- #1
Darth Frodo
- 212
- 1
Homework Statement
During the day, cars pass along a point on a remote road at an average rate of one per 20 minutes.
Calculate the probability that;
(i) in the course of an hour no car passes;
(ii) in the course of 30 minutes exactly 4 cars pass;
Homework Equations
[itex]P(X = x) = \frac{e^{-\lambda}\lambda^{x}}{x!}[/itex]
The Attempt at a Solution
[itex]\lambda = 3[/itex]
[itex]P(X = 0) = e^{-3} = 0.0497[/itex] My question: In part 2 [itex]\lambda = 1.5[/itex]. Can [itex]\lambda[/itex] be a Real number or must it be an integer? I assume it can be any number as [itex] E(X) [/itex] does not necessarily have to be in the support of X.
Thanks.