Birth and death process
Consider a birth and death process having three states 0, 1, and 2, and birth and death rates such that h_0 = u_2. Use the forward equation (kolmogorov equation) to find P_0y(t), y = 0, 1, 2
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Draw the scatterplot. Compute and explain the correlation coefficient. What percent of the variability is accounted for by the relationship between the two variable?
Define the joint pmf of S and T with n = 3. On a 2D graph, give the probabilities of the joint pmf and the marginal pmfs. Let X = S + 3 and Y = T + 3. How are X and Y distributed?
A merchant believes that the average age of customers who purchase a certain brand of T-shirt is 15 years of age. She selected a sample of 64 customers and had the mean of the sample to be 15.6 years,
The regression line y' = -3 + 2.5 X has been fitted to the data points (28, 60), (20, 50), (10, 18), and (25, 55). The sum of the squared residuals will be:
A company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsx
How many commuters must be randompy selected to estimate the mean of driving time of chicago commuters? We want 98% confidence that the sample mean is within 2 minutes of the population mean, and the poplation standard deviation is known to be 10
In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed
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