Activity 3 Instructions: {1} Solve the problems given below. {2} Present a neat and orderly solution 1. A study conducted at George Washington University and the National Institutes of Health examined national attitudes about tranquilizers. The study revealed that the approximately mil-l: believe \"tranquilizers don't really cure anything; they just cover up the real trouble." According to this study. what is the provabllity that at least 3 of the next 5 people selected at random. will be of this option? 2. What is the probability of denying entry to only 2 movie goers under age 15 and below if the cinema Usher checks the IDs of 6 students from among 9 students of which 4 are not of legal age? 3. Records show that Earangay x has tc.oco voting residents. The Barangay officials intend to conduct a survey to get a general opinion about imposing a new sales tax. The Earangay officials projected that mm of the 10,0[l residents are against the new sales tax. Fifteen eligible voters were randomly selected and asked whether they favor or not the new Barangay Tax Ordinance. What is the probability that at most If favor the new tax? 4. An annexation suit is being considered against a country subdivision of 12m residences by a neighboring city. if the occupants of half the residenoes object to being annexed1 what is the probability that in random sample of 1:) at least 3 favor the annexation suit? 5. Among the t] IFtS employees in a large city. only 311] are women. If 11] of the applicants are chosen at random to provide free tax assistance for the residents of this city. use the binomial approximation to the hypergeometric to find the probability that at least 3 women are selected. 6. A nationwide survey of 1T.{l{l seniors by the University of Michigan reveals that almost roar. disapprove of daily pot smoking according to a report in Parade, September 14 1930. If 13 of these seniors are selected at random and asked their opinions, what is the probability that more than 9 but less than 14 disapproved of smoking pot? T. Ten percent of the tools produced in a certain manufacturing process tum out to be defective. Find the probability that in a sample of ten tools chosen at random exactly two will be defective by using: a. \"the Binomial distribution b. \"the Poisson approximation to the binomial distribution