Question

A manager of an online shopping website finds that on average 10 customers per minute make...

A manager of an online shopping website finds that on average 10 customers per minute make a purchase on Mondays and the number of customers is well approximated by a Poisson distribution.

Let X = the number of customers who make a purchase in a one-minute interval on Monday.

  1. What is the probability that during a one-minute interval on Monday, exactly 4 purchases will be made?
  2. What is the probability that during a one-minute interval on Monday, 4 or less purchases will be made?
  3. What is the probability that during a one-minute interval on Monday, more than 4 purchases will be made?
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

# a)

X~Poi(=10)

Pmf of x is

Probablity that during 1 interval on monday

# a ) exactly 4 purchase will be made

P(X=4) =.018917 Ans

# b

Probablity that during 1 interval on monday  exactly 4 purchase or less purchase will make

------------------------(1) ------ans

# c

Probablity that during 1 interval on monday  more than 4 purchase will make

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