Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter μ = 0.4. (Round your answers to three decimal places.)
(a) What is the probability that a disk has exactly one missing
pulse?
(b) What is the probability that a disk has at least two missing
pulses?
(c) If two disks are independently selected, what is the
probability that neither contains a missing pulse?
According to the given question, a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter μ = 0.4.
Therefore, follows Poisson
distribution with the probability mass function,
where
(a) Therefore the probability that a disk has exactly one missing pulse is determined as:
The required probability that a disk has exactly one missing
pulse
(b) Therefore the probability that a disk has at least two missing pulses:
Therefore
the required probability that a disk has at least two missing
pulses
(c) If two disks are independently selected, therefore the probability that neither contains a missing pulse is determined as:
The probability that the first disk has no missing pulse as
The probability that the second disk also has no missing pulse as
Therefore as the two disks are independently selected, therefore the probability that neither contains a missing pulse , is determined as:
Therefore the required probability that the probability that
neither contains a missing pulse is
Consider writing onto a computer disk and then sending it through a certifier that counts the...
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter ? = 0.6. (Round your answers to three decimal places.) (a) What is the probability that a disk has exactly one missing pulse? (b) What is the probability that a disk has at least two missing pulses? (c) If two disks are independently selected, what is the probability that neither contains a...
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter u = 0.5. (Round your answers to three decimal places.) (a) What is the probability that a disk has exactly one missing pulse? (b) What is the probability that a disk has at least two missing pulses? (c) If two disks are independently selected, what is the probability that neither...
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