. An international company has submitted bids on two separate federal government defence contracts, A and B. The company feels that it has a 60% chance of winning contract A and a 30% chance of winning contract B. If the company wins contract B then the company believes it has an 80% chance of winning contract A. a. What is the probability that the company will win both contracts? b. What is the probability that the company will win at least one of the two contracts? c. If the company wins contract B, what is the probability that it will not win contract A?

Q: (a) What is the probability that none of the pens in a packet will be defective? (b) What is the…

A: The FLOW RITE pen company knows that the pens it produces will be defective with probability 0.03…

Q: A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25%…

A: Given A particular telephone number is used to receive both voice calls and fax messages. Suppose…

Q: If a shaft is selected at random, what is the probability that the shaft conforms to surface finish…

A:

Q: It was estimated that 30% of all seniors on a campus were seriously concerned about employment…

A: Let us denote: E=seriously concerned about employment prospects G= seriously concerned about grades,…

Q: Axline Computers manufactures personal computers at two plants, one in Texas and the other in…

A: I have solve first three parts. Given that the Texas plant has 40 employees and the Hawaii plant has…

Q: Mrs. Harvey’s algebra class has 42 students, classified by academic year and gender as follows.…

A: The table represents the classification of algebra class by academic year and gender.   Male…

Q: (a) If one of the participants is selected at random, what is the probability that he or she favors…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: The Florida lottery game Mega Money is played by choosing four numbers from 1 to 44 and one number…

A: Given Data

Q: A corporation was concerned with the basic educational skills of its workers and decided to offer a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A record-store owner assesses customers entering the store as high school age, college age, or…

A:

Q: A Real estate company with 14 employees in their central office, 8 in their north office, and 6 in…

A:

Q: Fem Blue Fem Brown Fem Green Total Male Blue 56 25 20 101 Male Brown 14 25 11 50 Male Green 14 9 30…

A:

Q: a. What is the probability that the consumer is 18-24 years of age, given Crunchicles? ne/sne b.…

A:

Q: 18. On the average, two students per hour report for treatment to the first-aid room of a large…

A: Givenon average 2 students per hour report for treatmentλ=2x~poisson(λ=2)P(X=x)=e-λ×λxx! ; x≥0

Q: A state senator believes that 25% of all senators on the Finance Committee will strongly support the…

A: Given data, p=0.25 n=5

Q: Traffic police has located speed radar traps at four locations Alor Setar, Dengkil, Seremban, and…

A: Given data Traffic police has located speed radar traps at four locations Alor Setar, Dengkil,…

Q: (a) What is the probability that the second marble is blue, given that the first marble was green?…

A: Here given tree diagram of marbles drawn

Q: A survey of families revealed that at a particular holiday meal, 51% of all families eat turkey, 30%…

A: The given information is represented in the following Venn diagram:

Q: ParFore created a website to market golf equipment and golf apparel. Management would like a special…

A: Obtain the probability that a current visitor to the website is female. From the information, given…

Q: Suppose a lottery with 1,000,000 tickets has a first prize of $200,000, three second prizes of…

A: Given that a lottery with 1,000,000 tickets has a first prize of $200,000, three second prizes of…

Q: Q2 a) If a disk is purchased at a store and found to be non-defective, what is the probability that…

A: The answer is given using the concept of conditional probability (Bayes Theorem).

Q: A check of dorm rooms on a large college campus revealed that 36% had refrigerators, 58% had TVs,…

A: Let A=dorm room has refrigeratorsB=dorm room had TVsP(A)=0.36P(B)=0.58P(A∩B)=0.24

Q: A marketing research firm advises a new client that approximately 15% of all persons sent a…

A: Given, A marketing research firm advises a new client that approximately 15% of all persons sent a…

Q: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A:

Q: COKE FANTA  SPARLETTA TOTAL NO.MALES 30 70 50 150 NO.FEMALES 120 40 90 250 TOTAL 150 110 140 400 1…

A:

Q: A national survey found that 42​% of adults ages​ 25-29 had only a cell phone and no landline.…

A:

Q: Suppose that 15 lightbulbs are in a cabinet and that 4 are defective. If three bulbs are chosen at…

A: It is given that, 15 lightbulbs are in a cabinet and that 4 are defective.Then, 15 - 4 = 11…

Q: The members of a consulting firm rent cars from three rental agencies: 20% from Agency A, 50% from…

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

Q: Democrat Republicans Total College Degree 37 31 68 No College Degree 63 69 132 Total 100 100 200…

A: Given Information:   Democrat Republicans Total College Degree 37 31 68 No College Degree 63…

Q: Fem Blue Fem Brown Fem Green Total Male Blue 55 29 34 118 Male Brown Male Green 13 24 12 49 15 29 53…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? (b) What is…

A: AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPARTS PLZ REPOST FOR OTHER PARTS here from given…

Q: Fem Blue Fem Brown Fem Green Total Male Blue 60 34 24 118 Male Brown 15 17 13 45 Male Green 17 9 26…

A:

Q: what is the probability of randomly choosing a black sock or a small sock from a drawer in which…

A: Given query is to find the probability of randomly choosing a black sock or a small sock.

Q: Real estate ads suggest that 58 % of homes for sale have garages, 18 % have swimming pools, and 17 %…

A: Given : Real estate ads suggest that 58 % of homes for sale have garages,18 % have swimming pools,…

Q: 3. A constructor of airport terminals has a 0.40 chance of winning a contract for the construction…

A: Given that P(M) = 0.4,P(I )=0.3,P(both ) =0.1 P(M or I ) =?

Q: a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that…

A: Given: Number of patients = 178 Group A received interleukin-2 only, Group B received interleukin-2…

Q: (a) a client will be assigned a room with faulty plumbing?  (b) a person with a room having faulty…

A: Here use probability tree diagram

Q: What is the probability that there is exactly one car and exactly one bus during a cycle? b. What is…

A: Given Joint Probability Distribution, x = number of cars turned left per signal cycle, y = number of…

Q: a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? b)…

A: HERE GIVEN CONTIGENCY TABLE OF COLOR OF EYES OF MALE AND HIS PARTER AS PER POLICY I  HAVE CALCULATED…

Q: A survey of high schools within a district revealed that for ninth graders, 38% offer no honors…

A: The probability that the high school offers no honors classes is P(0)=0.38. The probability that the…

Q: 6. (a) A Land Scaping company with 24 employees in their central office, 6 in their north office,…

A:

Q: A state senator believes that 30% of all senators on the Finance Committee will strongly support the…

A: p = 0.3 n = 5

Q: A small commuter airline is concerned about reservation no-shows and, correspondingly, how much they…

A: Note: Thank you for the question. Since multiple sub parts are posted, according to our policy, we…

Q: A check of dorm rooms on a large college campus revealed that 38% had refrigerators, 55% had TVs,…

A:

Q: A large industrial firm uses 3 local motels to provide overnight accommodations for its clients.…

A: Given that a large industrial firm uses 3 local motels to provide overnight accommodations for its…

Q: R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a…

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

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A: Consider an event A defines that main parachute deploys and event B defines that backup parachute…

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.