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Is it true the special rule of addition is the events must be mutually exclusive?
yes
What important question must you answer before computing an or probability?
You need to know whether or not the events are mutually exclusive.
Which one is more convienent mutually exclusive or non mutually?
It must be "mutually exclusive" since "non mutually" does not even mean anything!
Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?
Not quite. The listing must also be exhaustive: it must contain all possible outcomes.For the roll of a fair cubic die, consider the following:Prob(1) = 1/6Prob(2) = 1/6This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.
When creating a histogram it's important to ensure that the classes of data satisfy which properties?
When creating a histogram, the classes of data should be mutually exclusive, meaning each data point must fall into one and only one class. Additionally, the classes should be exhaustive, covering the entire range of the data without gaps. The classes should also be of equal width to maintain consistency in representation, unless using variable-width bins to highlight specific data distributions. Finally, the number of classes should be appropriate to balance detail and clarity, avoiding overly cluttered or overly simplified representations.
Is it true the special rule of addition is the events must be mutually exclusive?
yes
What important question must you answer before computing an or probability?
You need to know whether or not the events are mutually exclusive.
Which one is more convienent mutually exclusive or non mutually?
It must be "mutually exclusive" since "non mutually" does not even mean anything!
When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00?
Yes.
What does the expression mutually exclusive mean?
Mutually exclusive means if one thing is true the other must be false and vice versa.If A is true, B is false. If B is true, A is false.For instance,The ball was totally red.The ball was totally blue.These are mutually exclusive because the ball can only be one or the other.The ball was red.The ball was blue.These are NOT mutually exclusive because the ball could also be red AND blue.
When do you use the addition rule?
The addition rule is used in probability when you want to find the likelihood of either of two mutually exclusive events occurring. It states that the probability of either event A or event B happening is the sum of their individual probabilities: P(A or B) = P(A) + P(B). This rule is applicable when the events cannot happen at the same time, such as rolling a die and getting a 3 or a 5. If the events are not mutually exclusive, you must subtract the probability of both events occurring together.
What are the characteristics of partition in technical writing?
1. the divisions must be coordinate 2.the divisions must be mutually exclusive 3. the divisions must not overlap 4. the divisions must be complete
What does mutual exhaustive?
Mutually exhaustive refers to a set of outcomes or events in which all possible scenarios are accounted for, ensuring that at least one of the outcomes must occur. In other words, when events are mutually exhaustive, they cover the entire sample space, leaving no possibility unconsidered. This concept is often used in probability and statistics to ensure comprehensive analysis of events. For example, the outcomes of flipping a coin (heads or tails) are mutually exhaustive.
What is the difference between mutually exclusive and exhaustive events?
Each is quite a different property of a set of sets. With mutual exclusivity, there is no member is one set that is also in the other set. For more than two sets, there is no member found twice amongst all of them. For exhaustivity, we must imagine another set. A universal set, whether it be our universe of discourse, or just a really big set. Several sets can be said to be exhaustive if, unioned together, they equal the universal set. sets can be exhaustive without being exclusive, and exclusive without being exhaustive. When imagining events, think of them as things that can be stored in sets. The universal set would be the set of all possible events.
Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?
Not quite. The listing must also be exhaustive: it must contain all possible outcomes.For the roll of a fair cubic die, consider the following:Prob(1) = 1/6Prob(2) = 1/6This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.
Are some rectangles also trapezoids?
True. All rectangles are trapezoids. (In England a trapezoid is known as a trapezium.)
Why must the paired statements in a dichotomous key be opposite?
The paired statements in a dichotomous key must be opposite in order to present two mutually exclusive choices that lead to the correct identification of an organism. This system helps users narrow down the possibilities at each step until reaching the correct classification.
