Provide a question that requires the Law of Total Probability. Provide an answer to the question that applies the Law of Total Probability. Be sure to phrase in terms of events.

Q: Write down definition of probability?

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

Q: If a coin is flipped four times, construct the probability distribution for the number of heads. *

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Q: Give introduction to the Probability? what are the concepts of probability?

A: Introduction to probability: Probability is defined as the chance of an event which occurs between…

Q: Text message users receive or send an average of 49.2 text messages per day. What is the probability…

A: Given that, Text message users receive or send an average of 49.2 text messages per day.

Q: In a colony of bats, 55% have been infected with White-Nose Syndrome (WNS), a fungal disease.…

A: In a colony of bats, 55% have been infected with White-Nose Syndrome (WNS), a fungal disease.

Q: Write priori and subjective definitions of probability.

A: Prior probability: A prior probability also known as classical probability refers to the likelihood…

Q: If an event is certain not to happen, what is the probability of it happening? Give a numerical…

A: Answer:- If A be an event and is certain not to happen. Then we know that the probability of the…

Q: Describe the concept of Probability?

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Q: baseball player has a lifetime batting average of 0.313. If, in a season, this player has 385 "at…

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Q: Please discuss the main ways to determine probability

A: It is needed to discuss different ways of determining the probability.

Q: Two standard dice are rolled. Find the probability that the numbers rolled equal 6.

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Q: How does the probability of an event can be determined?

A: The term probability is used widely (usually in statistics theory) as it gives the estimate of the…

Q: Write down general probability rules.

A: Probability- The probability is type of ratio where it is compared that how many times an outcome…

Q: How do you know if a probability is mutually exclusive or not?

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Q: Computer 911 Hot Line receives on average 15 calls per day asking for assistance. For any randomly…

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Q: If two dice are thrown, what is he probability that the number on the first die is less than the…

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Q: Define the term event in a probability field by giving illustration. Please give an in-depth…

A: Probability is the chance of occurrence of an event.

Q: Describe about the Independent Events of probability.

A: In probability, independent events are the ones in which the occurrence of one event does not…

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

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Q: Give an example of a not mutually exclusive events probability. The topic should be related to…

A: Generally, a mountain consists of trees, animals ,waterfalls,etc. According to probability,two…

Q: Write a simplified report about the importance of studying probability in you real life?

A: Athletes and coaches use probability to find the best sports strategies for game and compition.…

Q: Define Probability using various sources. Present a scenario where you might collect data and use…

A: A measure of the possibility that an event will occur is called probability. It also indicates the…

Q: A baseball player has a lifetime batting average of 0.213. If, in a season, this player has 365 "at…

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Q: A pair of dice is rolled. Find the probability that the sum of the two dice is 10 or higher

A: A pair of dice is rolled.

Q: Through the tollbooth passes an average of two cars every two minutes. Find the probability that in…

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Q: A single die is tossed six times. Find the probability that a two appears exactly 3 times.

A: Here to find the probability of getting 2 exactly 3 times we will use binomial distribution to solve…

Q: A standard die is rolled. Find the probability that the number rolled is less than 7

A: Given : A standard die is rolled.

Q: What does probability describes.

A: Probability is the likelihood of the occurrence of the event. It tells how often the event will…

Q: Two pair of dice are rolled. What is the probability that the sum of their faces will be equal to…

A: Given: Two pair of dice are rolled. To find : The probability that the sum of their faces will be…

Q: Describe the difference between the probability of two mutually exclusive events, two complementary…

A: Two events are considered as mutually exclusive events if the occurrence of both events cannot…

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: An urn contains forty red marbles and sixty green marbles. Two marbles are selected and discarded,…

A: An urn contains 40 red marbles and 60 green marbles. Total number of marbles in the urn is It is…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: Explain application of probability in social science.

A: The concept of probability is especially useful when one has selected a sample from the population…

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: Two dice are rolled. The sum of the dice is a 2 or 3. Compute the probability of the compound event…

A: We have given that,  Tw dice are rolled the the sample space (s) is,  s = {(1,1), (1,2),…

Q: If you know the probability that an event will happen, how do you determine the probability that the…

A: Suppose the Event is A. Let the probability of Event A is PA.

Q: What are the three approaches to assigning probability? Provide some examples of how these would be…

A: The three approaches to assigning probabilities are: Classical approach, Relative frequency approach…