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Let Xp represent the number appearing on one roll of a shape which lands flat (1 or 6) with probability p, as described in Example 1.3.3. Explain without calculation why Vαr(Xp) must increase as p increases. Then compute Vαr(Xp) and check that it increases as p increases.
Suppose a study were to find that drinking coffee raised cholesterol levels. Further, suppose you drink two cups of coffee a day and have a family history.
You know that all sociology majors study 2.5 hours per day with a standard deviation of 1.
Does using statistical software improve exam scores? An instructor in an elementary statistics course wants to know if using a new statistical software package
The probability of his passing english is 0.8, but the probability of his passing both is 0.6. What should be his estimate of the probability of his passing math?
The number customers who enter a supermarket each hour is normally distributed with a mean of 600 and a standard deviation of 200. The supermarket is open 16 hours per day.
A manufacturer of car batteries claims that the life of its batteries is normally distributed with mean µ = 58 months and standard deviation σ = 3. Determine the probability that a randomly selected battery will last at least 62 months.
We desire that the phase margin be equal to 30°. For a ramp input r(t) = t, we want the steady-state error to be equal to 0.05. Design a lag compensator to satisfy the requirements. Verify the results.
the number of customers per day at a sales counter x has been observed for a long period of time and found to have mean
Which of the following is most likely to be viewed as an external measure of service effectiveness
an investor estimates that there is a 75 chance that a particular mutual funds price will increase to 100 per share
a stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. a random
If only one spark plug fails, the plane will shake and not climb higher, but it can be landed safely. What is the probability that this happens? Calculate using the appropriate formula.
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