Please assist with the problems that are circled.
314 A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%. compute the probability that a person who tests positive actually has the disease. 46. A certain disease has an incidence rate of 0. 1%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. 47. A certain group of symptom-free women between the ages of 40 and 50 are randomly selected to participate in mammography screening. The incidence rate of breast cancer among such women is 0.8%. The false negative rate for the mammogram is 10%. The false positive rate is 7%. If a the mammogram results for a particular woman are positive (indicating that she has breast cancer). what is the probability that she actually has breast cancer?34. Referring to the table from #30, find the pre male or has no credit cards. Compute the probability of drawing the King of hearts or a Queen from a deck of cards. 36. Compute the probability of drawing a King or a heart from a deck of cards. ZA jar contains 5 red marbles numbered 1 to 5 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is a. Even-numbered given that the marble is red. b. Red given that the marble is even-numbered. 38. A jar contains + red marbles numbered 1 to + and 8 blue marbles numbered I to S. A marble is drawn at random from the jar. Find the probability the marble is a. Odd-numbered given that the marble is blue. b. Blue given that the marble is odd-numbered. 39.Compute the probability of flipping a coin and getting heads. given that the previous flip was tails. 40. Find the probability of rolling a "I" on a fair die, given that the last 3 rolls were all ones. Suppose a math class contains 25 students. 14 females (three of whom speak French) and 1 1 males (two of whom speak French). Compute the probability that a randomly selected student speaks French. given that the student is female. 42. Suppose a math class contains 25 students. 1+ females (three of whom speak French) and 1 1 males (two of whom speak French). Compute the probability that a randomly selected student is male. given that the student speaks French. 13. A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive". a. Find the probability that a person has the virus given that they have tested positive. i.e. find P(A | B). b. Find the probability that a person does not have the virus given that they test negative. i.e. find P(not A | not B).probability that they both own a dog? 21. Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random. find the probability that both are red. 22. Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. If you pull out two slips at random. find the probability that both are vowels. 23. Bert and Ernie each have a well-shuffled standard deck of 52 cards. They each draw one card from their own deck. Compute the probability that: a. Bert and Ernie both draw an Ace. b. Bert draws an Ace but Ernie does not. c. neither Bert nor Ernie draws an Ace. d. Bert and Ernie both draw a heart. e. Bert gets a card that is not a Jack and Ernie draws a card that is not a heart.312 25. Compute the probability of drawing a King from a deck of cards and then drawing a Queen. 26. Compute the probability of drawing two spades from a deck of cards. 27.A math class consists of 25 students, 14 female and 1 1 male. Two students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then a female. b. a female is selected, then a male. c. two males are selected. d. two females are selected. no males are selected. 28. A math class consists of 25 students, 14 female and 1 1 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then two females. b. a female is selected. then two males. c. two females are selected, then one male. d. three males are selected. three females are selected. 29. Giving a test to a group of students. the grades and gender are summarized below. If one student was chosen at random. find the probability that the student was female and earned an A. A B Total Male 8 18 13 39 Female 10 12 26 Total 18 22 25 65 30. The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random. find the probability that the person was male and had two or more credit cards. Zero | One Two or more Total Male 9 5 19 33 Female 18 10 20 48 Total 27 15 39 81 3 1. A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to S. A numbered. marble is drawn at random from the jar. Find the probability the marble is red or odd- 32. A jar contains + red marbles numbered 1 to + and 10 blue marbles numbered 1 to 10. A numbered. marble is drawn at random from the jar. Find the probability the marble is blue or even- 33. Referring to the table from #29. find the probability that a student chosen at random is female or earned a B
