Please answer the entire question in the screenshot below. Make sure to show your work. Thank you!

The dme it takes waiting to ride a popular roller coaster at an amusement park is normally distributed with a mean of 24 minutes and a standard deviauon of 15 minutes. [a] mat is die probability that a random rider waits more than a half of an hour\":' Provide a Sketch w! shading. proper notation, and probability statement [b] What is die probability that 5 random riders' average wait date is more than half of an hour? Be sure to include all 4 steps [FFATEPLAN-D-EDN ELUDE] neatly: [:1 Explain thoroughly in context of the problem what the difference is between the probabilities calculated in [a] versus [h]