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Assume that the weight of marbles are normally distributed with mean 172 grams and standard deviation...

Assume that the weight of marbles are normally distributed with mean 172 grams and standard deviation 29 grams. a) If 4 marbles are selected, find the probability that its mean weight is less than 167 grams. b) If 25 marbles are selected, find the probability that they have a mean weight more than 167 grams. c) If 100 marbles are selected, find the probability that they have a mean weight between 167 grams and 180 grams.

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Answer #1

Given that, mean = 172 grams

standard deviation = 29 grams

a) If n = 4, we want to find,

Required probability is 0.3669

b) If n = 25, we want to find,

Required probability is 0.8051

c) If n = 100, we want to find,

Required probability is 0.9544

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