![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?](http://img.homeworklib.com/questions/b5696e70-75be-11ea-b1dd-1d9dc791e899.png?x-oss-process=image/resize,w_560)
Homework Answers
![ㅜhe average no.1 fcults per looms 2 门 →he p ob ,that a loom length cable has no 2. ot ! = 0.1353 0 1 i)) The pob ) The prob that a Ieom leng th 4 Cable has at least a fawle eco 0, 2706) ,-(0-1353十 こ o S94 ,,U-The Prob th one faults is som length + Cable has exaciz Peaultb a] Pob is 1353 o pb is .sg41](http://img.homeworklib.com/questions/b5e27760-75be-11ea-9380-e1cc9c15910f.png?x-oss-process=image/resize,w_560)
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2. (a) You purchase a large roll of fibre optic cable, with a guarantee that the...
4. (a) In a fibre optic cable, it is known that there are on a probability...
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...
(3 markah/marks) d) Bilangan kecacatan dalam kabel gentian optik mempunyai taburan Poisson. Purata bilangan kelemahan dalam...
(3 markah/marks) d) Bilangan kecacatan dalam kabel gentian optik mempunyai taburan Poisson. Purata bilangan kelemahan dalam 50m kabel adalah 1.2. The number of flaws in a fibre optic cable follows a Poisson distribution. The average number of flaws in 50m of cable is 1.2 ) Apakah kebarangkalian hanya ada tiga kecacatan dalam kabel 150m? What is the probability of exactly three flaws in 150m of cable? (1 markah/mark) i) Apakah kebarangkalian sekurang-kurangnya dua kecacatan dalam kabel 100m? What is the...
can you please solve for 1 and 2 following the instructions given Calculator Questions. Use a...
can you please solve for 1 and 2 following the instructions
given
Calculator Questions. Use a calculator for the following questions and show work. Several questions require you to select a distribution that best models the situation. Please state why you have selected the distribution you are using. You may use Excel/Minitab to verify answers. 1. A university operates a flu clinic on campus to diagnose students and refer them to appropriate care. Today, at the height of flu season,...
Players A and B each roll a fair 6-sided die. The player with the higher score...
Players A and B each roll a fair 6-sided die. The player with the higher score wins ¤1 from the other player. If both players have equal scores, the game is a draw and no one wins anything. i. Let X denote the winnings of player A from one round of this game. State the probability mass function of X. Calculate the expectation E(X) and variance Var(X). ii. What is the conditional probability that player A rolls , given that...
1, (a) Suppose that 60% of a large population know how the word 'accommodation' is spelled....
1, (a) Suppose that 60% of a large population know how the word 'accommodation' is spelled. Five people were selected at random from the population and asked i. What is the probability that exactly 2 of the 5 spelled the word correctly? ii. What is the probability that at least one person spelled the word correctly? ii. Given that the first person spelled the word correctly, what is the proba- (17 marks) (b) It is believed that fatalities due to...
Answer the following questions about conditional probability and Bayes theorem a. You roll 2 dice and...
Answer the following questions about conditional probability and Bayes theorem a. You roll 2 dice and record the sum i. Write the sample space ii. What is the probability of the sum being 10? ii. What is the probability that at least one of the die values was a 6 given that the sum was greater than or equal to 7?
2) The Poisson distribution is a good approximation to the binomial when n is large, p...
2) The Poisson distribution is a good approximation to the binomial when n is large, p is small, and the Poisson parameter λ is set equal to np. You can do this problem with paper, pencil, and a calculator. Report answers to parts a) and b) to four decimal places a) Suppose that a disease affects approximately one out of 10,000 people. Assuming independence of people getting the disease, what is the probability that ina population of 100,000 people, there...
(b) A 220 V single-phase electrical installation is wired up by 2 nos. of 25 mm²...
(b) A 220 V single-phase electrical installation is wired up by 2 nos. of 25 mm² single-core PVC cu. cables from distribution board to a load. A 50 A Type B MCB is used for the earth fault protection. 25mm single-core PVC Copper Cable SOA Type BMcB Z Metallic Enclosure 220V 50Hz Load Metallic Parts fault N 45m "H E Z 6mm single-core PVC Copper Cable Figure B4(b) Given that: • the cable length measured from distribution board to load...
