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1. If the length of pregnancies are normally distributed with a mean of 268 days and...

1. If the length of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days

a.What percentage of pregnancies will last between 255 and 280 days?

b. what percentage will last less than 260 days?

c. what percentage will last more than 290 days?

2. for the above question what number of days will seperate the top 15% of days from the bottom 85%

3. If the distribution of test scores are skewed to the left and I take numerous samples of 45 from these scores, what will the distribution of the averages of these test scores follow.

4. what are the requirements in order to use the normal distribution to replace the binomial?

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