability Density Function

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.

Interpretation:

Probability that a piece of equipment survives more than 20 years.

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

Probability Density Function 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 explains the probability density function of life time T, which is the likelihood of an event to occur for discrete random variables.

Concept explainers

Interpretation: Probability Density Function 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.

Interpretation: Probability that a piece of equipment survives more than 20 years. 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:

Probability Density Function

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.

Interpretation:

Probability that a piece of equipment survives more than 20 years.

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.