Exponential Probability Between 12 : 00 PM and 1 : 00 PM, cars arrive atCitibank's drive-thru at the rate of 6 cars per hour ( 0.1 car per minute). The following formula from probability can be used to determine the probability that a car will arrive within t minutes of 12 : 00 PM. F ( t ) = 1 - e − 0.1 t Determine how many minutes are needed for the probability to reach 50 % . Determine how many minutes are needed for the probability to reach 80%. Is it possible for the probability to equal 100 % ? Explain.
Exponential Probability Between 12 : 00 PM and 1 : 00 PM, cars arrive atCitibank's drive-thru at the rate of 6 cars per hour ( 0.1 car per minute). The following formula from probability can be used to determine the probability that a car will arrive within t minutes of 12 : 00 PM. F ( t ) = 1 - e − 0.1 t Determine how many minutes are needed for the probability to reach 50 % . Determine how many minutes are needed for the probability to reach 80%. Is it possible for the probability to equal 100 % ? Explain.
Solution Summary: The author analyzes the probability of a car arriving at Citibank's drive thru at the rate of 6 cars per hour.
Exponential Probability Between
12
:
00
PM and
1
:
00
PM, cars arrive atCitibank's drive-thru at the rate of
6
cars per hour (
0.1
car per minute). The following formula from probability can be used to determine the probability that a car will arrive within
t
minutes of
12
:
00
PM.
F
(
t
)
=
1
-
e
−
0.1
t
Determine how many minutes are needed for the probability to reach
50
%
.
Determine how many minutes are needed for the probability to reach 80%.
Is it possible for the probability to equal
100
%
? Explain.
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