ZuoTi.Pro
Question

A mechatronic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that defects occur according to a Poisson distribution with parameter # 0.02. (a) What is the probability that an assembly will have exactly one defect? (b) What is the probability that an assembly will have one or more defects? (c) Suppose that you improve the process so that the occurrence rate of defects is cut in half to A 0.01. What effect does this have on the probability that an assembly will have one or 5. more defects?
math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Let X is a random variable shows the number of defects in the assembly. The pdf of X is

P(X = r)-e-0.02 0,02

(a)

The probability that assembly has exactly one defect is

0.020.02 i P(X = 1) = 0.01960 1!

(b)

The probability that assembly has exactly one or more defect is

e-0.020.020 01 0) = 0.01980

(c)

The probability that assembly has exactly one or more defect is

e-0010.01 01 = 0.00995

1 1
Add a comment
Know the answer?
Add Answer to:
A mechatronic assembly is subjected to a final functional test. Suppose that defects occur at random...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The mmnber of dsioci tisoan distribution with parameter -0.02. a. What is the probability that an...

    The mmnber of dsioci tisoan distribution with parameter -0.02. a. What is the probability that an assembly will have exactly one defect? b. What is the probability that an assembly will have one or more defects? c. What is the mean (expected value) and variance of the number of defects found on the assemblies inspected? Suppose that you found five consecutive assemblies each with two or more defects. If2 0.02, what are the chances of observing this again? What is...

  • 2) Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for defects. Historical...

    2) Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for defects. Historical records indicate that 8% have defects in shafts only, 6% have defects in bushings only, and 2% have defects in both shafts and bushings. one ot the hydraulic assemblies is selected randomly. What is the probability that the assembly has: (02 Marks) a) Bushing defect? b) Shaft or bushing defect? c) Exactly one of the two types of defects? d) Neither type of defect?

  • A certain system can experience three different types of defects. Let A, (i 1,2,3) denote the...

    A certain system can experience three different types of defects. Let A, (i 1,2,3) denote the event that the system has a defect of type i Suppose that the following probabilities are true. PLA,)-0.11 RA2)-0.07 pA,)-0.05 P(A, UA2)0.12 P(A, UA3) -0.13 P(A2 U A3) 0.10 PA, A A3)0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal places.) 9300 (b) Given that...

  • A certain system can experience three different types of defects. Let A; (i - 1,2,3) denote...

    A certain system can experience three different types of defects. Let A; (i - 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true P(A1) = 0.12 P(A2)-0.08 P(As) = 0.05 P(A1 U A2) 0.14 P(A U As)-0.14 P(A2 U As) = 0.11 P(A1 n A2 n As) = 0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2...

  • A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote...

    A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.11 P(A2) = 0.08 P(A3) = 0.05 P(A1 U A2) = 0.13 = 0.13 P(A2 U A3) = 0.11 P(An Azn Az) = 0.01 P(A1 UA3) (a) Given that the system has a type 1 defect, what is the probability that it has a...

  • A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event...

    A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true p(A1) = 0.12 p(%) = 0.08 p(A1) = 0.05 p(A1 UA2)-0.14 P(A1 u A3)-0.14 PA2 UAs)-0.11 P(A1 n A2 n A3)-0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal...

  • 1. Suppose that random variables X and Y are independent and have the following properties: E(X)...

    1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....

  • The Binomial and Poisson Distributions Both the Binomial and Poisson Distributions deal with discrete data where...

    The Binomial and Poisson Distributions Both the Binomial and Poisson Distributions deal with discrete data where we are counting the number of occurrences of an event. However, they are very different distributions.  This problem will help you be able to recognize a random variable that belongs to the Binomial Distribution, the Poisson Distribution or neither. Characteristics of a Binomial Distribution Characteristics of a Poisson Distribution The Binomial random variable is the count of the number of success in n trials:   number of...

  • Any help? 2. The Prussian horse-kick data: The derivation of the Poisson distribution that we did...

    Any help? 2. The Prussian horse-kick data: The derivation of the Poisson distribution that we did in class is due to Poisson. However, this distribution did not see much application until a text by Bortkiewicz in 1898. One famous example from that text is the use of the “Prussian horse-kick data" to illustrate how the Poisson distribution may help evaluate whether rare events are really occurring independently or randomly. Bortkiewicz studied the distribution of 122 men kicked to death by...

  • Question 1     Snowfalls occur randomly and independently over the course of winter in a Nebraska...

    Question 1     Snowfalls occur randomly and independently over the course of winter in a Nebraska city. The average is one snowfall every 3 days.     a) What is the probability of 5 snowfalls in 2 weeks? Carry answer to the nearest ten-thousandths     b) What is the probability of a snowfall today? Carry answer to the nearest ten-thousandths Question 2     After observing the number of children checking out books, a librarian estimated the following probability distribution of x,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT