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hand written assignment numerical based structural analysis, cables, moving load

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hand written numerical based on probability, Engineering Mathematics 3

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1.   A die was thrown 9000 times and a throw of  5 or 6 was obtained 3240 times do the data indicate that the die is unbiased? 2. Write a short note on type of samplings ? 4. Find the unbiased estimate for the population mean variance of sampling distribution of mean.