kennyjortiz
24.02.2020 •
Mathematics
Michael takes the 7:30 bus every morning. The arrival time of the bus at the stop is uniformly distributed in the interval [7:27, 7:37]. Michael’s arrival time at the stop is also uniformly distributed in the interval [7:25, 7:40]. Assume that Michael’s and the bus’s arrival times are independent random variables. (a) What is the probability that Michael arrives more than 5 minutes before the bus? (b) What is the probability that Michael misses the bus?
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Ответ:
The 3rd and 4th choices are appropriate.
_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.