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A placement company has conducted a written test to recruit people in a software company. Assume that the test marks are normally distributed with mean

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A placement company has conducted a written test to recruit people in a software company. Assume that the test marks are normally distributed with mean 120 and standard deviation 50. Calculate the following: (a). Probability of randomly obtaining scores greater than 200 in the test. (01 Mark) (b). Probability of randomly obtaining a score that is 180 or less. (01 Mark) (c). Probability of randomly obtaining a score less than 100. (01 Mark) (d). Probability of randomly selecting a score between 70 to 130 for the exam (01 Mark) (e). Probability of randomly obtaining a score between 80 to 110 (01 Mark)

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