Suppose we have a random variable X that measures the amount of time between fish swimming by a particular location in a
Posted: Wed Dec 08, 2021 5:12 am
Suppose we have a random variable X that measures the amount of time between fish swimming by a particular location in a river. Y measures the total number of fish that swim by in a given length of time. The mean rate of the process is that 1 fish passes every 12 minutes. (a) What is the distribution of X? Give parameters. (b) What is the distribution of Y? Give parameters. 2 (c) Find P(X < 1 min). (d) Find P(Y > 2 fish per hour). (e) Given that no fish swam by in the first 2 minutes, what is the probability that one will swim by in the next four minutes?