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A wireless pressure sensor (buried in the ground) reports a discrete random variable X with range SX = {0, 1,..., 20} to signal the presence of an object. Given an observation X and a threshold x0, we conclude that an object is present (hypothesis H1) if X > x0; otherwise we decide that no object is present (hypothesis H0). Under hypothesis Hi, X has conditional PMF
Where p0 = 0.99 and p1 = 0.9. Calculate and plot the false alarm and miss probabilities as a function of the detection threshold x0. Calculate the discrete receiver operating curve (ROC) specified by x0.
Determine the minimum sample size he must select if he wants to be 90% confident that the true average time is within 10 minutes of the sample average?
If the campus was equally divided between males and females, what are the probabilities of males and females on this campus would be at risk?
A state transportation official claims that the mean waiting time at exit booths from a toll road near the capitol is no more than .40 minutes. for a sample of 35 motorists exiting the toll road, it was found that the mean waiting time was .46 min..
Suppose you study a random sample of 100 GRE verbal exams. Determine the probability that the average (mean) score in this sample will be between 485 and 515.
an inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects
To test the given claim using Single Proportion Z test.
Suppose that 8% of the apples on the truck do not meet the desired standard. What is the probability that the shipment will be accepted anyway ?
the weight of a product is normally distributed with a standard deviation of 1.0 ounces. what should the average weight
Problem 1: The employees have indicated that 95% of employees in one of the departments are receiving higher salaries than any other department because their supervisor parties with them each weekend. Some employees only have an hourly rate which..
The weight of children in the U.S. are normally distributed with a mean of 8.0 pounds and standard deviation of 1 pound
when 12 bolts are tested for hardness their indexes have a standard deviation of 41.7. test the claim that the
Diversi?cation works better when the investments in a portfolio have small correlations. To demonstrate this, suppose that returns on 500 Index Fund and Diversi?ed International Fund had the means and standard deviations we have given but were unc..
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