The website, herecomestheguide.com, suggested that couples planning their wedding should expect eighty percent of those who are sent an invitation to respond that they will attend. Rich and Stacy are planning to be married later this year. They plan to send 200 invitations. a. How many guests would you expect to accept the invitation? b. What is the standard deviation? c. What is the probability 150 or more will accept the invitation? d. What is the probability exactly 150 will accept the invitation?

A study conducted by the nationally known Taurus Health Club revealed that 30% of its new members are 15 pounds overweight. A membership drive in a metropolitan area resulted in 500 new members. a. It has been suggested that the normal approximation to the binomial be used to determine the probability that 175 or more of the new members are 15 pounds overweight. Does this problem qualify as a binomial problem? Explain. b. What is the probability that 175 or more of the new members are 15 pounds overweight? c. What is the probability that 140 or more new members are 15 pounds overweight?