Hi, I am in difficulty when I kept trying to do these questions.

Could you give me a help to solve these questions?

Thank you so much.

Q1 (2 points) The Ring Road on the UVic campus is a one-way street. A math professor has an ofce overlooking the Ring Road and they have determined that on average they see 3 cars per month driving the wrong way on the road. In parts (a) and (b) below. dene the random variable you are working with. and state which distribution your random variable follows. (a) What is the probability that the during the Spring semester (4 months) the professor will see between 8 and 15 cars (inclusive) driving the wrong way on the road? (b) The professor knows that in the last 6 months they have seen at least 13 cars driving the wrong way on Ring Road. What is the probability that during these 6 months they saw at least 21 cars driving the wrong way? Q2 (2 points) The amount of gasoline a gas station sells in an hour (measured in 10005 of liters) can be modelled by the random variable X with pdf 1 for): \"(1_?) 1952 0 otherwise (a) Determine the value of c needed in order for the function f('i) to be a pdf. (b) In a particular hour, what is the probability that the gas station will sell between 1250 L and 1700 L of gasoline? Q3 (2 points) Let the random variable X represent the lifetime of a set of car tires (measured in years) before they need to be replaced. The distribution of X can be modelled by the pdf 7 e otherwise (a) Find the expected lifetime of a set of car tires. (Hint: integration by parts. Be careful with setting up your improper integral here.) (b) Find the median lifetime of a set of car tires