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Weak spots occur in a certain manufactured cable on the average of one spot per 1000m....

Weak spots occur in a certain manufactured cable on the average of one spot per 1000m. Assuming a Poisson distribution of weak spots in any given length of cable, what is the probability that

(a) a 2000m roll will have at most 3 weak spots?

(b) a 1000m roll will have no weak spots?

(c) In a box of seven 2000m rolls, for 5 of them, each has just one weak spot, and for the other two, each has two or more weak spots?

Math   Statistics-And-Probability   
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