Final answer:
To find P(x > 4) for a Poisson distribution, you subtract P(x ≤ 4) from 1, using the correct mean λ for that distribution. P(x > 4) equals 1 - P(x ≤ 4), which can be found using statistical software or tables.
Step-by-step explanation:
To calculate the probability P(x > 4) for a Poisson probability distribution, we need to find the complement of P(x ≤ 4), which covers all possible values less than or equal to 4. To do this, we can use technology to calculate P(x ≤ 4) and subtract this value from 1 to find P(x > 4). For example, if we used a Poisson distribution with a given mean and obtained P(x ≤ 4) = 0.6288, then P(x > 4) would be calculated as 1 - 0.6288 = 0.3712. This provides the probability of having more than 4 occurrences in our Poisson distributed random variable.
For our specific question, where X follows a Poisson distribution with a mean λ (lambda), the probability of X being greater than a certain number can be found using statistical software or tables that are built for such distributions. You have to ensure you're using the correct mean value λ corresponding to your distribution when doing this calculation.