Final answer:
The probability that x is greater than 6 can be found using the complement rule. First, find the probability that x is less than or equal to 6. Then, subtract this probability from 1 to get the desired probability.
Step-by-step explanation:
To find the probability that x is greater than 6, we can use the complement rule. First, we find the probability that x is less than or equal to 6, which is given as P(x ≤ 6) = poissoncdf(5.5, 6) ≈ .6860. Then, we subtract this probability from 1 to get the probability that x is greater than 6. Therefore, P(x > 6) = 1 - P(x ≤ 6) = 1 - .6860 = .3140.