A sociologists has been studying criminal justice system in large metropolitan city. She has found that throughout a five year study that the mean time between the person being arrested as well as their trial is normally distributed with mean of 190 days and standard deviation of 18 days.
Part A: Based upon the above information, determine the probability that a randomly selected person will go to trial less than 179 days after they are arrested? Show the graph of the standard normal distribution. Use 4 decimal places for final answer.
Part B: Also based on the above information, what is the probability that a randomly selected person will have to wait between 175 and 223 days before they go to trial? Show the graph of the standard normal distribution. Use 4 decimal places for your final answer.