can you please solve this question using a tree diagram thank you so much

Jane commutes to work five days a week and travels by either bike or train. When it rains, the probability Jane rides her bike is 0.2. When it does not rain, the probability she catches the train is 0.3. The probability it rains on any given day is 0.4. (a) On a randomly selected day, find the probability Jane catches the train to [4] work. (b) Given that Jane catches the train, find the probability it was raining that day. [3] (c) In a randomly chosen work week, find the probability Jane catches the train [3] on exactly two out of the five days. (d) If Jane travels to work 48 weeks a year, riding her bike is free and the train [5] costs $1.70 per day. Calculate how much Jane would expect to pay per year on her commute to work