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STA301 Statistics and Probability Assignment No.2 Ideal Solution Spring 2014 Due Date 23rd July 2014
Question 1: (Marks:5+3=8)
(a) The mean height of soldiers is 69.33 inches with a variance of 11.8. Assuming the distribution of heights to be normal, how many soldiers in a regiment of 1000 would you expect to be at least 6 feet tall?
(b) In a hypergeometric distribution, n = 4, k = 4 and N = 10. Calculate the mean and Standard deviation of hypergeometric distribution.
Question 2: (Marks:5+2=7)
(a) A population consists of 5 values 1, 3, 5, 7, 9. Take all possible samples of size 2 which can be drawn without replacement from this population. Make the sampling distribution of sample means.
(b) Random samples each of size 50 are drawn from two normal populations X and Y with means = 120, = 100 and variances = 10, = 20. Find the mean and variance for the sampling distribution of.
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Where
N = number of units in the population,
n = number of units in the sample, and
k = number of successes in the population.
The hyper geometric probability distribution has three parameters N, n and k.
The hyper geometric probability distribution is appropriate when
• a random sample of size n is drawn WITHOUT REPLACEMENT from a finite population of N units;
• k of the units are of one kind (classified as success) and the remaining N – k of another kind (classified as
failure)
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STA301 Statistics and Probability Assignment No.2 Ideal Solution Ideas
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STA301- Statistics and Probability
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STA301- Statistics and Probability Assignment No.2
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