I prefer my duck.
(a)
(b) do we care which waits how long????
because there are 3! rearrangements of this (multinomial)
or if we don't care which person does what here
where
and
Sorry, but I'm afraid I have two more problems.
The following function represents queue time in minutes of people in a restaurant.
for
x=0 otherwise
a) What is the probability that a traveller will have to queue for more than 2 minutes? a:0.9216
b) 3 people go independantly to the restaurant. Find the probability that one has to queue for less than one minute, another for between one and two minutes, and the third for more than two minutes.
a:0.0064
Any help is appreciated.
I'm not sure where I need to integrate between, and the seond question just looks hideous.