Homework: Module 12 Personalized Homework (6.3-6.4) Save Score: 0 of 1 pt 6.3.11

Question

Homework: Module 12 Personalized Homework (6.3-6.4) Save Score: 0 of 1 pt 6.3.113-GOC following formula 11 of 18 (8 complete) ? HW Score: 38.89%, 7d Question Help Between 12 00 PM and 1:00 PM, cars arrive at a local bank's drive-thru at the rate of 2 cars per hour (0.03 car per minute). The from probability can be used to determine the probability that a car will arrive within t minutes of 12:00 PM F-100 Use this information to answer the questions given below in parts (aHe) (al) What is the probability that a car will arive within 30 minutes of 1200 PM (that is, before 12.30 PM? F(30) ? (Round to three decimal places) Enter your answer in the answer box and then cick Check Answer O Type here to search

Explanation / Answer

Answer :

The formula to determine the probability of a car that will arrive within t minutes of 12.00 PM is

F(t) = 1 - e-0.03t

(a) The probability that a car will arrive within t minutes of 12.00 PM is

F(30) = 1-e-(0.03)(30) = 1- e-0.9

= 0.593

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