3. (a) (i) What are pseudo-random numbers? (ii) Explain way it is neccssary to "sced a random-number generator". 1] (b) In the manufacture of electric bulbs, the probability that a bulb is defective is 0.01. Write a program to simulate the manufacture of 5000 bulbs, indicating how many are defective. Ensure that each time your program is run, a different answer could be obtained. marbles of various colours. Marbles are picked at A barrel contains a large number of random from the barrel. There is a 50% chance of picking a red marble, a 20% chance ofpicking a blue marble, a 20% chance of picking a green marble, a 5% chance of picking a yellow marble and a 5% chance of picking a black marble. Assume that these percentages do not change after a marble is picked. (c) Write a program to perform 25 simulations of the picking of marbles until at least o marble of each colour is picked. For each simulation, print the number of marbles picked. Also print the average number of marbles picked per simulation. State THREE differences between integers stored in a text file and integers stored in a binary file. (d) A retailer wishes to keep records of the items he sells. He has a text data file, items.txt, containing, on each line, an item number (integer), the quantity in stock (integer) and the unit price (real). The last line contains only, indicating the end of the data. (e) Write a program to read the data (using fscanf) and store each item record in a binary file, items.bin. The records are to be stored in the same order as they appear in the text file. Your program should check if the input file could be opened and the output file could be created. 15) Total Marks Q3: 20