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?  

Assume each newborn baby has a probability of approximately…

Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with three children, let X = number of children who are girls. Which of the below are the three conditions for a binomial distribution? I. The n trials are independent. II. Each trial has at least two possible outcomes. III. The n trials are dependent. IV. Each trial has the same probability of a success. V. There are two trials. VI. Each trial has two possible outcomes.

BONUS Suppose you are interested in knowing the proportion o…

BONUS Suppose you are interested in knowing the proportion of Texas A&M students who have their own subscription to Netflix. You find a study that sampled 200 students that reports a Confidence Interval of (0.6679, 0.8121), but they did not report their Confidence Level. Assume that they correctly designed their study so that all assumptions for a Confidence Interval are met. Find the Confidence Level they used in constructing their interval. (Hint: the point estimate for the proportion (