Assume this year's flu vaccine has a 70% chance of being effective. If the vaccine is given to 308 rand selected people, answer the following. a) Which is the correct wording for the random variable? rv X = the number of 308 randomly selected people who got the vaccine that did not get the flu v b) Pick the correct symbol: n v o = 308 c) Pick the correct symbol: p v o = 0.7 d) What is the probability that exactly 213 of them did not get the flu? Round final answer to 4 decimal places. 0.0467 e) What is the probability that less than 213 of them did not get the flu? Round final answer to 4 decimal places. 0.3732 f) What is the probability that more than 213 of them did not get the flu? Round final answer to 4 decimal places. 0.6268 g) What is the probability that exactly 219 of them did not get the flu? Round final answer to 4 decimal places.

The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a college in that state, then find the most likely value for the number of people who failed the test at that college.

A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 4 2 3 9 Female 8 5 9 22 Total 12 7 12 31 If one student is chosen at random from those who took the test,Find the probability that the student got a 'B' GIVEN they are male.