(a) Draw an event tree and show on the event tree all the probabilities in branch points.
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- sickle cell disease affects approximately 1 in 15000 hispanic Americans. the test for sickle cell disease has a false positive rate of 0.5% and a false negative rate of 0.1%. if a randomly chosen hispanic American has a positive test result, what is the probability they have sickle cell disease? a) Draw a tree diagram illustrating this situation, include appropriate probabilities within the tree. b) using your tree from part a, find the probability in the question.of 16 Suppose a high school gymnasium bag contains volleyballs, basketballs, and soccer balls. During physical education class, the coach randomly selects a ball 0.45 0.37 from the bag. The ball the coach selects determines what sport the students play that day. If she selects a volleyball, the students play volleyball that day, and so 0.45 0.18 on. The tree diagram shows the possible outcomes with their probabilities for two consecutive physical education classes. Determine the probability that the students will play volleyball two days in a row. Give your answer as a decimal precise to two decimal places. 0.45 0.37 0.37 0.18 0.18 0.45 0.37 0,18A student is selected at random from a list of all enrolled students at HarvardUniversity. Suppose the probability that the student is female is 0.48 and the probability that the student has a part-time job is 0.75. (a) In this context, define two events A and B. Also write down P(A) and P(B).(b) What does it mean, in this context, for A and B to be disjoint events?(c) Calculate P(A)+ P(B). Hence, or otherwise, explain why A and B cannot be disjoint events.
- DO THIS TYPEWRITTEN FOR UPVOTEearning.com/courses/beef6842-4115-4b12-ad09-775f802dc3cf/3/u95952/tools/as After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D = driver takes his car to shop D %3D L = driver takes his car to shop L %3D T = the work is complete on time B = the cost is less than or equal to the estimate (undThe Venn diagram below shows the 15 students in Ms. Johnson's class. The diagram shows the memberships for the Chess Club and the Basketball Club. Note that "Mai" is outside the circles since she is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Chess Club." Let B denote the event "the student is in the Basketball Club." (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = P(B) = P(A or B) = P(4_and_ B) = || P(A) + P(B) − P (4 and B) = (b) Select the probability that is equal to P (A) + P (B) − P (A and B). OP (A) OP(A and B) OP (B) OP (A or B) olo ? Mai Chess David Christine Tom Basketball Justin Ashley Maria Mary Dante Amy Lamar Lena Chris Rainal Miguel
- A bag contains 3 red marbles and 4 white marbles. Two marbles are drawn in succession without replacement. What is the probabilities of the following events: The first marble drawn is red and the second is white: Both marbles drawn are red:15.An automobile company manufactures parts fo car out of which10% are defective. Find the probabilities that among 18 such partsrandomely chosen(a) all are defective.(b) at least 16 are defective.(c) at most 14 are defective.(d) exactly 10 are defective.At a small midwestern college, 47% of the students commute. It was also found that 61.6% are liberal arts majors, while 19.2% commute and are not liberal arts majors. Let A be the event for commuting and B be the event for liberal arts majors. a) Construct a contingency table displaying all the probabilities. b) Given that the student is a liberal arts major, what is the probability that the student commutes? c) What is the probability that you randomly select a student who does not commute or is not a liberal arts major? d) Is being a liberals art major and not commuting independent events?
- A magician appears to be using a biased coin during one of their magic tricks. To find out whether this is true, the alleged unfair coin is flipped twice. The tree diagram below shows the probabilities of the different outcomes. A tree diagram has a root that splits into 2 branches representing the outcomes of an event labeled Upper H and Upper T with probabilities StartFraction 3 Over 8 EndFraction and StartFraction 5 Over 8 EndFraction respectively. Each primary branch splits into 2 secondary branches, labeled Upper H and Upper T. The secondary branches have the following probabilities, with the primary and secondary branches listed first and the probability listed second: Upper H Upper H, StartFraction 3 Over 8 EndFraction; Upper H Upper T, StartFraction 5 Over 8 EndFraction; Upper T Upper H, StartFraction 3 Over 8 EndFraction; Upper T Upper T, StartFraction 5 Over 8 EndFraction. Use the diagram to find the probability of getting one head and one tail (in either order).In a 1-hour output of a production line, Line 1 produces 2 defective and 3 non-defective items in their output box. Line 2 output box contains 7 defective and 5 non-defective items. If B1 is the event of randomly selecting the output of Line 1, and B2 is the event of randomly selecting the output of Line 2, having probabilities of 0.4 and 0.6 respectively. a. Draw the complete tree diagram indicating the probability values. b. What is the probability that the item is defective given that it came from Line 1? c. What is the probability that of randomly selecting 1 item from the two lines, the item is non- defective? d. What is the probability that the item is from Line 2 given that it is non-defective? e. Given that it is defective, what is the probability that it came from Line 1?Cards are dealt from a full deck of 52. Find the probabilities of the given events. (Enter your answers as fractions.) (a) The first card is a king.(b) The second card is a king, given that the first was a king.(c) The first and second cards are both kings.(d) Draw a tree diagram illustrating this.
