John’s kidneys have failed and he is on the wait-list for a…

John’s kidneys have failed and he is on the wait-list for a kidney transplant. If he gets a transplant, there is a chance that he will not survive the operation; if he survives the operation, there is a chance that the transplant is not successful, i.e. his body does not accept the new kidney. His doctor gives him the following information for his condition: 90% of patients survive the operation. Of the patients who survive, 60% of transplants are successful while 40% are not. What is the probability that John survives the operation and the transplant is successful?

In 2003, American Psychological Association conducted a surv…

In 2003, American Psychological Association conducted a survey of a random sample of psychologists to estimate mean incomes for psychologists with various academic degrees and levels of experience. Of the 31 psychologists who received a masters degree in 2003, the mean income was $43,834 with a standard deviation of $16,870. Assuming that psychologists’ income follow a normal distribution, which of the following is the 95% confidence interval for the population mean?