A Transportation related company produced a special RFID vehicle sticker for ETC passage in a toll gate with a probability of 0.01, independently across vehicle stickers; a. What is the probability that there are no more that two RFID vehicle stickers in a set of 100 RFID vehicle stickers? b. How many RFID stickers do need to purchased to make sure that with 95% probability you will find atleast one RFID among the set? c. What probability should the manufacturer employ to make an RFID sticker so that the chance that a car owner finds atleast one RFID sticker in a set of 100 RFID Note: Show full solution if table is needed show the computation of the table use 3 decimal places Topic: Probability Distribution and Queing model (Highway Engineering)

A First Course in Probability (10th Edition)
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ASAP>>Highway Engineering>> 5.3

A Transportation related company produced a special RFID vehicle sticker for ETC
passage in a toll gate with a probability of 0.01, independently across vehicle stickers;
a. What is the probability that there are no more that two RFID vehicle stickers in a set
of 100 RFID vehicle stickers?
b. How many RFID stickers do need to purchased to make sure that with 95% probability
you will find atleast one RFID among the set?
c. What probability should the manufacturer employ to make an RFID sticker so that the
chance that a car owner finds atleast one RFID sticker in a set of 100 RFID
Note: Show full solution if table is needed show the computation of the table use 3
decimal places
Topic: Probability Distribution and Queing model (Highway Engineering)
Transcribed Image Text:A Transportation related company produced a special RFID vehicle sticker for ETC passage in a toll gate with a probability of 0.01, independently across vehicle stickers; a. What is the probability that there are no more that two RFID vehicle stickers in a set of 100 RFID vehicle stickers? b. How many RFID stickers do need to purchased to make sure that with 95% probability you will find atleast one RFID among the set? c. What probability should the manufacturer employ to make an RFID sticker so that the chance that a car owner finds atleast one RFID sticker in a set of 100 RFID Note: Show full solution if table is needed show the computation of the table use 3 decimal places Topic: Probability Distribution and Queing model (Highway Engineering)
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