A manufacturer of small motors is concerned with three major types of defects. If A isthe event that the shaft size is too large, B is the event that the windings are improper andC is the event that the electrical connections are unsatisfactory, express in words whatevents are represented by the following regions of the Venn diagram given below:(a) region 2 (b) regions 1 and 3 together (c) regions 3, 5, 6 and 8 together.

Answered: Image /qna-images/answer/7e761ef8-b080-4e2d-bcf5-eaec8471edf0.jpg

Answered: A manufacturer of small motors is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that we have a data set of doctoral students in economics. This data set includes whether each student had a major in economics from his or her undergraduate institution and whether the same student earned a master's degree before starting a PhD program. Also, this data set includes information on which subfield of economics the student is interested in. Let's define the events E, M, FMicro, FMacro, and FMetrics as follows: E = {Economics major} M = {Having a master degree} FMicro = {Choosing microeconomics as a sub-field} FMacro = {Choosing macroeconomics as a sub-field} FMetrics = {Choosing econometrics as a sub-field} FMicro FMacro FMetrics Total E∩M .150 .150 .100 .400 E∩MC .050 .075 .050 .175 EC∩M .050 .100 .050 .200 EC∩MC .050 .150 .025 .225 Total .300 .475 .225 1) Suppose we learn that a student got a major in economics. What probability should we assing to the event that this student does NOT have a master's degree? 2) Suppose we learn that a…
6.Let A and B be any disjoint events. Which of the following is true? A. If P(A) = 1, then P(B) =0 B. If P(A) = 0, then P(B) = 1. C If P(A) = 0, then P(B) = 0. D. If P(A) = 1, then P(B) =1.
1. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized below: Shock resistance High 70 16 Low Scratch resistance High Low 9. Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. Determine the number of disks in: a. A' b. В C. ANB d. AuB 2. The rise time of a reactor is measured in minutes (and fractions of minutes). Let the sample space for the rise time of each batch be positive, real numbers. Consider the rise times of two batches. Let A denote the event that the rise time of batch 1 is less than 72.5 minutes, and let B denote the event that the rise time of batch 2 is greater than 52.5 minutes. Describe the sample space for the rise time of two batches graphically and show each of the following events on a two-dimensional plot: а. А b. B' C. ANB d. AUB 3. Samples of emissions from three suppliers are classified for…
3. Consider the given probablity P(a)=0.7 p(b)=0.8 p(aUb)=o.8 a) Find p(aUb) b) Venn diagram c) Find p(a/b) d) find p'(a'∩ b) e) find (b/a') f) events a and b are
Given two events A and B, consider the following statements: (a) A and Br A' are disjoint. (b) (AN B)' = A'U B'. (c) (AU B)' = A' N B'. Verify these statements by drawing a Venn diagram for each (a), (b) and (c) and covering • for (a), the interiors of A and BN A'; • for (b), the interiors of (AN B)', A' and B'; • for (c), the interiors of (A U B)', A' and B'
1. A bag contains 12 gambling chips: 8 of these chips have a zero marked on them, the other 4 chips have a one marked on them. Another bag also contains 12 chips: 4 marked zero and 8 marked one. Players randomly select one chip from each bag and their score is the larger of the two numbers on the chips that they select. a) b) c) d) f) Present the probability distribution of the scores that could be achieved by a player in one game. Compute the mean (ux) and standard deviation (x) of this distribution. Present the sampling distribution of the total score that a player could achieve in three games, assuming chips are returned to their bags after each game. Present the sampling distribution of the mean score that could be achieved by a player in three games, assuming chips are returned to their bags after each game. Compute the mean (μ) and standard deviation (o) of the sampling distribution in part D. Confirm that u = μ that o =T. Vn What is the mean and standard deviation of the…
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7. Given P(A) = 1/3 and P(B) = 1/2 and P(A U B) = 2/3 (g) Construct a set up where event C is dependent with event A but Independent to event B (hint: think rolling a fair dice and flipping a fair coin)

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