In a population, 20% have a certain medical condition. The t…

In a population, 20% have a certain medical condition. The test for the condition has a false positive rate of 10% and a true positive rate of 95%. What is the probability that a random person’s test result is positive? Your answer should contain 4 digits after the decimal.  

Five blue marbles and seven red marbles are held in a single…

Five blue marbles and seven red marbles are held in a single container. Marbles are randomly selected one at a time and not returned to the container.  What is the probability that at least two red marbles will be chosen in the first three selections? show what numbers you add/subtract/multiply/divide to get the final answer. For example, 3/8*1/2 + 1/4*5/6 = .3958