I need help on the following problem.

Over roughly the past 100 years, the mean monthly April precipitation in a certain town equaled 3.6 inches with a standard deviation of 1.7 inches. Complete parts a through c below. a. In the wettest April on record, the precipitation equaled 8.9 inches. Find its z-score. If the distribution of precipitation were roughly normal, would this be unusually high? Explain. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The z-score is . This is neither unusual nor usual as this z-score would not be part of a normal distribution, because a normal distribution only has z-scores from - 3 to 3. O B. The z-score is . This is unusually high as nearly all observations fall within 3 standard deviations from the mean for a normal distribution. O C. The z-score is . This is not unusually high as all z-scores are equally common. O D. The z-score is . This is not unusually high as 68% of the observations fall more than 1 standard deviation from the mean for a normal distribution. b. Assuming a normal distribution, an April precipitation of 4.5 inches corresponds to what percentile? The percentile is. (Round to one decimal place as needed.) c. Of the 119 measurements of April precipitation on record, 66.5% fell within one, 97.5% within two, and 99.1% within three standard deviations of the mean. Do you think that the distribution of April precipitation is approximately normal? Why or why not? O A. This distribution is not approximately normal as all measurements are the same distance from the mean for a normal distribution. O B. This distribution is likely approximately normal as these percentages increase the further from the mean they represent. This matches the characteristics of a normal distribution. O C. This distribution is likely approximately normal as these percentages are similar to percentages within 1, 2, or 3 standard deviations for the normal distribution. O D. This distribution is not approximately normal as the standard deviation is greater than 1