Binomial Probability Problems 1) Records of a health insurance company show that 3D% of its policyholders over SCI submit a claim (hiring the year. 15 policyholders over St] are selected at random; what is the probability that at least It] will submit a claim during the year? 1What is the probability that 4 will submit a claim during the year? How many do you expect to submit a claim. What is the standard deviation? 2} Plastic is now surpassing aluminum as the packaging material of choice for soft drinks. According to a recent article, Bux of all new vending business is going to plastic- H a random sample of 10 new vending businesses is selected, what are \"32), P{X:5), and P{X9}? Poisson Probability Problems 3) The maternitywardataeertainhospitalinacertain country inAi'ricaisone ofthe busiest in the world with an average of births per day. Let X: the mimber ofbirths in an hour. a. Find the mean and standard deviation ofX. b. \"that is the probability that the maternity ward will deliver three babies in one hour? c. What is the probability that the maternity ward will deliver at most three babies in one hour? d. 1What is the probability that the maternity ward will deliver more than ve babies in one hour