In: Statistics and Probability
1. Find the probabilities f(0), f(1), f(2), f(3), and f(4) of a binomial distribution. Keep 4 decimal places in your answer. Use n=4 and p=0.15. 2. Keep 4 decimal places in your answer. About 75% of dog owners buy holiday presents for their dogs. Suppose n=4 dog owners are randomly selected.
2. Find the probability that
a. at least one buys their dog holiday presents
b. three or more buy their dog holiday presents
c. at most three buy their dog holiday presents
d. find the expected number of persons, in the sample, who buy their dog holiday presents.
e. find the standard deviation of persons, in the sample, who buy their dog holiday presents.
3. According to a recent report of the American Medical Association 9.0% of practicing physicians are in the specialty are of family practice. Assuming that the same rate prevails, find the mean and standard deviation of the number of physicians specializing in family practice out of a current random selection of 545 medical graduates.
4. A drug, which is effective in reducing blood pleasure 73% of the time is administered to 10 patients selected at random.
What is the probability that exactly 6 patients have reduced blood pleasure?
What is the probability that at most 9 patients have reduced blood pleasure?
What is the probability that more than 1 patient have reduced blood pleasure?