Reference no: EM13965474
1. A company uses three different assembly lines A1, A2, and A3 to manufacture a particular component. Of those manufactured by line A1, 5% need re- work to remedy a defect, whereas 8% of A2 s components need rework and 10% of A3 s need re- work. Suppose that 50% of all components are pro- duced by line A1, 30% are produced by line A2, and 20% come from line A3. If a randomly selected com- ponent needs rework, what is the probability that it came from line A1? From line A2? From line A3?
2. Disregarding the possibility of a February 29 birth- day, suppose a randomly selected individual is equally likely to have been born on any one of the other 365 days.
a. If ten people are randomly selected, what is the probability that all have different birthdays? That at least two have the same birthday?
b. With k replacing ten in part (a), what is the small- est k for which there is at least a 50-50 chance that two or more people will have the same birthday?
c. If ten people are randomly selected, what is the probability that either at least two have the same birthday or at least two have the same last three digits of their Social Security numbers? [Note: The article Methods for Studying Coinci- dences (F. Mosteller and P. Diaconis, J. Amer. Statist. Assoc., 1989: 853-861) discusses prob- lems of this type
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Batter walks on the fourth pitch
: In a Little League baseball game, team A s pitcher throws a strike 50% of the time and a ball 50% of the time, successive pitches are independent of one another, and the pitcher never hits a batter. Knowing this, team B s manager has instructed th..
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What is the average cost assigned to each unit
: If Job A-200 consists of 50 units, what is the average cost assigned to each unit included in the job?
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Find c hat and d hat which are normalized vectors
: Find position vector C in that plane perpendicular to position vector A. Find position vector D in that plane perpendicular to position vector B.
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What is the difference between speed and velocity
: What is the difference between speed and velocity? between velocity and acceleration? Name at least one example from everyday life where each of these concepts (speed, velocity, acceleration) is important (3 total).
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Manufacture a particular component
: 1. A company uses three different assembly lines A1, A2, and A3 to manufacture a particular component. Of those manufactured by line A1, 5% need re- work to remedy a defect, whereas 8% of A2 s components need rework and 10% of A3 s need re- work. Sup..
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Prepare a schedule of cost of goods manufactured
: Prepare a schedule of cost of goods manufactured. Assume all raw materials used in production were direct materials.
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Reason for networking an organization''s computers together
: What is the Health Insurance Portability and Accountability Act (HIPAA)? Support your answer with an example of a violation of this act by an organization (or of an individual within an organization).
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Component functions in a satisfactory manner
: A system consists of two components. The proba- bility that the second component functions in a sat- isfactory manner during its design life is .9, the probability that at least one of the two components does so is .96, and the probability that bo..
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What difference between a scalar and a vector quantity
: A car moves forward at 54 km/hr for 60 seconds, and then reverses at 18 km/hr for 30 seconds. Sketch a velocity-time graph for this motion and Calculate the displacement of the car fro its starting position
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