A system is composed of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector ( x 1 , x 2 , x 3 , x 4 , x 25 ) , where x i is equal to 1 if component i is working and is equal to 0 If component i is failed. a. How many outcomes are in the sample space of this experiment? b. Suppose that the system will work if components 1 and 2 are both working, or If components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let it be the event that the system will work. Specify all the outcomes in IV. c. Let A be the event that components 4 and 5 are both failed. How many outcomes are contained in the event A? d. Write out all the outcomes in the event AW.
A system is composed of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector ( x 1 , x 2 , x 3 , x 4 , x 25 ) , where x i is equal to 1 if component i is working and is equal to 0 If component i is failed. a. How many outcomes are in the sample space of this experiment? b. Suppose that the system will work if components 1 and 2 are both working, or If components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let it be the event that the system will work. Specify all the outcomes in IV. c. Let A be the event that components 4 and 5 are both failed. How many outcomes are contained in the event A? d. Write out all the outcomes in the event AW.
A system is composed of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector
(
x
1
,
x
2
,
x
3
,
x
4
,
x
25
)
, where
x
i
is equal to 1 if component i is working and is equal to 0 If component i is failed.
a. How many outcomes are in the sample space of this experiment?
b. Suppose that the system will work if components 1 and 2 are both working, or If components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let it be the event that the system will work. Specify all the outcomes in IV.
c. Let A be the event that components 4 and 5 are both failed. How many outcomes are contained in the event A?
d. Write out all the outcomes in the event AW.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
3. A different 7-Eleven has a bank of slurpee fountain heads. Their available flavors are as follows: Mountain
Dew, Mountain Dew Code Red, Grape, Pepsi and Mountain Dew Livewire. You fill five different cups full
with each type of flavor. How many different ways can you arrange the cups in a line if exactly two Mountain
Dew flavors are next to each other?
3.2.1
Answer questions 8.3.3 and 8.3.4 respectively
8.3.4 .WP An article in Medicine and Science in Sports and
Exercise [“Electrostimulation Training Effects on the Physical Performance of Ice Hockey Players” (2005, Vol. 37, pp.
455–460)] considered the use of electromyostimulation (EMS) as
a method to train healthy skeletal muscle. EMS sessions consisted of 30 contractions (4-second duration, 85 Hz) and were carried
out three times per week for 3 weeks on 17 ice hockey players.
The 10-meter skating performance test showed a standard deviation of 0.09 seconds. Construct a 95% confidence interval of the
standard deviation of the skating performance test.
8.6.7 Consider the tire-testing data in Exercise 8.2.3. Compute a 95% tolerance interval on the life of the tires that has confidence level 95%. Compare the length of the tolerance interval with the length of the 95% CI on the population mean. Which interval is shorter? Discuss the difference in interpretation of these two intervals.
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Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY