Aaron, Bob, and Carl are the proud owners of Three Brothers Motorcycles. During business hours, customers arrive at a rate of 0.49 customers per hour. Business hours are from 8am until 6pm, with a lunch hour from noon until 1pm, during which the shop is closed. Let X be the number of customers that arrive before lunchtime. Then X has a Poisson distribution with parameter ) = 1.96. The brothers love to make bets among themselves. Before opening one morning, Aaron says, "I bet we have exactly 2 customers come in before lunch". Bob replies, "I bet we have fewer than 2 customers before lunch". Carl chimes in, "I bet you guys are both wrong"! At this point the three brothers point at each other and exclaim in unison: "You're on! We have a bet". Determine each brothers chance of winning. P( Aaron wins the bet ) = P(X = [Select] [ Select ] P( Bob wins the bet ) = P(X< [Select] v) = [ Select ] P( Carl wins the bet ) = P( X > [Select] v) = [ Select]

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Aaron, Bob, and Carl are the proud owners of Three Brothers Motorcycles. During business hours, customers
arrive at a rate of 0.49 customers per hour. Business hours are from 8am until 6pm, with a lunch hour from noon
until 1pm, during which the shop is closed. Let X be the number of customers that arrive before lunchtime. Then
X has a Poisson distribution with parameter A = 1.96.
The brothers love to make bets among themselves. Before opening one morning, Aaron says, "I bet we have
exactly 2 customers come in before lunch". Bob replies, "I bet we have fewer than 2 customers before lunch". Carl
chimes in, "I bet you guys are both wrong"! At this point the three brothers point at each other and exclaim in
unison: "You're on! We have a bet".
Determine each brothers chance of winning.
P( Aaron wins the bet ) = P(X = [Select ]
v) =
[ Select ]
P( Bob wins the bet )
P(X< [Select]
v) = [ Select]
P( Carl wins the bet ) = P( X > [Select]
[ Select ]
Transcribed Image Text:Aaron, Bob, and Carl are the proud owners of Three Brothers Motorcycles. During business hours, customers arrive at a rate of 0.49 customers per hour. Business hours are from 8am until 6pm, with a lunch hour from noon until 1pm, during which the shop is closed. Let X be the number of customers that arrive before lunchtime. Then X has a Poisson distribution with parameter A = 1.96. The brothers love to make bets among themselves. Before opening one morning, Aaron says, "I bet we have exactly 2 customers come in before lunch". Bob replies, "I bet we have fewer than 2 customers before lunch". Carl chimes in, "I bet you guys are both wrong"! At this point the three brothers point at each other and exclaim in unison: "You're on! We have a bet". Determine each brothers chance of winning. P( Aaron wins the bet ) = P(X = [Select ] v) = [ Select ] P( Bob wins the bet ) P(X< [Select] v) = [ Select] P( Carl wins the bet ) = P( X > [Select] [ Select ]
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