Vy is the owner of a popular, busy restaurant in Sydney's CBD. As bookings at the restaurant are in demand, she wants to work out how many potential seatings she can accommodate on a Saturday night. The length of time that customers spend dining at the restaurant on a Saturday night is uniformly distributed between 70 minutes and 3 hours. (Hint: Turn hours into minutes for calculations.)

i..What is the probability density function for this uniform distribution

ii.What is the probability that a customer will spend between 70 minutes and 2 hours dining at the restaurant

iii.What is the probability that a customer will spend no less than 90 minutes dining at the restaurant

iv.What is the expected dining time, in minutes, for a customer (mean)