Learning Materials
Features
Discover
Chapter 4: Q167SE (page 281)
Identify the type of continuous random variable鈥攗niform,normal, or exponential鈥攄escribed by each of the following probability density functions:
a.
b.
c.
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
4.112 California鈥檚 electoral college votes. During a presidential election, each state is allotted a different number of votes in the Electoral College, depending on the population. For example, California is allotted 55 votes (the most) while several states (including the District of Columbia) are allotted 3 votes each (the least). When a presidential candidate wins the popular vote in a state, the candidate wins all the Electoral College votes in that state. To become president, a candidate must win 270 of the total of 538 votes in the Electoral College. Chance(Winter 2010) demonstrated the impact on the presidential election of winning California. Assuming a candidate wins California鈥檚 55 votes, the number of additional Electoral College votes the candidate will win can be approximated by a normal distribution with votes and votes. If a presidential candidate wins the popular vote in California, what are the chances that he or she becomes the next U.S. president?
Purchasing decision. Suppose you are a purchasing officer for a large company. You have purchased 5 million electrical switches, and your supplier has guaranteed that the shipment will contain no more than .1% defectives. To check the shipment, you randomly sample 500 switches, test them, and find that four are defective. Based on this evidence, do you think the supplier has complied with the guarantee? Explain
Consider the probability distributions shown here:
Public transit deaths. Millions of suburban commuters use the public transit system (e.g., subway trains) as an alter native to the automobile. While generally perceived as a safe mode of transportation, the average number of deaths per week due to public transit accidents is 5 (Bureau of Transportation Statistics, 2015).
a. Construct arguments both for and against the use of the Poisson distribution to characterize the number of deaths per week due to public transit accidents.
b. For the remainder of this exercise, assume the Poisson distribution is an adequate approximation for x, the number of deaths per week due to public transit accidents. Find and the standard deviation of x.
c. Based strictly on your answers to part b, is it likely that more than 12 deaths occur next week? Explain.
d. Find. Is this probability consistent with your answer to part c? Explain.
4.139 Load on timber beams. Timber beams are widely used inhome construction. When the load (measured in pounds) perunit length has a constant value over part of a beam, the loadis said to be uniformly distributed over that part of the beam.Uniformly distributed beam loads were used to derive thestiffness distribution of the beam in the American Institute of
Aeronautics and Astronautics Journal(May 2013). Considera cantilever beam with a uniformly distributed load between100 and 115 pounds per linear foot.
a. What is the probability that a beam load exceeds110 pounds per linearfoot?
b. What is the probability that a beam load is less than102 pounds per linear foot?
c. Find a value Lsuch that the probability that the beamload exceeds Lis only .1.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine