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In: Statistics and Probability

The time between car arrivals at an inspection station follows an exponential distribution with V (x)...

The time between car arrivals at an inspection station follows an exponential distribution with V (x) = 22 minutes.
1) Calculate the probability that the next car will arrive before the next 10 minutes.
2) Calculate the probability of receiving less than 5 cars during the next hour
3) If more than half an hour has passed without a car being presented, what is the probability that the employee will remain unemployed for at least 10 minutes?
4) If the employee wants to take a break, what is the maximum time that the break must last so that the probability of the next client arriving and not finding the employee in his position is less than or equal to 5%?
5) If we take the times between arrivals for the next 40 minutes and calculate the average, what is the probability that the average time is less than 20 minutes? Under 22 minutes?

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thank you

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orchestra answered 1 year ago
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