Funtime Amusement park is full of rides. The Midnight Coaster is very popular and the average waiting time 22 minutes. Let M be the amount of waiting time for this ride. a) What is the distribution and parameter(s) for M? b) What is the probability that you will wait 25 minutes for this ride? c) What is the probability that you will wait between 10 and 25 minutes for this ride?

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Funtime Amusement park is full of rides. The Midnight Coaster is very popular and the average waiting time
22 minutes. Let M be the amount of waiting time for this ride.
a) What is the distribution and parameter(s) for M?
b) What is the probability that you will wait 25 minutes for this ride?
c) What is the probability that you will wait between 10 and 25 minutes for this ride?
d) Assuming that you have already waited 15 minutes, what is the probability that your total waiting time
will exceed 33 minutes?
e) The park will close soon and you get in line. 95% of the time you will wait "t" or fewer minutes for the
ride. Find t.
f) You started waiting for the ride at 1:15 pm, and are trying to get to the 2:00 pm
gic show on the other
side of Funtime Amusement park. It will take 12 minutes from the time you board the ride, ride it, exit
this ride and walk to the magic show. What is the probability that you will be on time to the magic show?
Transcribed Image Text:Funtime Amusement park is full of rides. The Midnight Coaster is very popular and the average waiting time 22 minutes. Let M be the amount of waiting time for this ride. a) What is the distribution and parameter(s) for M? b) What is the probability that you will wait 25 minutes for this ride? c) What is the probability that you will wait between 10 and 25 minutes for this ride? d) Assuming that you have already waited 15 minutes, what is the probability that your total waiting time will exceed 33 minutes? e) The park will close soon and you get in line. 95% of the time you will wait "t" or fewer minutes for the ride. Find t. f) You started waiting for the ride at 1:15 pm, and are trying to get to the 2:00 pm gic show on the other side of Funtime Amusement park. It will take 12 minutes from the time you board the ride, ride it, exit this ride and walk to the magic show. What is the probability that you will be on time to the magic show?
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