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assignment a

1. an electrical unit consists of four components each of which is subject to failure.  suppose that, at a specified time, we observe this unit to determine which components are working and which have failed.  write the sample space associated with this random experiment. 

let w denote working and f denote failed.  the sample space would be

sk1Po1IGBDvwBSXFyLLSZGa0AAAAASUVORK5CYIIr0FVpCrlQq1hbtYj4GRDuBWRUyNYkTTre+ULPpX+

2. suppose the sample space is w8MgooHMhmQAAAAASUVORK5CYII=.  let Ah3KH1ZdVC6IAAAAAElFTkSuQmCC, P7QsOtpxon0ScHGICU69ueneJYv4B4EfzfMfJs+B, and GVqf0R6ASYXx9u0HKKzAAAAABJRU5ErkJggg==.  determine the sets rJ4EMhaCNY2UvgAAAABJRU5ErkJggg==

here 1D3L2AXFUIWU9OyTQYAAAAASUVORK5CYII=QAAAABJRU5ErkJggg== thus,s1c+AZFgH4yljD1VAAAAAElFTkSuQmCC so,5L3W4yP8V+QmWmTt3MOHHfAAAAABJRU5ErkJggg=

3. let Zu4Tlr8b3J6NIswAAAAASUVORK5CYII=, 7TVxAAAAQElEQVQoU2NgoAAIc3Gi6xZgY0cTEuIQ the set of natural numbers divisible by 3,

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Chapter 4 Notes

CH4
Counting Rule: mn 
Sampling with replacement: N^n
Sampling without replacement: NCn
Combination formula: NCn = N!/n!(N-n)!
General Law of addition: P (X∪Y) = P(X) + P(Y) – P (X∩Y)
Special Law of addition: P (X∪Y) =P(X) +P(Y)
General Law of multiplication: P (X∩Y) = P(X) ▪P (YIX) = P(Y) ▪P (XIY)
Special Law of multiplication: P (X∩Y) = P(X) ▪P(Y)
Law of conditional probability: P(XIY)= (P (X∩Y))/(P(Y))=(P(X)▪P(YIX))/(P(Y))
Bayes’ rule: 
Experiment: Process that produces outcomes
Event:
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Exam

Consider the following two bond issues.Bond A: 5% 15‐year bond. Bond B: 5% 30‐year bond. Neither bond has an embedded option. Both bonds are trading in the market at the same yield. Which bond will fluctuate more in price when interest rates change? Why?All other factors constant, the longer the maturity, the greater the price change when interest rates change. So, Bond B is the answer. What is the quarterly coupon payment for a $1,000 par value bond with a 5.25% coupon rate? $1,000 x 0.0525

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Three towers

The civil war: political and international dimension of the conflict. The consequences of the conflict. (TEACHER)

1 .- Political developments during the war

1.1 .- The Republican Spain

  1. Dismantling of the State and Social Revolution (July-September 1936)

The military uprising showed all the differences and tensions in the Popular Front, unions and labor organizations called for the government’s delivery of weapons to defend the Republic, but Casares Quiroga (Prime Minister) refused. A new government,

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