Question

Can someone explain all these questions?

B5. In order to go to university a student needs to catch a train at 8:41a.m. every morning. Cycling to the station from home takes the student on average 14 minutes, with a standard deviation of 3 minutes. You can assume that the distribution of trip times is normally distributed and independent between days i) What is the probability that the student's cycle ride to the station will take more than 21 4 marks ii) If the student leaves the house at 8:22a.m. what percentage of the time will the student be minutes? 1 marks ii) Conversely, at what time does the student have to leave their home so that missing the train [4 marks iv) Find the probability that two or more of the five cycling trips to the station per week will take 4 marks v) Find the probability that, by leaving the house at 8:22a.m. every day, the student never misses 4 marks] late to university? will be unlikely (i.e. happening for at most 0.5% of all trips)? 19 minutes or longer. the train in a whole month20 weekdays)

Answer 1

Let X denotes the time taken by student to cycle to station from home.

1시 3 at :am 3

So, missin umじ14. 8:29 am) ッGiven the χ , days on Longen 3

3 3 SCO Co 9SIS +SGCoov es) co.ssis - 19 Probabiury R O ,3699a