1. [25 pts] Here is a plate model. A Obiect1 B E F Object2 a. What probability distributions do we need to specify for this model? b. Draw an unrolled version of the Bayesian network, where there are three items of type Object1 and two items of Object2 type.
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![1. [25 pts] Here is a plate model.
A
Obiect1
B
E
F
Object2
a. What probability distributions do we need to specify for this model?
b. Draw an unrolled version of the Bayesian network, where there are three items
of type Object1 and two items of Object2 type.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8a09c35-2957-44b0-a0f9-1ef930fbd327%2F411f3e19-8ed1-4c37-98f1-6c238df7971c%2Fne9dif_processed.png&w=3840&q=75)
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- 15 Assume that the fleet consists of 30 percent Lexus, 50 percent Infinity, and 20 percent Mercedes automobiles. 75 percent of the Lexus cars, 45 percent of the Infinities, and 40 percent of the Mercedes have CD players. Use this information to answer the following questions. (1) What is the probability that a randomly selected car has a CD player? (2) What is the probability that a randomly selected car either is a Mercedes or has a CD player?1. (Witmer book – Page 116, Q: 3.6.12) Childhood lead poisoning is a public health concern in the United States. In a certain population, 1 child in 8 has a high blood lead level (defined as 30 µg/dl or more). In a randomly chosen group of 16 children from the population, what is the probability that a. None has high blood lead? b. 1 has high blood lead? c. 2 have high blood lead? d. 3 or more have high blood lead? Hint: Use parts a – c to help you answer.A local beer company wants to produce a new Double IPA to feature in their regular rotation. Three recipes are created, each one the same but varying in terms of the type of finishing hop used for aroma: Citra, Mosaic, or Nelson Sauvin. In order to avoid carry-over effects, willing customers are randomly assigned to receive a six ounce pour of only one of the three beers. What is the best statistical test to conduct? O one sample t test O correlated groups t test O One Way Between Subjects ANOVA O One Way Repeated Measures ANOVA
- 1. Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier? 2. Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer areαandβrespectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins ifa. A answers the first question, b. B answers the first question. 3. Patients are recruited onto the two arms (0 - Control,1-Treatment) of a clinical trial. The probability that an adverse outcome occurs on the…4:23 AA www-awn.aleks.com O PROBABILITY Tree diagrams for conditional.. For a recent evening at a small, old-fashioned movie theater, 45% of the moviegoers were female ar 55% were male. There were two movies playin that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy wa more popular than the war ulm: 80% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: 50% of the males aended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let r denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities to complete the tree diagram below, and then answer…Part II. A medical clinic has collected the following data on patient category and health state of 300 patients. health state Women patient category Men Children Severe 20 30 25 Non-severe 100 75 50 One of these patients is selected at random. Let W= the patient is a woman; M = the patient is a man; C = the patient is a child; S = the patient's health state is severe; and N= the patient's health state is non-severe. 1. Find P(S n W). Are S and W mutually exclusive? Why 2. Find P(N UC).. 3. Find P(WIN). Are W and N independent? Why? (
- Hw 4 The following information relates to the probability of two different managers selecting a salesperson for a job: Probability of Manager Sam choosing a Salesperson is 0.5 Probability of Manager Alex choosing a Salesperson is 0.3 Over the last 10 working days, Manager Sam has worked for 6 days and Manager Alex worked 4 days. Only one manager works in a day. Required: Build a Tree diagram to show the probabilities of a Salesperson being selected. Show the different branches of the Tree diagram with all the calculations. Include in the Tree diagram the overall probabilities.(6) At the top of the next page is a Bayes Net graph and four tables which characterize how four random variables interact to describe a single basketball shot: • D (defended): whether the player taking the shot was defended (D₁) or not (Do) while taking the shot. ● R (range): whether the player took a 2-point shot (R₂) or a 3-point shot (R3). ● M (made): whether the shot was made (M₁) or not (Mo). ● P (points): the points earned as a result of the shot, either 0 (Po), 2 (P₂), or 3 (P3).Part 1 of 6 Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 13 bulbs b. The hair color of adults in the United States c. The number of pigeons in a country d. The time it takes for a light bulb to burn out e. The number of free-throw attempts before the first shot is missed f. The number of people in a restaurant that has a capacity of 150 ..... a. Is the number of light bulbs that burn out in the next year in a room with 13 bulbs a discrete random variable, continuous random variable, or not a O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable.
- A doctor is trying to decide if a patient has one of three diseases d1, d2, or d3. Two tests are to be carried out, each of which results in a positive (P) or a negative (N) outcome. There are four possible test patterns PP, PN, NP, and NN. National records have indicated that, for 10,000 people having one of these three diseases, the distribution of diseases, and test results are as shown below: Please find the image below What is the probability that a randomly selected patient has the 2nd disease d2? What is the probability that a randomly selected patient has a test result of NP? If a randomly selected patient gets a test result of NP, what is the probability that the patient has the third disease d3?A production engineer wants to test the effect of four machines on the strength of the parts produced. Because there might be variability from one worker to another, the engineer decides to use a randomized block design, with the workers considered as blocks. Which of the following statements is true? Worker Machine 1 2 5 73 68 3 74 75 67 73 67 75 68 78 68 73 71 75 75 69 O a. There is a difference among the machine types at a = 0.05 level. b. The "Model F-value" of 7.38 implies the model is not significant c. The "Model F-value" of 5.38 implies the model is not significant d. There is no difference among the machine types at a = 0.05 level 23 3 47235 71A system consists of four components connected as shown below in the following diagram.Assume ?, ?, ?, and ? function independently. If the probability that ?,?, ?, and ? fail are 0.10, 0.05, 0.10, and 0.20 respectively. What is the probability that the system functions?b) A process manufactures ball bearing whose diameters are normally distributed with mean 2.505?? and standard deviation 0.008??. Specifications call for the diameter to be in the interval 2.5 ± 0.01 cm. what proportion of the ball bearings will meet the specification
