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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 .
The American Bar Association conducted a survey in 1986 showed that the average income of lawyers in 1986 was $ 120,000. An investigator took a sample of 64 lawyers in 1990, produced a median income of $ 140,000 with a standard deviation of $ 24.5..
A consumer organization wants to know if there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount toy stores, five variety stores
At the 0.05 level of significance, can we conclude Middletown students remained in their districts less time than Brockton students? Make use of 5-step hypothesis testing procedure.
Test hypothesis that average price of gasoline in western states is higher than national average for Continental USA and the District of Columbia, i.e., higher than $3.74.
Determine 95% confidence interval for the population mean, based on the sample mean.
Is this result adequate to conclude that monkeys spent significantly more time with softer mother than would be expected if there were no preference? Use the two-tailed test with α = .05.
On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The probability of snow and "cold" weather is .15. Are snow and "cold" weather independent events?
Identify the sample and population. Also, determine whether the sample is likely to be representative of the population.
Make a decision using the p-value approach at the given α = 0.05.
Scores are obtained from the Law School Admission Test (LSAT) are normally distributed with a mean score of 550 and a standard deviation of 110.
A mean of 116 and a standard deviation of 4.8. If 36 people are randomly selected, find that probability that their mean blood pressure will be less than 118.
At other casinos, the dealer is required to take a hit on soft 17, but must stay on all other hands with a value of 17, 18, 19, 20, or 21. For this situation, determine the probability of the ending value of the dealer's hand.
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