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The metro train arrives at the station near your home every quarter hour starting at 6:00 a.m. You walk into the station every morning between 7:10 and 7:30, with your start time being random and uniformly distributed in this interval. What is the PDF of the time that you have to wait for the first train to arrive?
Suppose we have a population of scores with a mean = 200 and a standard deviation = 10. Assume that the distribution is normal. Provide answers to the following questions:
What is the difference between common cause variation and special cause variation? What should you do to improve a process when special causes of variation are present?
Balls that have been thoroughly mixed. Sue and Jim, each, purchased one gumball. What is the likelihood both Sue and Jim get red gumballs?
Find the probability that a standard normal random variable will assume a value between: Find a z such that 70% of the area is above that value.
Consider that measurement 2 (M2) in random sample of 1000 controls from the Disease Y study population follows the normal distribution.
Perform a parametric analysis by assessing the fractional change in the probability of failure with respect to a small change in the mean and standard deviation of selected variable.
There are two boxes, Box A and Box B. Box A has 40 tags with the number 1, 50 tags with the number 10, and 10 tags with the number 100. Box B has 40 tags with the number 100, 50 tags with the number 10, and 10 tags with the number 1.
A Manager needs to decide between two machines to put into market following a Weibull distribution. Machine X test unit cost $3000 with beta=3 and theta=500 Machine Y test unit cost $2000 with beta=3 and theta=400
Critically discuss the main differences between descriptive and inferential statistics? Provide an example of either type of statistics either from a recent study you heard about or a made up study you'd be interested in learning about.
For a sample of engineers, the mean salary is $95,000 with a standard deviation of $30,000. The median value is $80,000. What is the relative shape of the distribution and coefficient of skewness?
Consider a random sample of size n from a normal distribution, Xi ~ N(m,9). a) Find the CRLB for the variances of unbiased estimators of m. b) Is the MLE, m(hat) = X(bar), a UMVUE of m?
11.9% reported they were in fair or poor health, including 10.5% of the married people, 19.6% of widows, 16.7% of divorced or separated, 12.5% of those never married, and 14% of those living with an unmarried partner.
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