Are exhaustive events necessarily mutually exclusive? Are mutually exclusive events necessarily exhaustive? Explain your answers.

Q: The following table summarizes the number of students at Kiddies Headstart Preschool, categorized by…

A: Given: The objective is to justify whether the events ‘Infant’ and ‘Female’ are Independent or not.

Q: Are the events "Rural" and "West" mutually exclusíve? Explain. (Type your answer in the box below.)

A: Two events A and B are said to be mutually exclusive if both the events cannot happen at the sample…

Q: With this information, does it seem that finding text messaging helpful in staying connected and…

A: Independent events: When happening of one event does not Influence or effect the happening of…

Q: Use a formula to determine the expected probability of an event

A: we have to tell among which of the option describes the theoretical proability.

Q: Are owning a bike and owning car independent events? Why or why not ?

A: Independent events: Two events are said to be independent events when the outcome of one event does…

Q: EQueston Hep A study found that people who suffer from obstructive sleep apnea are at increased risk…

A: In this case, the study implies that people with obstructive sleep arena having increased risk of…

Q: Are Vehicle type (Electric or Combustion)" and "Gender (Male or Female)' mutually exclusive events?…

A: The data is given by   Electric Combustion Total Male 43 42 85 Female 37 55 92 Total 80 97…

Q: Define statistics the fellowing tems of in Your Own words and explain suitable example with…

A: It is an important part of statistics. It is widely used.

Q: What is the difference between independent events and dependent events?

A: Dependent events influence the probability of other events – or their probability of occurring is…

Q: Compute the probability of spam emails given that it does not contain the word "promotion’. (iv) (v)…

A: Given: P (S) = 0.30 P (D) = 0.70 P (P| S) = 0.80 P (P | D) = 0.10

Q: When are two events said to be Independent? give a real-life example to explain the answer.

A: Independent events: Let A and B be two events. The events A and B are said to be independent if…

Q: 20. What is the probability of an actually event?

A:

Q: Are the events 'Not being a COVID patient' and 'Having a life-threatening issue' mutually exclusive?…

A: suppose,   A: Not being a covid patient. B: having life-threatening issue   If a and b not happen…

Q: What is event? Differentiate between simple and compund event

A: Given, Any subset of a sample space is called an event.

Q: Explain differences between Independent Events and Mutually Exclusive Events (Links to an external…

A: Here we want to explain independent events and mutually exclusive events.

Q: Define Coverage probabilities?

A:

Q: What are the objective and subjective interpretations of Probability?

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: If car purchase and weather on test drive were independent events, what would be the expected number…

A: A chi-square test is a non parametric inferential test.

Q: How would you explain the difference between mutually exclusive and independent events?

A: Consider an experiment of tossing two coins, Then the sample space is  Ω = { HH, HT, TH, TT…

Q: What does it mean for four events to be exhaustive?

A:

Q: When are two events said to be mutually exclusive? give a real-life example to explain the answer.

A: Mutually exclusive events:   Events are said to be ‘mutually exclusive’ when two or more of them…

Q: Explain differences between Independent Events and Mutually Exclusive Events.

A: Random Experiment: An experiment whose results are dependent on chance and cannot be predicted in…

Q: what is the expected number is successes

A: Solution:  Given information:  Let X represent the number of US female citizens.  p= 0.51…

Q: what is the expected number of tails?

A:

Q: Explain why an event and its complement are always mutually exclusive and exhaustive.

A: Mutually exclusive eventsTwo or more events are said to be mutually exclusive if they have no…

Q: What is conditional probability, what kind of classifier uses them to make predictions.

A: Conditional Probability can be defined as the likelihood of an event or happening of an event based…

Q: Explain the difference between the multiplication rules for independent events dependent events. Use…

A:

Q: What is the difference between indepedent events and dependent events probabilities? Give examples.

A: Introduction:Consider two events, A and B.Independent Events:The events A and B are said to be…

Q: What’s the difference between an outcome and an event

A: If you like the solution then please give it a thumbs up.. The Answer is: Major Difference: An…

Q: "using a breath test" and `using a blood test". Are these events independent?

A: Here define events  Breath test : Br Blood test : Bl

Q: Suppose that you have an intelligent friend who has not studied probability. How would you explain…

A: In probability theory, two events are said to be mutually exclusive if they cannot occur at the same…

Q: Describe about the Mutually Exclusive Events?

A:

Q: are passing statistics class and biology class independent events? why or why not?

A: The two events are said to be independent of each other if the probability of occurrence of one…

Q: Scenario:Asking your classmates about their breakfast what is discrete random variable?

A: Discrete random variable taking the countable number of distinct values only like 0,1,2,3,.....etc.…

Q: What is the difference between mutually exclusive events and collectively exhaustive events? Explain…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: What is the multiplication rule for independent events?

A: Multiplication rule for independent events

Q: With this information, does it seem that finding text messaging helpful in staying connected and…

A: Independent events: When happening of one event does not Influence or effect the happening of…

Q: a) Explain what is meant by conditional probability b) Differentiate between independent and…

A: Introduction: Consider two events X and Y.

Q: he concept of probability, including the notion of an experiment, outcomes, and sample space. How…

A: Probabilities The ratio of the number of outcomes favorable for the event to the total number of…

Q: How does the probability of union of disjoint events exhibit itself when dealing with a (discrete or…

A: Introduction: Suppose there are n events, A1, A2, …, An. The general formula for the probability of…

Q: What is the difference between a simple event and a joint event? Explain and give example(s

A: Step 1

Q: Draw a driagram of what it means when two events are not mutually exclusive but independent

A:

Q: describe what it means for two events to be statistically dependent

A: Two events are said to be dependent if the outcome of 1st event is influenced by the outcome of 2nd…

Q: Are the events A and B mutually exclusive or not?

A: A={even number}={28} B={multiple of 3}={15, 21, 33}

Q: The assessment of the probability of a negative event against the aggregate severity of the related…

A: Given: A statement: The assessment of the probability of a negative event against the aggregate…

Q: What does it mean for four events to be mutually exclusive?

A: Mutually exclusive events:The mutually exclusive events can be defined as the events that are never…

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.