Assume that .2% of the population is HIV positive. HIV tests, like other lab tests, are not perfect. Of those who are HIV negative, 1.5% will actually test positive. Of those who are positive, .3% will test negative. A. What is the probability of being HIV positive AND testing positive?
B. What is the probability of being HIV positive OR testing positive?
C. What is the probability that the test is negative given that you are HIV positive?
D. What is the probability that you are HIV negative if your test was positive?
E. What is the probability of a FALSE positive? That is, what is the probability that you test positive when you are in fact HIV negative?
F. What is the probability of a FALSE negative? That is, what is the probability that you test negative when you are HIV positive?
G. Why do you think a FALSE positive is greater than a FALSE negative? Do you think other medical tests are designed this way? Why?
H. Calculate the Specificity of this test and compare it to the Sensitivity of the test (you already calculated the Sensitivity). What is the importance of these two values?

Identify the graph of y = ln x + 1.

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .