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Solve using R: 1. The weekly wages of 1000 workmen are normally distributed around a Mean of Rs. 70 with a standard deviation of Rs.5. Develop an R-code to estimate the number of workers and visualize the area under normal curve whose weekly wages will be (i) between Rs.60 and Rs.80, (ii) less than Rs 65, (iii) More than Rs. 75. 2. It is conjectured that an impurity exits in 10% of all drinking wells in a certain rural community. In order to gain some insight on this problem, it is determined that some tests should be made. It is too expensive to test all of the many wells in the area, so 20 were selected at random for testing. Write R-code to find and visualize the probability that (i) exactly 2 wells have the impurity? (ii) more than 4 wells are impure? (iii) between 3 and 6 wells, inclusive, are impure?
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