Remaining time: 175:40 (min:sec) Problem 7. (4 points) The number of pedestrians using a busy crosswalk can be modeled by a Poisson distribution with A = 65.9624 pedestrians per hour. Suppose you randomly pick 48 different one-hour time frames during which you observe the crosswalk. Let X be the number of pedestrians you observe in each of these 48 times frames. Use this information to answer the following questions. a. Describe the distribution of X and the distribution of the sample mean X. Round all values to at least five decimals if necessary The distribution of X is ? with a mean ux of pedestrians and a standard deviation o x of pedestrians. The distribution of X is ? with a mean My of pedestrians and a standard deviation ox of pedestrians. b. What is the probability that the average number of pedestrians using the crosswalk per hour in this sample will be between 65.21 and 67.58? Answer: Round to at least five decimals if necessary c. What is the probability that the number of pedestrians using the crosswalk in a single one-hour time frame will be more than 59? Answer: Round to at least five decimals if necessary d. 57% of the time, the average number of pedestrians using the crosswalk for a sample of 48 one-hour time frames will be at most how many? Answer: pedestrians. Round to at least five decimals if necessary