Question

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.

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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