The number of car accidents that happen in a specific region

**follows the Poisson distribution with a rate of 0.5 car accidents per day**

Calculate (approximately) the probability to wait more than 60 days for the occurrence of the 40th car accident.

Consider X=number of car accidents. Then X follows Poisson distribution with λ=0.5 and P(X=1)=0.3032

I consider the random variable Y=number of days till the 40th car accident

Then [FONT=MathJax_Math-italic]Y [/FONT][FONT=MathJax_Math-italic]follows [FONT=MathJax_Main]Negative Binomial(k=40,p=0.3032) [/FONT][FONT=MathJax_Main]and the asked probability is [FONT=MathJax_Math-italic]P(Y>60)[/FONT][FONT=MathJax_Math-italic].

Is my solution right?[/FONT][/FONT][/FONT]