Discuss the concept of the basic probability theory and the formula for probability. Apply the formula by providing at least two examples to calculate probability. A) The meaning of the basic probability theory. B) The probability formula. C) Two examples and calculation of the probability using the probability formula. D) The discussion of the calculation.

Q: Can you show an example of what Fundamentals of probability: Continuous How is this used in math?

A: A continuous random variable is a variable which can take on an infinite continuum of possible…

Q: The probability that a painting job is finished in 3-9 days is 0.42, in 9-12 days is 0.67 and in…

A: We have to find out given probabiity..

Q: Write down definition of probability?

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

Q: What probability distribution can you use to predict the future price of a goods given the previous…

A: Probability distribution: They are used to describe the probabilities of a random variable. It shows…

Q: Suppose a baseball player gets a hit with the probability, every time he steps to the plate. What is…

A: Given that, Suppose a baseball player gets a hit with the probability, every time he steps to the…

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5…

A: Given that each digit could be a number between 0 and 4.  So for each digit we have 5 choices.…

Q: What can you say about nature of probability?

A: The probability refers to the chances of an event to occur. It is nominal in nature and can never be…

Q: Discuss the applications of error probability?

A: Before discussing the applications of error probability, first we discuss about the error…

Q: What is the daily probability of an event that has occurred once in 3 years?

A: Given: An event that has occurred once in 3 years. The probability of the event occurring in a…

Q: What result from probability theory is often used to formulate a linear difference equation…

A: Bayes' theorem In probability theory and statistic, Bayes' theorem (alternatively Bayes' law or…

Q: The probability of getting exactly 1 girl in 8 births

A: Let the random variable x is number of girls. The probability of getting a girl and boy are equal.…

Q: The probability that a person in the United States has type B+ blood is 11%. Five untreated people…

A: We are given that the probability that a person in the United States has Type B+ blood = 0.11. Also…

Q: Describe the difference between theoretical probability and empirical probability.

A: There are equal chances of a head or a tail coming up when you flip a coin. So we can say that the…

Q: Explain the concept of "two-tailed probability"?

A: The concept of two-tailed probability relates to the testing of the hypothesis to study the…

Q: explain the  physical meaning of entropy of  a random variable

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

Q: If the probability of catching an animal in a trap is 0.1 , then what is the probability that, out…

A: Given that, The probability of catching an animal in a trap is 0.1 Sample size = 5

Q: The probability that it will rain on a given day is 0.23. What is the probability that it will not…

A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

Q: Fast experience shows that the probability of a sixty year old man will alive within sixty year is…

A: The probability of a sixty year old man will alive within sixty year is 23, then the probability of…

Q: Define PROBABILITY THEORY

A: Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: You roll a 4-sided die 10 times What is the probability you roll a 1 exactly 5 times? What is the…

A: In question, Given a 4 sided rolled 10 times then we'll find the probability that, (1). Getting 1…

Q: An agent sells life insurance policies to five equally aged, healthy people. According to recent…

A: Given the probability that a person lives for 30 years or more is 35.

Q: True or False In a probability model, all possible outcomes together must have a probability of 1.

A: The probability is the chance of the occurrence of an event. It is required to check whether the…

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

Q: The random variable X has the probability function shown in Figure 1. (a) Determine if the random…

A: Given that The random variable X has the probability function shown in Figure 1.   (a) Determine if…

Q: Assuming that one in 80 births is a case of twins, calculate the probability of 2 or more sets of…

A:

Q: A valid probability is any number between -1 and 1. True or False

A: We have given that,  A valid probability is any number between -1 and 1. We have to check the above…

Q: Can the value 23302330 be a probability?

A: We know that, by an axiomatic definition of probability, Probability of any event must lie between…

Q: Explain precisely what the probability is that is computed to reach the conclusion that a difference…

A: It is a method of statistical inference the researcher wants to prove his claim based on sample…

Q: How do you find experimental probability

A: Theoretical probability: This is the probability value that is expected to happen. It is the ratio…

Q: A certain popular song is played on a radio station once in every 15 songs. Suppose you have a long…

A:

Q: (c) Find the probability that the student is in first or second grade. The probability that the…

A: It is given that  Frequency of first grade students = 3775 Frequency of second grade students = 3602…

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: Using a standard 6 sided die is rolled either a two or a five on the last six rolls of the die what…

A: Using a standard 6 sided die is rolled either a two or a five on the last six rolls of the die When…

Q: What is the probability that a stuent participates in more than two activities?

A: Given that the probability distribution table asx01234P(x)0.040.140.460.210.15

Q: (b) Find the probability that the student is in ourth grade. The probability that the student is in…

A: It is given that the grade of students from 1 to 8 and frequency of each grade.

Q: If the probability of an event occurring P(E) plus the probability of an event not occurring P(not…

A:

Q: How do you claculate Empirical probability?

A: Solution: Let A be the event.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.