(Solved): Question 1 (30 pts.): Transition from Discrete to Continuous Distributions At Lakeside Gym, workout ...

Question 1 (30 pts.): Transition from Discrete to Continuous Distributions At Lakeside Gym, workout sessions last 40 minutes with 10 minutes breaks. On average, 15 people check their fitness trackers during a session. The trainer gets annoyed when the fifth person checks their tracker. (a) ( 5 Pts.) What is the probability that exactly 5 people will check their fitness trackers during a session? (b) (5 Pts.) What is the probability that the first tracker check will happen within the first 8 minutes of the session? (c) ( 5 Pts.) What is the probability that the trainer will be annoyed within the first 8 minutes of the session? (d) (5 Pts.) If the trainer was not annoyed in the first 8 minutes, what is the probability that the trainer will remain not annoyed by the end of the session? (e) (5 Pts.) What is the probability that the trainer will get annoyed for the first time during the third session? (f) ( 5 Pts.) What is the probability that after 12 sessions, the total number of people who checked their trackers is less than 100 ? answer this question in details that i can understand