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Never. They are not competing subjects!
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What is the fundamental concept for probability and statistics?
The fundamental concept is that there are many processes in the world that contain a random element. If that were not the case, everything would be deterministic and there would be no need for probability of statistics.
What is a probability that a child would be a girl versus a boy?
It would depend on the parents' genes and age. Globally, the probability is approx 0.483
If the probability of an event is 0.42 then what is the probability of its component?
I haven't heard of a component with regards to statistics. If, by chance, you are referring to the complement, it is the probability that the event does not occur. In this case, the complement would be 0.58.
Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota celica during its lifetime?
inferential statistics
Importance of probability in life?
I can not give you a simple answer. It is very individual and subjective. I will assume that you are referring to probability theory. Statistics is based on an understanding of probability theory. Many professions require basic understanding of statistics. So, in these cases, it is important. Probability theory goes beyond mathematics. It involves logic and reasoning abilities. Marketing and politics have one thing in common, biased statistics. I believe since you are exposed to so many statistics, a basic understanding of this area allows more critical thinking. The book "How to lie with statistics" is a classic and still in print. So, while many people would probably say that probability theory has little importance in their lives, perhaps in some cases if they knew more, it would have more importance.
I am confused over pure and applied maths If I want to go on to study statistics which area would it be best to go into pure or applied maths?
Statistics (and Probability) would generally come under pure maths.
Is alpha the probability that the test statistic would assume a value as or more extreme than the observed value of the test?
Alpha is the probability that the test statistics would assume a value as or more extreme than the observed value of the test, BY PURE CHANCE, WHEN THE NULL HYPOTHESIS IS TRUE.
Where can you find statistics on protection orders versus injunctions?
There would be no way to determine that, as they are basically one and the same. The different types of injunctions are determined by the particular situation to which they are applied.
What is the probability that all would be wearing their seat belts write as a percent to the nearest tenth?
sounds like a homework problem in statistics. You didnt provide enough information
In what branch of mathematics would one use a normal distribution table?
A distribution table would be primarily used in the field of statistics and probability. Collecting and interpreting data is much easier when compiled in this format.
Why is it called experimental probability?
It's difficult to think of a real event to which an exact probability can be assigned. We say that flipping a coin yields 'heads' with probability 1/2 but we do not know that definitely. The only way of assigning a probability in the sense of numbers of heads versus total numbers of flips is by experiment. (Be aware though that there are other interpretations of the word probability.) If I were to flip a coin 500 times and obtained 249 heads then the experimental probability of obtaining a head would be 249/500 or 0.498.
Definition of theoretical probability?
The term "theoretical probability" is used in contrast to the term "experimental probability" to describe what the result of some trial or event should be based on math, versus what it actually is, based on running a simulation or actually performing the task. For example, the theoretical probability that a single standard coin flip results in heads is 1/2. The experimental probability in a single flip would be 1 if it returned heads, or 0 if it returned tails, since the experimental probability only counts what actually happened.
