Question

4. (a) In a fibre optic cable, it is known that there are on a probability that () There are exactly zero defects in a 50 m length of cable. (ii) There are three or fewer defects in a 100 m length of cable. verage 1.5 defects per 50 m. What is the 8 marks] (b) 6 different types of defect are found in the cables. The chance of each defect occurring is equally likely. 50 components are selected at random and the number of defects in each of the components was recorded: Defect 4 Lype Number 14 8 4 12 of defects Determine if the expected pattern of defects has been obtained using a significance level of p- 0.05. [12 marks] (b) The probability of a defect in a fibre optic cable reel supplied by a different manufacturer is 0.1. Determine the probability of 2 reels being defective out of a batch of 20. [5 marks]
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
4. (a) In a fibre optic cable, it is known that there are on a probability...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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
  • 2. (a) You purchase a large roll of fibre optic cable, with a guarantee that the...

    2. (a) You purchase a large roll of fibre optic cable, with a guarantee that the average number of faults per 100m is 2. Assuming a Poisson distribution i. What is the probability that a 100m length of cable has no faults? 5 marks] ii. What is the probability that a 100m length of cable has at least 2 faults? 6 marks] iii. What is the probability that a 50m length of cable has at exactly one [6 marks] fault?

  • D Question 2 2 pts A manufacturer produces lengths of fiber optic cable. The manufacturer claims...

    D Question 2 2 pts A manufacturer produces lengths of fiber optic cable. The manufacturer claims to produce cable with fewer than 2 defect per 1000 feet. You want to examine this claim and purchase 100 feet of the cable and assume that the manufacturer is correct and that there really are only two defects per 1000 feet on average. Let X be the number of defects in the 100 feet of cable that you purchased. The appropriate distribution for...

  • Venus plc (Venus) manufactures fibre optic cables. This is an increasingly competitive market and the Chief...

    Venus plc (Venus) manufactures fibre optic cables. This is an increasingly competitive market and the Chief Financial Officer (CFO) of Venus has suggested that the company's pricing policy should change. Specifically, he has suggested that Venus' quotation for a new contract should be based on target costing. The costs relevant to this are listed below and the prices in this market are all quoted on a per metre basis: Target price $196 per metre of cable. The contract is estimated...

  • Question 4 (a) If a coin is flipped, the probability of it landing on heads on...

    Question 4 (a) If a coin is flipped, the probability of it landing on heads on any flip is 0.4. After 20 coin flips, determine the probability that: () There are exactly 2 heads. (ii) There are exactly 10 heads. (iii) 'There are between 3 and 7 heads. [12 marks] (b) In a bolt factory there are three machines: A, B and C. Machines A, B and C manufacture 20,30 and 50% respectively of the total output. Of their outputs,...

  • 1/ Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5...

    1/ Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5 0.14 6 0.11 7 0.10 Find the standard deviation of this variable. 1.52 4.01 1.58 2.49 2/ The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you be likely to choose based on these data and why? Supplier B, as their standard deviation is higher and, thus, easier to...

  • The number of flaws x on an electroplated automobile grill is known to have the following...

    The number of flaws x on an electroplated automobile grill is known to have the following probability mass function: p(0) = 0.6; p(1) = 0.2; p(2) = 0.1; p(3) = 0.1 a) Is this random variable continuous or discrete? Justify your answer. b) Verify that this is a proper mass function c) What is the probability that a randomly selected grill has fewer than 2 flaws? Calculate the probability, and use proper probability notation. d) What is the probability that...

  • This question is intended to assess your understanding of the rules of probability, the Theorem of...

    This question is intended to assess your understanding of the rules of probability, the Theorem of Total Probability and Bayes' formula. You should be able to answer this question after working through Section 1 of Book 1. A manufacturer obtains supplies of a particular component from three different sources: 15%, 50% and 35% of its supplies are obtained from sources 1, 2 and 3. respectively. The percentages of components from sources 1, 2 and 3 that prove to be faulty...

  • TQi The rotor and stator rows arrangement of an axial compressor stage and their general velocity...

    TQi The rotor and stator rows arrangement of an axial compressor stage and their general velocity diagrams are shown in Figure 1.1 (a) and (b), respectively. The compressor rotor blade speed is set at 100 m's and the inlet absolute flow velocity for rotor (C1) and stator (C:) are given in APPENDIX A (Each student will have different data) Consider normal stage condition and constant axial flow throughout the stage at 50 m's 01 C 0 SS 93 ROTOR t=100...

  • pleas help me in this do any question you know using National Electrical Code 2011 Applied Electricity NEC...

    pleas help me in this do any question you know using National Electrical Code 2011 Applied Electricity NEC worksheet t hree Copper conductors with THHN insulation run in Electrical A branch-circuit Consther conductors. The conductor terminations are rated for a maximum ure in the area of this installation is not expected to exceed 30C size 8 AWG, the maximum ampacity of the conductors If the conductors for this circuit are permitted A 40 amperes. B. 50 amperes. to be used...

  • MAT 2525 SCISLILS ST spring 2020 Homework: 3.1 Basic Probability & Counting Score: 0 of 1...

    MAT 2525 SCISLILS ST spring 2020 Homework: 3.1 Basic Probability & Counting Score: 0 of 1 pt 4 of 17 (3 complete) X 3.1.11 A random number generator is used to select an integer from 1 to 50 (inclusively). What is the probability of selecting the integer 35? The probability is Type an integer or a decimal. Do not round.) Erfor your answer in the a wer box and then click Check Answer All parts showing Clear All caps lock...

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