Although Borok's Electronics Company has no openings, it still receives an average of 3.2 unsolicited applications per week from people seeking jobs.

1. a. Using the Poisson formula, find the probability that this company will receive no applications next week.
2. b. Let x denote the number of applications this company will receive during a given week. Using the Poisson probabilities table from Appendix B, write the probability distribution table of x.
3. c. Find the mean, variance, and standard deviation of the probability distribution developed in part b.