Homework Help is Here – Start Your Trial Now!
Math
Statistics
c) The number of flaws in a new brand of fibre optic cable is known to follow a Poisson distribution, with a mean of 2 flaws per 100 metres of cable. i. Use the output below to determine the probability of observing 5 flaws in 100 metres of cable, i.e. P(X = 5) dpois (5, lambda = 100) [1] 3.100063e-36 dpois (5, lambda = 2) [1] 0.03608941 dpois (2, lambda = 5) [1] 0.08422434 dpois (100, lambda = 5) [1] 5.695402e-91 ii. Use the output below to determine the probability of at least 3 flaws in 100 metres of cable, i.e. P(X > 3) sum (dpois (0:2, lambda = 2)) %3D [1] 0.6766764 1-sum (dpois (0:2, lambda = 2)) [1] 0.3233236 sum (dpois (0:2, lambda = 3)) [1] 0.4231901 1-sum (dpois (0:2, lambda = 3)) [1] 0.5768099

c) The number of flaws in a new brand of fibre optic cable is known to follow a Poisson distribution, with a mean of 2 flaws per 100 metres of cable. i. Use the output below to determine the probability of observing 5 flaws in 100 metres of cable, i.e. P(X = 5) dpois (5, lambda = 100) [1] 3.100063e-36 dpois (5, lambda = 2) [1] 0.03608941 dpois (2, lambda = 5) [1] 0.08422434 dpois (100, lambda = 5) [1] 5.695402e-91 ii. Use the output below to determine the probability of at least 3 flaws in 100 metres of cable, i.e. P(X > 3) sum (dpois (0:2, lambda = 2)) %3D [1] 0.6766764 1-sum (dpois (0:2, lambda = 2)) [1] 0.3233236 sum (dpois (0:2, lambda = 3)) [1] 0.4231901 1-sum (dpois (0:2, lambda = 3)) [1] 0.5768099

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
See similar textbooks
icon
Related questions
Question

please :)

c) The number of flaws in a new brand of fibre optic cable is known to follow a Poisson distribution, with a mean of 2 flaws per 100 metres of cable. i. Use the output below to determine the probability of observing 5 flaws in 100 metres of cable, i.e. P(X = 5) dpois (5, lambda = 100) [1] 3.100063e-36 dpois (5, lambda = 2) [1] 0.03608941 dpois (2, lambda = 5) [1] 0.08422434 dpois(100, lambda = 5) [1] 5.695402e-91 ii. Use the output below to determine the probability of at least 3 flaws in 100 metres of cable, i.e. P(X > 3) sum (dpois (0:2, lambda 2)) %3D [1] 0.6766764 1-sum (dpois (0:2, lambda = 2)) [1] 0.3233236 sum (dpois (0:2, lambda = 3)) [1] 0.4231901 1-sum (dpois (0:2, lambda = 3)) [1] 0.5768099
Transcribed Image Text:c) The number of flaws in a new brand of fibre optic cable is known to follow a Poisson distribution, with a mean of 2 flaws per 100 metres of cable. i. Use the output below to determine the probability of observing 5 flaws in 100 metres of cable, i.e. P(X = 5) dpois (5, lambda = 100) [1] 3.100063e-36 dpois (5, lambda = 2) [1] 0.03608941 dpois (2, lambda = 5) [1] 0.08422434 dpois(100, lambda = 5) [1] 5.695402e-91 ii. Use the output below to determine the probability of at least 3 flaws in 100 metres of cable, i.e. P(X > 3) sum (dpois (0:2, lambda 2)) %3D [1] 0.6766764 1-sum (dpois (0:2, lambda = 2)) [1] 0.3233236 sum (dpois (0:2, lambda = 3)) [1] 0.4231901 1-sum (dpois (0:2, lambda = 3)) [1] 0.5768099
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS