A home pregnancy test was given to women, then pregnancy was verified through blood tests. The...

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A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results. Positive Negative 59 8 67 Pregnant Not Pregnant Total 6 72 78 Total 65 80 145 Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places. a. P(Positive | Pregnant) - b. What is the probability that the woman is pregnant given that the test is positive? c. Given that a woman is pregnant, what is the probability that the test is negative? d. P(Not Pregnant | Negative) - Question 33 In a large population, 70 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction. Question Help: Message instructor Submit Question 0/1 Question 24 Round all answers to 4 decimal places. a. A bag contains 8 green marbles, 3 white marbles, and 9 blue marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a green marble and then a blue marble? b. A bag contains 3 red marbles, 9 blue marbles, and 8 white marbles. If two different marbles are drawn from the bag, what is the probability of drawing first a red marble and then a white marble? Question Help:Written Example Message Instructor Submit Question Q A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results. Positive Negative 59 8 67 Pregnant Not Pregnant Total 6 72 78 Total 65 80 145 Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places. a. P(Positive | Pregnant) - b. What is the probability that the woman is pregnant given that the test is positive? c. Given that a woman is pregnant, what is the probability that the test is negative? d. P(Not Pregnant | Negative) - Question 33 In a large population, 70 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction. Question Help: Message instructor Submit Question 0/1 Question 24 Round all answers to 4 decimal places. a. A bag contains 8 green marbles, 3 white marbles, and 9 blue marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a green marble and then a blue marble? b. A bag contains 3 red marbles, 9 blue marbles, and 8 white marbles. If two different marbles are drawn from the bag, what is the probability of drawing first a red marble and then a white marble? Question Help:Written Example Message Instructor Submit Question Q