2. Reaction times to a specific stimulus in a cognitive experiment are normally distributed with a mean of 250 milliseconds and a standard deviation of 40 milliseconds. Suppose the researcher randomly selects a single participant to sample and record the reaction time. What is the mean and standard deviation of the distribution? Include variables as part of the solution What is the probability that a randomly selected participant has a reaction time faster than 200 milliseconds? MAT 152 c. If a researcher collects a sample of 64 participants, what is the mean and standard deviation of the sampling distribution of average reaction times? Include variables as part of the solution. d. what is the probability that the average reaction time of the 64 participants is less than 240 milliseconds? e. Find the 60th percentile of the sample means ????̅.