Would like to check my answers to these to questions please: A) The number of cr

Question

Would like to check my answers to these to questions please:

A) The number of crimes committed in a particular area during the hours 12pm to 3am is often a Poisson random variable. Suppose that the mean number of crimes committed in the street during this period is 1.5. The probability that at least two crimes will be committed between 1am and 2 am is equal to:

(1) 0.0902
(2) 0.9856
(3) 0.8088
(4) 0.4422
(5) 0.0144

B) The rate at which police are issuing tickets at a roadblock follows a Poisson distribution with a mean of 3 per hour. Which of the following assertions is incorrect?

(1) The expected number of tickets issued in two hours is 6.
(2) The probability that no tickets will be issued in the next 1.5 hours is 0.0498.
(3) The probability that no more than 2 tickets will be issued in an hour is 0.4232.
(4) The standard deviation of tickets issued in 1 hour is 1.7321.
(5) E(X) = V ar(X).

Explanation / Answer

1) 3 (.223+.334+.251) 2) 4 This is the standard deviation of the entire distribution.

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