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Please answer each of the parts in the following question. Show all steps. Thanks in advance!

The following data represent the weights (in grams) of a random sample of 50 candies. 0.86 0.84 0.93 0.99 0.73 0.85 0.87 0.77(c) Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. Hint: x=0.84. 95 %(f) Determine the actual percentage of candies that weigh more than 0.91 gram. 14 %

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Sol Standard deviation (sample) { (Xi-st)? nt 0.20 705 49 s = 0.065 12 0.07 c) P[ 0.7L XL 0.98] 0.7 -0.84 I zx-l 0.0 864 0.9848 d) Actual percentage= 48 50.96 50 . 96% 3 e) P[ x > 0.91] = P(x-4 > 0.91-O. By 7 0.064 / > PL z> 1.093757 = 0,137 20.14 .

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