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A photo-sharing startup offers the following service. A client may upload any number N of photos and the server will compare each of the N pairs of photos with their proprietary image matching algorithms to see if there is any person that is in both pictures. Testing shows that the matching algorithm is the slowest part of the service, taking about 100 milliseconds of CPU time per photo pair. Hence, estimating the number of photos uploaded by each client is a key part of sizing their data center. The people in charge say that their gut feeling is that N = 10. You (the chief technical officer) say, "but N is a random variable". What will the expected CPU demand per client (as a function of N , p or ?) if N follows
a) the "distribution" where N is the same fixed number with probability 1?
b) the Poisson distribution with parameter ??
c) the geometric distribution with parameter p?
d) N = 80X + 5, where X is a Bernoulli random variable with parameter p?
In each case, include as part of your answer the expected value of N and the variance of N .
Perform a two-tailed hypothesis test on both the legal services satisfaction and the sentence satisfaction variable's data using a .05 significance level.
Population standard deviation of 5 and you select a sample size of 100, what is the probability that the sample mean is between 47 and 49.5?
Test the following claim about the difference between 2 populations proportions p1 and p2 for the given level of significance a and given sample statistic. Is it right-tailed, left-tailed, two-tailed. Assume the sample statistic are from independe..
A researcher is using a chi-square test to determine whether there are any preferences among four brands of cola. With alpha = .05 and a sample of n = 30, what is the boundary for the critical region for the hypothesis test.
A sample of 8 jars has a mean of 15.6 ounces and a standard deviation of 0.3 ounce. Is there enough evidence to support the consumer's conjecture at a = 0.05 and how can this be graphed?
The following survey questions have been established for a medical errors and patient safety business research paper:
Suppose that a random requisition is found to have been incorrectly entered. What is the probability that it was processed by data entry specialist 1? By data entry specialist 2? By data entry specialist 3?
The mean of a standard normal probability distribution.
From this group of 2000 accounts what is the probability that an account has a balance of $500 or more, given that it is 3 or more years old?
Based on a P-value of 0.0248 the researchers concluded there was evidence that low birth weights may be a risk factor for susceptibility to depression. Explain in context what the reported P-value means.
If an urn is selected at random and a ball is drawn, find the probability it will be red.
The wheeling tire company produced a batch of 5000 tires that includes exactly 200 that are defective. if four tires are randomly selected what is the probability that they are all good?
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