PLZZZZZZZZZZ HELP ME I REALLY DONT WNA FAIL
1 answer:
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Answer:
a) P(1) = 0.1637
b)
c) E(x) = 0.2
Step-by-step explanation:
If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:
Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:
Additionally, the probability that a disk has at least two missing pulses can be calculated as:
Where .
Then, and
are calculated as:
Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2