I need help answering these questions ASAP please thank you in advance

11 The number of bags arriving on the baggage claim conveyor belt in a 3 minute time period would best be modeled with the C Poisson distribution A binomial distribution A exponential distribution C\"; hypergeometric distribution C\"; hyperbinomial distribution 12 Life tests performed on a sample of 13 batteries of a new model indicated: (1) an average life of 75 months, and (2) a standard deviation of 5 months. Other battery models, produced by similar processes, have normally distributed life spans. The 98% condence interval for the population mean life of the new model is memwm 961.60 to 88.41 ($79.86 to 81.28 (7-71.28 to 78.72 (771.77 to 78.23 13 If x is a binomial random variable with n=10 and p=0.8, what is the probability that x is equal to 4? r\" .0063 IT\" .232 I .0055 {\"1 .994 I\"? .124 14 A large industrial rm allows a discount on any invoice that is paid within 30 days. Of all invoices, 10% receive the discount. In a company audit, 10 invoices are sampled at random. The probability that fewer than 3 of the 10 sampled invoices receive the discount is approximately IAI 0.9298 A 0.057 IAI 0.1937 IAI 0.001 IAI 0.3486 15 According to the central limit theorem, for samples of size 64 drawn from a population with ,u = 800 and a = 56, the mean of the sampling distribution of sample means would equal 08 C? 80 O 800 CT 100