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In: Statistics and Probability

1. What is the area under the curve between 3398.8 and 3981.2 for a normal distribution...

1. What is the area under the curve between 3398.8 and 3981.2 for a normal distribution with mean m=3900 and standard deviation s=280 ?

2. Find the 12th percentile of the above distribution.

3. What is the probability of obtaining a mean of 275.4 or greater from a sample of size 4 from a NORMAL population with mean m=245 and standard deviation s=28 ?

4. What is the area under the standard normal curve below z = 0.20 ?


5. Test marks are normally distributed with mean 67 and standard deviation 14. What is the minimum mark required to be in the top 10% ?( nearest integer)


6. 100 samples of size 25 are taken from a population with mean 43 and standard deviation 8. How many samples would you expect to have means greater than 52.1?(nearest integer)

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