on a busy day, the average roller coaster wait time at a large amusement park is 27 minutes. suppose the standard deviation of wait time is 11.9 min and the distribution of wait time is approximately normal distribution. Note: show the work, write the probability in correct notation make a sketch of the correctly shaded region under the normal curve . box the answer.

(a) IF it is a busy day, approximately what percentage of people at the amusement park will have to wait time that is at least 30 minutes.? round to the nearest whole percent.

(b)to improve customer satisfaction the amusement park manager has decided to give food coupons to customers with long wait times . the manager decided to give the coupons to the top 10% of people waiting the longest. what is the minimum wait time for the top 10 %, round to the nearest tenth of a minute