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
Expected delivery within 24 Hours
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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