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Autos arrive at a toll plaza located at the entrance to a bridge at a rate of 10 per minute during the 5:00-to-6:00 P.M. hour. Determine the following probabiiies assuming that an auto has just arrived. a. What is the probability that the next auto will arrive within 6 seconds (0.1 minute)? b. What is the probability that the next auto will arrive within 3 seconds (0.05 minute)? c. What are the answers to (a) and (b) if the rate of arrival of autos is 60 per minute? d. What are the answers to (a) and (b) if the rate of arrival of autos is 30 per minute? a. The probability that the next auto will arrive within 6 seconds is (Round to four decimal places as needed.) b. The probability that the next auto will arrive within 3 seconds is Round to four decimal places as needed.) c. The probability that the next auto will arrive within 6 seconds is (Round to four decimal places as needed.) The probability that the next auto will arrive within 3 seconds is (Round to four decimal places as needed.) d. The probability that the next auto will arrive within 6 seconds is (Round to four decimal places as needed.) The probability that the next auto will arrive within 3 seconds is (Round to four decimal places as needed.)

math   Statistics-And-Probability   
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et x be e Expoentiod diStributon coith pasameter IO .. The probability #xd ferert auto csin anive ω、thin 6 Seconds o.10 mine is - C10 x o lo) p (X00 6321 he probobiityo the nex auto Co 05) mirute is assi ve coithin 8 Seconds O 60 65 p(X < 0.05)。。. 3935 ket x be tbe hponential dist button coit- (60x o to) 1-0. 00241815 -)|PCX < 0-10) 0.9195 : The probabiGt tbat十te next auto cei)) arrive coithin B Seconds (0.05 min) i s (Go x o 05) PCrso05) 0.9508 d) cul形の 6 Sec. - (30 xo.lo 3 1-0, 049 pxso I0 0.9502s) Theprobabiüty tbat fene at auto collla101 ve toitfin Здес Co. oxin is (30 x O 05)

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