The weights, X grams, of bars of soap are normally distributed with mean 125 grams and standard

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The weights, X grams, of bars of soap are normally distributed with mean 125 grams and standard deviation 4.2 grams.

i. Find the probability that a randomly chosen bar of soap weighs more than 128 grams.

ii. Find the value of k such that P(k < X < 128) = 0.7465.

iii. Five bars of soap are chosen at random. Find the probability that more than two of the bars each weigh more than 128 grams.

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