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The number of baskets (either team) in a NBA basketball game is modeled using a Poisson...

The number of baskets (either team) in a NBA basketball game is modeled using a Poisson process with rate 1.5 per minute.

(a) What is the distribution for the number of baskets in the first quarter (12 minutes)? Write down the pmf.

(b) What is the distribution for the number of baskets in the whole game (assume game length of 48 minutes, i.e. 12 minutes per quarter)? Write down the pmf.

(c) Write down the formula for the probability that there are no baskets in the first quarter.

(d) What is the probability that there are 60 or more baskets in a game? You should use the R command ppois to get the value, and write down the line of code and the numerical result.

Math   Statistics-And-Probability   
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