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lareynademividp0a99r
18.07.2020 •
Mathematics
Toll booths on the New York State Thruway are often congested because of the large number of cars waiting to pay. A consultant working for the state concluded that if service times are measured from the time a car stops in line until it leaves, service times are exponentially distributed with a mean of 2.7 minutes. What proportion of cars can get through the toll booth in less than 3 minutes?
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Ответ:
The proportion of cars can get through the toll booth in less than 3 minutes is 67%.
Step-by-step explanation:
Let the random variable X be defined as the service times at a tool booth.
The random variable X follows an Exponential distribution with parameter μ = 2.7 minutes.
The probability density function of X is:
Compute the probability that a car can get through the toll booth in less than 3 minutes as follows:
Thus, the proportion of cars can get through the toll booth in less than 3 minutes is 67%.
Ответ:
the second one B
Step-by-step explanation: hope this help