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Problem 1. (80 points) Consider the relational database defined below: create table passenger ( passenger_ID varchar (10). passenger_nane varchar(30), passenger_city varchar (30), primary key (passenger_ID));

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Problem 1. (80 points) Consider the relational database defined below: create table passenger ( passenger_ID varchar (10). passenger_nane varchar(30), passenger_city varchar (30), primary key (passenger_ID)); create table seat ( train_number varchar (10), seat_number varchar(10), primary key (train_number, seat_number)); create table reservation reservation_number varchar(10). passenger_ID varchar (10) train_number varchar (10), seat number varchar(10) departure_station varchar (10). departure_time timestamp arrival_station varchar (10), arrival time timestamp. fare numeric(8, 2). primary key (reservation_number) foreign key (passenger_ID) references passenger, foreign key (train_number, seat number) references seat); Express in SQL each of the following queries: (a) (10 points) Shows the number of passengers living in (i.e., whose passenger_city is) 'Albany (b) (10 points) Show the train number of each train that has more than 1000 seats. () (10 points) Find the ID of every passenger who lives in (ie, whose passenger_city is) Albany' and has never reserved a trip arriving at 'ALB'. For this query, use either an in clause or a not in clause, (d) (10 points) Find the ID of every passenger who lives in (ie., whose passenger_city is) 'Albany' and has never reserved a trip arriving at 'ALB. For this query, use a set oper- ation (e) (10 points) Find the ID of every passenger who lives in (i.e., whose passenger_city is) 'Albany' and has never reserved any trip. For this query, use a left outer join. (f) (10 points) For each reservation whose departure time is between 2021-04-01 00:00:00' and 2021-04-02 23:59:59' (inclusive), update the fare as follows: If the current fare is greater than $100, decrease the fare by 5 percent. Otherwise, decrease the fare by 3 percent. (g) (10 points) Find the train(s) with the largest number of seats (i.e., trains with more seats or the same number of seats compared to every other train). For each of these trains, show the train number. (h) (10 points) Find all of the trains whose scats were all reserved at least once on "2019-04-01 For each of these trains, show the train number. Problem 2. (20 points) Consider the relational datalpose defined in Problem 1. Express in rela- tional algebra each of the following queries: (a) (10 points) Show the train number of each train that has more than 1000 seats. (b) (10 points) Find the train(s) with the largest number of seats (i.e., trains with more seats or the same number of seats compared to every other train). For each of these trains, show the train number

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