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The standard screening test for Down's Syndrome is based on combination of maternal age and the level of serum alpha-fetoprotein. Using this test 80% of Down's syndrome cases can be identified, while 5 % of normals are detected as positive.
What is the sensitivity and specificity of the test?
Suppose that 1 out of 500 infant's are born with Down's Syndrome.
If a pregnancy length is randomly taken from this distribution, what is the probability that the length of that pregnancy is less than 260 days?
Find the sample mean and sample standard deviation for the amount of unspent money returned at the end of the day.
Create a scatter plot for those data. Based on scatter plot, how would you explain relationship between the two variable.
Estimate the probability the store will gross over $850 a) At least 3 out of 5 business days.
How can you or your department decide whether or not the variation is important? How could using a mean difference test help?
What is the probability that: The amount requested is $80,000 or more?
Pick a random sample of 50 homes from the enclosed 90 cases. Double the asking price and selling price and use this data to develop three predictive models:
The mean of a normal probability distribution is 60; the standard deviation is 5.
Among the half that had surgery, 80% showed improvement after three months, but only 54% of those who used the wrist splints improved. what's the standard error of the difference in the two proportions?
You have two unbiased estimates, e 1 and e 2 , of a quantity with variances V 1 and V 2 respectively, and covariance Cov {e1,e 2 } = C. Form a new unbiased estimate:
Use normal disrtibution of fish lengths for which the mean is 8 inches and the standard deviation is 5 inches. Assume the variable x is normally distributed.
Failure times for a randomly failing component are 3.3, 14.3, 27.1, 41.3, and 92.2 hours. Find the MTTF and standard deviation using: a) moment estimation. b) maximum likelihood estimation.
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