Question

The number of times Larry David gets called "bald" in a Curb Your Enthusiasm episode follows a poisson distribution with a mean of 3. The number of times Larry David gets into an argument follows a poisson distribution with a mean of 4. What is the probability Larry David gets in four arguments and gets called bald four times? A .19 B .03 C .17 D .01

Answer 1

The correct option is B .03 [ANSWER]

Explanation:

Let X and Y denote the random variables representing the number of times Larry David gets called "bald" and the number of times Larry David gets into an argument respectively.

Now, we are given that:

X ~ Poisson(3)

Y ~ Poisson(4)

Thus, the probability mass functions of X and Y are given by:

Moreover, we can assume that X and Y are independent.

Now, the probability that Larry David gets in four arguments and gets called bald four times is given by:

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