What is the answer to part (iv) Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre. (i) Determine the probability of exactly 3 flaws in 1 millimetre of wire. ii) Determine the probability of 10 flaws in 5 millimetres of wire. iii) Determine the probability of at least 2 flaws in 2 millimetres of wire. (iv) What is the expectation and standard deviation for the aforementioned distribution?
What is the answer to part (iv) Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre. (i) Determine the probability of exactly 3 flaws in 1 millimetre of wire. ii) Determine the probability of 10 flaws in 5 millimetres of wire. iii) Determine the probability of at least 2 flaws in 2 millimetres of wire. (iv) What is the expectation and standard deviation for the aforementioned distribution?
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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1YT
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What is the answer to part (iv)
Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre.
(i) Determine the probability of exactly 3 flaws in 1 millimetre of wire.
ii) Determine the probability of 10 flaws in 5 millimetres of wire.
iii) Determine the probability of at least 2 flaws in 2 millimetres of wire.
(iv) What is the expectation and standard deviation for the aforementioned distribution?
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