SOLUTION: An Airline in a small city has 5 departures eachday.It is known that any given flight has a probability of 0.3 of departing late. For any given day find that a)no flights d

Question 327959: An Airline in a small city has 5 departures eachday.It is known that any given flight has a probability of 0.3 of departing late. For any given day find that a)no flights depart late
b)all flights depart late and
c)three or more depart on time
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a) P(All on-time)=
.
.
.
b) P(All late)=
.
.
.
c)Look at the outcomes of 2 or fewer late departing flight of the 2^5 possible outcomes (O- on time, L-late).
O O O O O
O O O O L
O O O L O
O O O L L
O O L O O
O O L O L
O O L L O
O L O O O
O L O O L
O L O L O
O L L O O
L O O O O
L O O O L
L O O L O
L O L O O
L L O O O
There are 16 out of 32 possible flights that have 2 or fewer late departing flights.
0 Late=>1 outcome,
1 Late=>5 outcomes,
2 Late=>10 outcomes,
P=
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