The number of flaws on a VHS magnetic tape produced continuously at a factory follows a Poisson distribution with an average of 0.01 flaws per meter. A standard VHS cassette tape contains 250 meters of magnetic tape.
a) What is the probability that there are at least two flaws in a single VHS cassette tape?
b) What is the probability that there are no flaws in a single VHS cassette tape; that is, a tape is flawless?
c)In a random sample of 20 cassettes, what is the probability that at least two of them are flawless?
Any help would be appreciated.
Thank You for helping... I just wanna make sure i understand correctly,
a)P(x=1) =0.21 (table 2 gives 0.287)
P(x=0) =0.08 (table 2 gives 0.082)
Therefore there is a 63% chance that atleast 2 flaws in a single VHS tape.
b)P(x=0) = 0.082
c) μ = 1.64
P(x>1) = 1-(.318+.194) =.488
P.S. I used P (x=k)= [(μ^k)(e^-μ)]/k!