Answer to Question #60349 in Statistics and Probability for Lori

Question

TubeView, a digital television distribution company based in Gatineau (QC), hires a marketing firm to gauge the satisfaction levels of their customers. The CEO of TubeView has claimed that past polls have suggested that the customer satisfaction level is at 90%.
If this claim was true, what is the probability that in a random sample of 12 customers:
a) Exactly 8 customers are satisfied with TubeView’s service?
b) At least 8 customers are satisfied with TubeView’s service?
c) All of the customers they contact are satisfied with TubeView’s service?
d) At most 2 customers are not satisfied with TubeView’s service?
e) P(5 ≤ X < 9) where X = satisfied customer?