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Probability of randomly sampling and getting a value

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Question 1) A population is normally distributed with a mean of 50 and a standard deviation of 10.  What is the probability of randomly sampling this population and getting an observation of 57 or less?  Give your answer as 0.XX

Question 2) Weight of a species of bird is normally distributed with a standard deviation of 2 grams.  If 30% of birds weigh less than 10 grams, what is the population mean weight of these birds?  Give your answer as a number without units

Question 3) For the same population as # 2 above , what is the probability of randomly sampling and getting a value between 45 and 52?  Give your answer as 0.XX

Question 4) A population is normally distributed with a mean of 100 and a standard deviation of 10.  For samples of size 25, what is the probability of randomly sampling and finding a sample mean of 99 or more?  Give your answer as 0.XX

Reference no: EM131355776

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