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7. A factory produces certain types of output by three machines. The respective daily production figures are: Machine A a 3000 units; Machine 0 = 2500 units; and Machine C a 4500 units. Past experience shows that 1 per cent of the output produced by machine A is defective. The corresponding fractions of defectives for the other two machines are 1.2 and 2 per cent respectively. An item is drawn at random from the 8. A brokerage survey reports that 30 per cent of individual investors have used a discount broker, that is, one which does not charge the full commission. In a random sample of 9 individuals. what is the probability that a. Exactly two of the sampled Individuals have used a discount broker, b. Not more than three have used a discount broker, c. At least three of them have used a discount broker. 9. When a rst proof of 200 pages of an encyclopaedia of 5000 pages was read. the distribution of printing mistakes was found to be as shown in the first and second columns of the table below. Fit a Poisson distribution to the frequency distribution of printing mistakes. Estimate the total cost of correcting the whole encyclopaedia by using the information given In the first and third columns of the table below: MW Pug-nu) CM gone. and on a Page Cor-mien hr Page {81.) 0 113 1.00 1 62 2.50 2 20 1.50 3 3 3.00 4 I 3.50 5 I 4.00 10. The customer accounts at a certain departmental store have an average balance of Rs. 480 and a standard deviation of Rs. 160. Assuming that the account balances are normally distributed. (a) 1What proportion of the accounts ls over Rs. 600? (b) What proportion of the accounts is between Rs. 240 and Rs. 360