XYZ magazine publishes an annual issue containing information on Fortune 500 companies. The following data show the six with the largest number of Fortune 500 companies as well as th number of companies headquartered in those states. Suppose a Fortune 500 company chosen for a follow-up questionnaire. What are the probabilities of the following events? a) Let N, be the event the company is headquartered in New York. Find P (N). b) Let T, be the Event the company is headquartered at Texas. Find P (T). c) Let B, be the Event the company is headquartered in one of these six States. Find P (B).

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Q: A student is selected at random. Find the probability that         i.            the student is…

A: Infants Toddler Total Male 12 28 40 Female 34 26 60 Total 46 54 100 a) A student is…

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A: Given An Information technology company produces 41% of its computer chips at a plant in St. Louis…

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A: We have given that  The table below lists the frequency of clowns, by hair color, in a given…

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Q: A survey found that 64% of residents from a certain region have a home​ phone, 39% have a cell​…

A: Given, P(Residents having home phone) = 0.64 P(Residents having cell phone) = 0.39 P(Residents…

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A: Given data: Gender Management Marketing Others Total Male 20 30 50 100 Female 30 50 20 100…

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A: Given :  A survey of a sample of business students resulted in the following information regarding…

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Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: Total student    P(male)   P(pass)   P(male)×P(pass)=91+16234*91+92234=652718252=0.358

Q: or a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

A:

Q: Color-Blind (C) Not Color - Blind C Total Male (M) 53 37 90 Female (F) 27 11 38 Total 80 48 128

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Q: was taken in a local neighborhood to see if they owned a cat or a dog. Of those surveyed, 185 said…

A: Number of residents that have at least a cat or dog = Total number of residents - Number of…

Q: For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

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Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

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A: The following table displays the 100 senators of the 115th U.S. Congress on January 3, 2017, viewed…

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Q: . A survey of the residents in a United States city showed that 20% preferred a white elephone over…

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Q: for a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

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A: Solution: a. i. The given table of data is

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Q: The bargains Auto Mall has the following cars in stock. SUV 20 Mid-sized 20 45 Compact Foreign…

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Q: For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

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Q: Sports science researchers determined that, for those people who skateboard, 22% have never had an…

A: Consider that the random variable x defines the number of injuries for the people who skateboard.

Q: A consumer organization estimates that over a​ 1-year period 19​% of cars will need to be repaired​…

A:

Q: 20,000 USD

A:

Q: For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

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Q: Of all the Harry Potter books purchased in a recent year, about 60% were purchased for readers 14 or…

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Q: Consider the following table with information about a sample of students from Phoenix High School…

A: Formula : P(A or B) = P(A) + P(B) - P(A n B)

Q: The table below lists the frequency of clowns, by hair color, in a given fraternal order of clowns.…

A: By using the given information, we have Hair Color Count Red 20 Blue 23 Rainbow 6 Other…

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Q: It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch…

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Q: A consumer organization estimates that over a 1-year period 15% of cars will need to be repaired…

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Q: The following table lists the joint probabilities associated with smoking and lung disease among…

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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.