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Suppose that the demand for a company's product in weeks 1, 2, and 3 are each normally distributed and the mean demand during each of these three weeks is 50, 45, and 65, respectively. Suppose the standard deviation of the demand during each of these three weeks is known to be 10, 5, and 15, respectively. It turns out that if we can assume that these three demands are probabilistically independent then the total demand for the three week period is also normally distributed. And, the mean demand for the entire three week period is the sum of the individual means. Likewise, the variance of the demand for the entire three week period is the sum of the individual weekly variances. But be careful! The standard deviation of the demand for the entire 3 week period is not the sum of the individual standard deviations. Square roots don't work that way!
Now, suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?
Assume the standard deviation of the distribution is 2.5pounds, what is the probability that the mean of a sample of 55 families is between 17 and 18 pounds.
Age effects in medical care. The type of medical care a patient receives may vary with the age of the patient. A large study of women who had a breast lump investigated whether or not each woman received a mammogram and a biopsy when the lump was ..
The standard deviation of the sample is $3,000. Interpret your findings.
What are the minimum value and the maximum value? List the actual values in the fourth row. List the actual values in the second row. How many values are less than 70? How many values are 80 or more?
Estimate a probability that a seed from new plant will germinate a random sample of 3000 seeds, of those seeds 2430 germinated. What is the sample space for this problem and does it add up tp 1? are the outcome in the sample space equally likely?
data on the number of occurrences per time period and observed frequencies follow. compute the value of the test
Suppose the Doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required?
The random variable x has a normal distribution with mean=30 and standard deviation = 30. Find the probability that x assumes a value more than two standard deviations from its mean more than three standard deviations from the mean.
Suppose you interview 10 randomly selected workers and ask how many miles they commute to work. You'll compute the sample mean commute distance.
you are an engineer in charge of aircraft safety. you want to ensure that the probability of failure between
Find the average caller "on hold" time if the company maintains that no more than 9% of callers wait more than 6.6 minutes.
for liquid metals with a prandtl number much less than unity the velocity profile inside the thermal boundary layer on
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