Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution).
Let X denotes the inter-arrival time between two arrivals of auto.
X ~ Exponential(51/60) or X ~ Exponential( 0.85)
The probability density function of X is
The cumulative density function of X is
If an auto has just arrived, what is the probability that the next auto will arrive within 3 seconds = 3/60 = 0.05 minutes
ans-> B. 0
Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate...
Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution). If an auto has just arrived, what is the probability: a) That the next auto will arrive within 3 seconds? b) That the next auto will arrive in the next 3 to 10 seconds? c) That the next auto will arrive after 2 seconds?
Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution). If an auto has just arrived, what is the probability that the next auto will arrive in the next 3 to 10 seconds? 0.078 0.024 1.000 0.000
Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution). If an auto has just arrived, what is the probability that the next auto will arrive after 2 seconds? 0.000 1.000 0.183 0.632
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