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Name:1.The lengths of time bank customers must wait for a teller are normally distributed, with a mean of 3minutes and a standard deviation of 2 minute.a. What proportion of bank customers waits between 3 and 4.5 minutesb.What percentage wait more than 4 minutes?c. What proportion waits between 2 and 3.5 minutes?d. What percentage wait less than 1 minute?2. To estimate the medical charges for an appendectomy Blue Star Insurance has data from a randomsample of 75 patients. The sample mean cost is $410, with a sample standard deviation of $90.Construct a 95% confidence interval for the population mean cost.We are 95% confident that the populations mean costs of patientsâ medical charges for an appendectomythrough Blue Star Insurance range is between _____________ and ________________3.DemocratRepublicanIndependent101565Los Angeles 352575NorthCarolina2070DC60A group of voters from 3 states were selected and the results are above.What is the probability of selecting a random voter from Los Angeles, given that the voter was arepublican?a).357b).417c).267d).2004..DemocratRepublicanIndependent101565Los Angeles 352575NorthCarolina2070Maryland60A group of voters from 3 states were selected and the results are above.What is the probability of selecting a random voter that is from North Carolina or a Democrat?a).093b).520c).613d).3575.In 20 pulls from a deck of playing cards, 20 cards were red. What is the probability that on the 21 stpull the card will be red?a).5000b).2500c).000000477d).03125