Between 12:00 PM and 1:00 PM, cars arrive at a local bank\'s drive-thru at th be
ID: 2912325 • Letter: B
Question
Between 12:00 PM and 1:00 PM, cars arrive at a local bank's drive-thru at th be used to determine the probability that a car will arrive within t minutes of 12:00 PM e rate of 4 cars per hour (0.07 car per minute). The following formula from probability F)1-e-0.07t Use this information to answer the questions given below in parts (a)-(e) (a) What is the probability that a car will arrive within 25 minutes of 12:00 PM (that is, before 12:25 PM)? decimal places) (b) What is the probability that a car will arrive within 50 minutes of 12.00 PM (that is, before 12:50 PM)? F(50)(Round to three decimal places.) (c) What value does F approach as t becomes unbounded in the positive direction? (d) Graph F using a graphing utility. Which graph is the graph of F()? 40 40 40 03/25/18Explanation / Answer
F(t) = 1- e^-0.07t
a) F(25 ) = 1- e^-0.07(25)
F(25 ) = 0.826
b) F(50) = 1- e^-0.07(50)
F(50) = 0.970
c) F approaches 0
d) graph B is correct
e) probability is 50% at 10 minutes
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