#14 please
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
#14 please
![Questions 12-16: The article “Effect of Environmental Factors on Steal Plate Corrosion" describes an
experiment in which nine steel specimens were submerged in seawater at various temperatures (°C). Afterwards,
the corrosion rates were measure (mm/yr). The researchers decided to use a simple linear regression approach.
12. The image below displays the result from the article. Fill in the blanks to make the image complete.
(Hint: There are 12 blank)
Summary of Fit
RSquare
RSquare Adj
Root Mean Square Error
0.649448
1.024444
Mean of Response
Observations (or Sum Wgts)
Analysis of Variance
Sum of
Source
DF
Squares Mean Square
F Ratio
Model
0.61217009
Error
Prob > F
C. Total
0.88302222
0.0053*
Parameter Estimates
Term
Estimate Std Error t Ratio Prob>|t|
Intercept
0.3939595
0.171536
0.0553
Temperature 0.0355092 0.008927
0.0053*
13. What is the least squares equation for predicting corrosion from temperature?
14. Two steel specimens whose temperatures differ by 10°C are submerged in seawater. By how much
would you predict their corrosion rates to differ?
15. What is the correlation coefficient?
16. Is temperature a significant predictor of corrosion? Use a = 0.05](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0259c9da-a893-42a4-9aeb-f2e84d3b7404%2F3de9e0d9-b019-4730-8cea-df38f0d41e6a%2F5zp581f_processed.png&w=3840&q=75)
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