3. Assume that X is the number of large earthquakes (with magnitude 2 7.5) occurring in...
3. Assume that X is the number of large earthquakes (with magnitude 2 7.5) occurring in each year. A statistician suggested that X follows a Poisson distribution with parameter ?. A Poisson distribution with parameter ? has expectation ? and variance ?. Suppose a data set 1,22,.,^n is the realization of a random sample Xi,..., Xn from this distribution. One can use either ? 1-X, or ?2-1 ?21 (Xi-%)2 to estimate the parameter ?. (a) Find Eli21 (b) Are both...
Appreciate if you can answer this ONE QUESTION COMPLETELY and give me a detailed working with...
Appreciate if you can answer this ONE QUESTION
COMPLETELY and give me a detailed working with explanation
for me to understand. Once completed so long as my doubts are
cleared and the solutions are correct, I will definitely vote up.
Some of the question are similiar to take a look carefully before
you answer as it's very important for me.
Thank you
Question 1 A laboratory test is 95 % correct in detecting a certain disease when the disease is...
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...
(3 markah/marks) d) Bilangan kecacatan dalam kabel gentian optik mempunyai taburan Poisson. Purata bilangan kelemahan dalam 50m kabel adalah 1.2. The number of flaws in a fibre optic cable follows a Poisson distribution. The average number of flaws in 50m of cable is 1.2 ) Apakah kebarangkalian hanya ada tiga kecacatan dalam kabel 150m? What is the probability of exactly three flaws in 150m of cable? (1 markah/mark) i) Apakah kebarangkalian sekurang-kurangnya dua kecacatan dalam kabel 100m? What is the...
can you please solve for 1 and 2 following the instructions
given
Calculator Questions. Use a calculator for the following questions and show work. Several questions require you to select a distribution that best models the situation. Please state why you have selected the distribution you are using. You may use Excel/Minitab to verify answers. 1. A university operates a flu clinic on campus to diagnose students and refer them to appropriate care. Today, at the height of flu season,...
1, (a) Suppose that 60% of a large population know how the word 'accommodation' is spelled. Five people were selected at random from the population and asked i. What is the probability that exactly 2 of the 5 spelled the word correctly? ii. What is the probability that at least one person spelled the word correctly? ii. Given that the first person spelled the word correctly, what is the proba- (17 marks) (b) It is believed that fatalities due to...
Answer the following questions about conditional probability and Bayes theorem a. You roll 2 dice and record the sum i. Write the sample space ii. What is the probability of the sum being 10? ii. What is the probability that at least one of the die values was a 6 given that the sum was greater than or equal to 7?
2) The Poisson distribution is a good approximation to the binomial when n is large, p is small, and the Poisson parameter λ is set equal to np. You can do this problem with paper, pencil, and a calculator. Report answers to parts a) and b) to four decimal places a) Suppose that a disease affects approximately one out of 10,000 people. Assuming independence of people getting the disease, what is the probability that ina population of 100,000 people, there...
(b) A 220 V single-phase electrical installation is wired up by 2 nos. of 25 mm² single-core PVC cu. cables from distribution board to a load. A 50 A Type B MCB is used for the earth fault protection. 25mm single-core PVC Copper Cable SOA Type BMcB Z Metallic Enclosure 220V 50Hz Load Metallic Parts fault N 45m "H E Z 6mm single-core PVC Copper Cable Figure B4(b) Given that: • the cable length measured from distribution board to load...
3. Assume that X is the number of large earthquakes (with magnitude 2 7.5) occurring in each year. A statistician suggested that X follows a Poisson distribution with parameter ?. A Poisson distribution with parameter ? has expectation ? and variance ?. Suppose a data set 1,22,.,^n is the realization of a random sample Xi,..., Xn from this distribution. One can use either ? 1-X, or ?2-1 ?21 (Xi-%)2 to estimate the parameter ?. (a) Find Eli21 (b) Are both...
Appreciate if you can answer this ONE QUESTION
COMPLETELY and give me a detailed working with explanation
for me to understand. Once completed so long as my doubts are
cleared and the solutions are correct, I will definitely vote up.
Some of the question are similiar to take a look carefully before
you answer as it's very important for me.
Thank you
Question 1 A laboratory test is 95 % correct in detecting a certain disease when the disease is...
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