Final answer:
To compute P(6) in a Poisson process with a mean of 5, use the probability mass function (PMF) formula P(X=k) = (e^-λ * λ^k) / k!. Substitute λ=5 and k=6 into the formula to find the probability.
Step-by-step explanation:
The given problem involves a Poisson process with a mean of 5. To compute P(6), we can use the probability mass function (PMF) of the Poisson distribution. The formula for the PMF is P(X=k) = (e^-λ * λ^k) / k!, where X is the random variable and λ is the mean. In this case, λ=5. Substituting k=6 into the formula, we get:
P(X=6) = (e^-5 * 5^6) / (6!)
Using a calculator or software, we can evaluate this expression to find the probability.