A producer of a certain type of electronic component ships to suppliers in lots of twenty. Suppose that 60% of all such lots contain no defective components, 30% contain one defective component, and 10% contain two defective components. A lot is picked, two components from the lot are randomly selected and tested, and neither is defective. (a) What is the probability that zero defective components exist in the lot? (b) What is the probability that one defective exists in the lot? (c) What is the probability that two defectives exist in the lot?

Q: Assume there are three machines I, II, and III in a semiconductor manufacturing facility that make…

A: Consider the events, M1 : Chip manufactured by machine M1 M2 : Chip manufactured by machine M2 M3 :…

Q: 6. A certain company is ordering small parts shipped in large bins from two different suppliers:…

A: Given information: Pdefective|A=2.5%=0.025Pdefective|B=5%=0.05PA=3PBFrom the…

Q: Hisense Ghana produces and sells HDTVS. The HDTVS are inspected at the end of the production process…

A: Let X denotes the number of defective HDTVs. X follows binomial distribution with p=20%=0.2 and n=4.

Q: 1. in a group of 100 moviegoers, 40 people like cats, 20 people like dogs, and 8 people like both…

A: Hello. Since your question has 2 parts, we will solve first question for you. If you want remaining…

Q: In a certain assembly plant, three machines B1, B2, and B3 make 30%, 25% and 45% respectively, of…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: 600 are defective. A box is selected at random and a component is removed a random from the box.…

A:

Q: If 30% of superheroes wear capes, 80% of cape-wearing superheroes can fly, and 36% of cape-wearing,…

A: According to the given information, we have Given that 30% of superheroes wear capes. And 80% of…

Q: A factory has three assembly lines, with the first line producing 11% of the product, the second…

A: A factory has three assembly lines, with the first line producing 11% of the product, the second…

Q: In a factory that manufactures automobile tires, tires are produced in two workshops. 60% of the…

A: According to the given information, P(first workshop) = 0.60 P(second workshop) = 0.40 P(defective /…

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: What is the probability of finding exactly 5 green M&Ms in any one given bag?

A: Given: n= 40 P( green) = 0.15

Q: (1) What is the probability that the driver meets with an accidents? (ii) What is probability the…

A: Let us define some events A : The person is truck driver. B : the person is motorbike driver. C :…

Q: Assume that in a particular college, 60% of the student population is female. (i) Calculate the…

A: Introduction: Denote X as the random variable representing the number of female students in the…

Q: A certain typing agency employs two typists. The average number of errors per article is 4.44.4 when…

A:

Q: 3. A lot of 24 bulbs contain 25% defective bulbs. A bulb is drawn at random from the lot. It is…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A shipment of components consists of three identical boxes. One box contains 2000 components of…

A:

Q: Suppose in certain semiconductor company, two machines, M1 and M2 make 40% and 60%, respectively, of…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: Two shipments (A and B) of blenders were inspected. Shipment A contains 50 blenders of which 5 are…

A: Solution

Q: Suppose a store accepts VISA and Mastercard only. If 40% of customers carry a VISA card, 70% carry a…

A: If A and B denotes two events, then the probability that both events happen simultaneously, can be…

Q: What is the probability that the shipment is​ rejected?

A: Total number of electronic components=190 Number of defective components = 3 Sample size n= 3 Also ,…

Q: 2. A restaurant owner has calculated that 75% of customers order a drink with their meal, and this…

A: n=3p=0.75q=1-pq=1-0.75=0.25A random variable XBinomial(n=3 ,p=0.75)

Q: In a high school graduating class of 100 students, 55 studied mathematics, 63 studied computer…

A: The total number of students is 100. The number of students studied mathematics is 55. The number of…

Q: Suppose a factory produces computer chips, and 2% of the chips are defective. If a sample of 100…

A: The probability that exactly 3 chips are defective is obtained below as follows: The conditions for…

Q: 2. On 60% of days, a hospital admits at least one heart attack patient. On 40% of the days, no heart…

A:

Q: In a recent three-way election for a school organization, candidate A received 20% of the votes,…

A: Let us define the following exhaustive probabilities. P(A)=p1= Probability of votes received by A =…

Q: 1. Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: ) What is the probability they got bit by a mosquito or a deer fly (or both)? ) What is the…

A: The events are M : bitten by mosquito D : bitten by a deer fly Given that P(M) = 0.65, P(D) = 0.26,…

Q: Suppose that a certain tech company sources their chips from three different factories, F1, F2 and…

A:

Q: Q9. A manufacturer of seats for automobiles gets its textiles from three different suppliers, Acme…

A:

Q: ) A human resources director for a large corporation claims that of the 97 employees on a typical…

A: P: probability that an employee is on time P= 90/97 = 0.9278 a) P(both arrive on time) = (0.9278)2 =…

Q: In a factory machines M1, M2, and M3 produce bolts 37%, 42%, and21% of the total production of the…

A: Given: PM1=0.37PD|M1=0.02PM2=0.42PD|M2=0.025PM3=0.21PD|M3=0.015 The probability of selected bolt was…

Q: At a local high school, 30% of the students are on a school sports team, 25% take at least one…

A: Solution: 7. Let A be the event that the student is on a sports team and B be the event that the…

Q: A machine contains 10 processors that operate independently. The probability that a processor fails…

A:

Q: 3. A jar contains black and white marbles. Two marbles are chosen without replacement. The…

A: Given A jar contains black and white marbles. Two marbles are chosen without replacement. The…

Q: spectively. Assumir

A: probability of A winning = 1/2 probability of B winning = 1/3 probability of C winning = 1/6

Q: 1. Suppose 0.1% of a population is infected with a certain disease. On a medical test 98% of those…

A:

Q: Two shipments (A and B) of blenders were inspected. Shipment A contains 50 blenders of which 5 are…

A: Solution

Q: 15 Assume that the fleet consists of 30 percent Lexus, 50 percent Infinity, and 20 percent Mercedes…

A: Given data, fleet consist cars 30 percent  Lexus 50 percent  Infinity 20 percent  Mercedes cars have…

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.