Suppose that a sample space has five outcomes {O1,02,03, 04, O5J with corresponding weights w1118W22W32and w4Answer the following questions:61. What is the value of w5?2. What is Pr[{O3, 04}1?3. What is Pr[{O1, O2, 03} U {02,O3, 04}1?4. What is Pr[{O1, O4, O5' n (02,O3, 04}1?5. What is Pr[{O1 }n{02}]?

As per norms, the first three questions are answered. To compute the required probabilities

Answered: Suppose that a sample space has five…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose all 8 possible outcomes of an experiment are equally likely and denoted as E 1 ,E 2 ,E 3 ,E 4 ,E 5 ,E 6 ,E 7 ,E 8 ,Hf =\ E 1 ,E 3 ,E 4 ,E 5 ,,B=\ E 2 ,E 4 ,E 7 ,E 8 \ then the unlon of A and B are collectively exhaustive. Select one : True or False
13 14 15 16 17 18 19 (a) A botanist at a nursery wants to inspect the health of the plants at the nursery. Which of the following best describes a systematic sample of plants? The botanist takes a list of the plants and selects every 3" plant until 78 plants are selected. The botanist forms groups of 13 plants based on the heights of the plants. Then, he randomly chooses 6 groups and selects all of the plants in these groups. All of the plants that are in one particular room at the nursery are easily accessible. So, the botanist selects the 78 plants in this particular room. (b) The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees? The organizers select the first 60 attendees who register for the conference because these attendees are easily accessible. The organizers take a list of the attendees and select every 6" attendee until 60 attendees are selected. The organizers assign each…
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A population consists of the following N=4: 66, 84, 42, 68 What is the u and o?
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H A consulting company would like to evaluate four different methods for training its employees to do a particular job. There are 24 employees that was randomly assign to one of the four methods of training. The employees were trained and tested, and the final results (average performance marks) were collected as shown in Table 6. Method 1 45 59 48 46 38 47 Method 2 21 12 14 17 13 17 Table 6: Average performance marks Method 3 37 32 15 25 39 41 Method 4 16 11 20 21 14 7 Perform the analysis of variance (ANOVA) at the 0.05 level of significance and indicate whether or not the training differs significantly for the four methods.
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