Flaws occur in telephone cable at the average rate of 4.4 flaws per km of cable.calculate the following probabilities. (Make sure of binomial,poison and exponential distributions.) ( A)what is the probability of 1 flaw in 100m of cable? (B)what is the probability of more than 3 flaws in 250m of cable? (C)what is the probability that the distance between flaws exceed 500m? (D)in ten 200m length of cable ,what is the probability that 8 or more are free of flaws?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Flaws occur in telephone cable at the average rate of 4.4 flaws per km of cable.calculate the following probabilities. (Make sure of binomial,poison and exponential distributions.)
( A)what is the
(B)what is the probability of more than 3 flaws in 250m of cable?
(C)what is the probability that the distance between flaws exceed 500m?
(D)in ten 200m length of cable ,what is the probability that 8 or more are free of flaws?
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