What are Posterior Probabilities?

Q: Theoretical probability is what we expect to happen, where Experimental probability is what actually…

A: Given: The objective is to compare Theoretical and Experimental Probability and to select the more…

Q: From Theoretical and Experimental Probability, which of the two method is more appropriate and valid…

A: Theoretical probability is determined based on the prior information. Theoretical probability :…

Q: What is the probability that a random variable will have values of three or less?

A: Given that  Probability mass function  X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…

Q: What are the example of experiments or activities wherein we can apply the computation of…

A:

Q: If the probability of mistakenly failing to reject the null hypothesis is 0.20, what is the…

A: A Type I error is when we reject a true null hypothesis. Lower values of α make it harder to reject…

Q: Bayes' Theorem uses prior probabilities with additional information to compute posterior…

A: We want to Know the given Statement is true or not

Q: Why is it possible to define the probability of committing a Type I error but impossible to know the…

A: probability of type I error is the α which is level of significance that we set for rejection of…

Q: What are some tips and advice for approximating probabilities with the emperical method?

A: The empirical rule states that if a distribution is unimodal and symmetric i.e. more or less…

Q: What is the probability of randomly selecting a cat?

A: here given Table    Cat Dog Total student 11 29 40 professor  20 17 37   31 46 77 use…

Q: When we find conditional probabilities, do we need to check to see if they are mutually exclusive or…

A: Yes we need to check to see if they are mutually exclusive or if they are independent.    If A and B…

Q: What can be done to decrease the probabilities of committing Type I and Type 2 errors?

A:

Q: How does the deviation calculation help you determine whether your coin tosses are close enough to…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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: The sum of the probabilities of all outcomes in a sample space is

A: Here We will use the Basic law of probability

Q: In order to calculate the probabilities of daily sales as in the third column, which column should…

A: The probability of occurring of an event is calculated by the following formula: P(event)=no. of…

Q: How do you recognize when a probability problem requires the use of the basic rules of probability,…

A: a) If the total number of favorable cases and total possible cases are given then it is appropriate…

Q: How can you find the expectation value of a discrete random variable X?

A: The expected value of discrete random variable is X is the summation of the product of the values of…

Q: What is the Advantage and Disadvantage of Using the Binomial Probability Distribution

A: A binomial probability distribution is used when the number of trials are few and the probability of…

Q: The probability of rejecting a null hypothesis that is true is called

A: The probability that we reject the null hypothesis when it is true is called Type I error.

Q: Should the one-tailed or the two-tailed probability be used to assess performance  of the students?

A: The tail of the test depends on the alternative hypothesis of the test. The possible alternative…

Q: Enumerate and differentiate the approaches in calculating probabilities.

A: Since the question number is not specified, we'll be answering the first question only. Please…

Q: What does it mean by “ probability never changes”?  Does that mean that whatever the amount of…

A: Probability:The probability of event represents the number of possible outcomes to certain event,…

Q: How does the Bayes Theorem differ from the conditional probability?

A: Conditional probability of an arbitrary event is the probability of occurrence of that event given…

Q: Calculate the posterior probability

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 is the probability of selecting a male who prefers fish? What is the probability of selecting…

A: (a) Here we need to find the probability of selecting a male who prefers fish. Number of males who…

Q: contestant plays the game 42 times and obtains the following frequencies: 15, 10 -5% level of…

A: *answer:   A pinball machine has five holes of varying sizes in which the ball may land. The payoff…

Q: In Chi-square analysiş, we should combine categories if expected probabilities are less than 5. if…

A: Solution: In Chi-square analysis, categories with expected frequencies are combined because the chi…

Q: Describe how a probability value is used to cast doubt on the null hypothesis?

A:

Q: How do I find a p-value using the binomial probability distribution?

A: Binomial probability distribution : A Binomial is a type of distribution which has two possible…

Q: If a policy is selected at random from those held by females, what is the probability that it is a…

A:

Q: The table shows the probabilities of winning or losing when the team is playing away or is playing…

A: Home  Away  Total Win 0.2 0.05 0.25 Loss 0.6 0.15 0.75 Total  0.8 0.20 1.00 To determine…

Q: Describe about the Alternative Approach to Conditional Probabilities?

A: Conditional probability is defined as the probability of occurrence of an event given that another…

Q: What is the probability researchers will reject their null hypothesis

A: From the available information,  Population mean, μ= 0.7 Population Standard deviation,σ = 1.5…

Q: What is the relationship between the joint probability and marginal probabilities of two independent…

A: The relationship between the joint probability and marginal probabilities of two independent events…

Q: When playing the game clash of clans, red army six has earned three stars during 47 of her last 63…

A: Number of war attacks in which red army six earned three stars = 47 Total number of war attacks = 63

Q: What is the expected outcome in a fair game?

A: here use basic of expected value  expected value  = ∑xp(x)

Q: Determine the likelihood of the event and explain why. A 20-sided dice is rolled 9 times and a 21…

A: The likelihood  of an event is determined by the possibility of the event to occur.

Q: LIst the strenghts and weaknesses of subjective probability as opposed to the classical definition…

A: Classical definition of probability includes possibility or chance of event occurs. for example if…

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always…

A: The requirements for a discrete probability distribution are,

Q: What is required for a probability distribution to be considered binomial?

A: To consider a probability distribution as binomial, if it has a fixed number of indipendent trials…

Q: Indicate whether the statement is true or false, and justify your answer.All perceived probabilities…

A: False.

Q: The probability of failing to reject a false null hypothesis is often referred to as?

A: Type II error:   A Type II error is fail to reject the null hypothesis when it is false.

Q: 2a. What is the probability a salesperson selected at random will have a fair potential for…

A: Probability: The formula for probability of an event E is as follows: P(E) = (number of favorable…

Q: How is the probability distribution of a variable defined?

A: Probability distribution of a variable

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.