Suppose a machine tracks the number of vehicles that cross a particular bridge on a given day, but the machine is not gu
Posted: Sun Oct 03, 2021 12:57 pm
Suppose a machine tracks the number of vehicles that cross a
particular bridge on a given day, but the machine is not guaranteed
to work perfectly. The machine independently detects each arriving
vehicle with probability p. Suppose also that the number of
vehicles arriving in a given day N is a Poisson random variable
with parameter λ. Let Z be the number of vehicles counted.
What is the probability that Z differs from N by at most two?(I
need all step, and final answer)
particular bridge on a given day, but the machine is not guaranteed
to work perfectly. The machine independently detects each arriving
vehicle with probability p. Suppose also that the number of
vehicles arriving in a given day N is a Poisson random variable
with parameter λ. Let Z be the number of vehicles counted.
What is the probability that Z differs from N by at most two?(I
need all step, and final answer)