children under five who came from a normally distributed population with a mean of 3500 grams and a standard deviation of 200 grams, with a population size of N=50. Then there is a random sample of size 15. Calculate the probability that the average weight of the 15th toddler reaches: 1. Between 3300 gram and 3750 gram

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Hello Sir.
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I have a question in my home work related Statistics lesson. The following below is my question.
Please advise and Thank you so much.

 

In the Mother and Child Posyandu during the past month, there were children under five who came from a normally distributed population with a mean of 3500 grams and a standard deviation of 200 grams, with a population size of N=50. Then there is a random sample of size 15.

Calculate the probability that the average weight of the 15th toddler reaches:

1. Between 3300 gram and 3750 gram

2. more than 3700 gram

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