CameraWorld estimates that the demand for the camera follows a Poisson distribution with a mean of 15 cameras. a) If CameraWorld wants to maximize its expected profit, how many cameras should the store buy from Nikon? b) If they buy that many cameras, what is the expected number of cameras that they sell before the next model comes out?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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e) What is the probability that they will sell all of the cameras that they bought
from Nikon if they buy the number you found in part (a)?
f) What is the probability that they will be left with 8 or more cameras to return
to Nikon when the next model comes out?
Transcribed Image Text:e) What is the probability that they will sell all of the cameras that they bought from Nikon if they buy the number you found in part (a)? f) What is the probability that they will be left with 8 or more cameras to return to Nikon when the next model comes out?
CameraWorld is planning to sell the new high-end Nikon mirrorless camera. The
camera will sell for $5500. Nikon wants to know, in advance, how many they will
sell to retail stores and so they have instituted a policy under which stores can only
place a single order for the new camera. Nikon sells the camera to CameraWorld for
$2000 and offers CameraWorld a $250 credit for any unsold cameras when a newer
model comes out. (The unsold cameras are then returned to Nikon for reprocessing
and extraction of critical components that can be reused in subsequent cameras.)
CameraWorld estimates that the demand for the camera follows a Poisson
distribution with a mean of 15 cameras.
a) If CameraWorld wants to maximize its expected profit, how many cameras
should the store buy from Nikon?
b) If they buy that many cameras, what is the expected number of cameras that
they sell before the next model comes out?
Transcribed Image Text:CameraWorld is planning to sell the new high-end Nikon mirrorless camera. The camera will sell for $5500. Nikon wants to know, in advance, how many they will sell to retail stores and so they have instituted a policy under which stores can only place a single order for the new camera. Nikon sells the camera to CameraWorld for $2000 and offers CameraWorld a $250 credit for any unsold cameras when a newer model comes out. (The unsold cameras are then returned to Nikon for reprocessing and extraction of critical components that can be reused in subsequent cameras.) CameraWorld estimates that the demand for the camera follows a Poisson distribution with a mean of 15 cameras. a) If CameraWorld wants to maximize its expected profit, how many cameras should the store buy from Nikon? b) If they buy that many cameras, what is the expected number of cameras that they sell before the next model comes out?
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