What is P(Y = 15)? If the rate of orders falls to 2.1 per minute: b. What is P(X = 1)? c. What is the variance for X?
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A company's marketing department claims that the number of orders that are placed using their
e-commerce store has a Poisson distribution with mean of 3.5 orders per minute. Let X be the number of
orders in 1 minute. Let Y be the number of orders in 5 minutes. If the claim of a mean of 3.5 orders per
minute is true
a. What is P(Y = 15)?
If the rate of orders falls to 2.1 per minute:
b. What is P(X = 1)?
c. What is the variance for X?
It is given that
X follows Poisson with parameter = 3.5.
Also,
Y denotes the number of order in 5 minutes then
Y follows Poisson with parameter = 5 × 3.5 = 17.5
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