(Solved): The random variable \( X \) follows a Poisson process with the given mean. Assuming \( \mu=6 \), co ...

The random variable \( X \) follows a Poisson process with the given mean. Assuming \( \mu=6 \), compute the following. (a) \( P(6) \) (b) \( P(x<6) \) (c) \( P(X \geq 6) \) (d) \( P(3 \leq x \leq 5) \) (a) \( P(6) \approx \) (Do not round until the final answer. Then round to four decimal places as needed.)