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4. A study was done about violence against prostitutes and the symptoms of the posttraumatic stress that they developed. The age range of the prositutes was 14 to 61. The mean age was 30.9 years with a Standard deviation of nine years. a) in sample of 25 prostitutes, what is the probability that the mean age of the prostitutes is less than 35 ? b) Is it likely that the mean age of the sample group could be more than 50 years ? Interpret the results. ( ) In a sample of 49 prostitutes, what is the probability that the Sum of the ages is no Less than 1,600? d ) Is it likely that the sum of The ages of The 49 prostitutes is at most 1,595 ? Interpret The results. 2) Find The 95th percentile for the sample mean age of 65 prostitutes. Interpret the results. f) Find the goth percentile for the sum of the ages of 65 prostitutes Interpret the results