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: In a large metropolitan city, it is estimated that 35% of the population are vegetarians, 25% are…

A:

Q: This problem involves the career plans of students in a biology class. Assume that the class…

A: Given Information: P(Freshmen) = 30% = 0.30 P(Sophomores) = 40% = 0.40 P(Juniors) = 20% = 0.20…

Q: 4. 40 animals used in a medical experiment on diet deficiency include 12 monkeys, 15 dogs, and 13…

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Q: A computer manufacturing company has a history that 12% of its computers have defects in the CPU, 6%…

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Q: 11. A car dealership sells three type of cars: X, Y and Z. Any of these three models can be fitted…

A: 11. (a) The totals are,   X Y Z Total Automatic 23 44 33 100 Manual 3 12 5 20 Total 26 56…

Q: This problem involves the career plans of students in a biology class. Assume that the class…

A: Given data: The given percentage of the students who are freshmen is P(A)=40%=0.40. The given…

Q: A company has 3 plants: A, B and C. Plant A produces 50% of the total production, B produces 30% and…

A: It is given that there are 3 plants in a company i.e. A, B and C A produces 50% of the total…

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 bolt factory, Machine A, B and C manufacture 25, 25, and 50 percent of the bolt output. Of…

A: P(A)=0.25 , P(B)=0.25, P(C)=0.50 Let, D: Number of defective bolts P(D|A)=0.04, P(D|B)=0.05,…

Q: Suppose that 70% of students in Prof. Leen’s statistics class do their homework regularly and 65%…

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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: Assume that the fleet consists of 35 percent Lexus, 40 percent Infinity, and 25 percent Mercedes…

A: Given : fleet consist cars 35 percent  Lexus 40 percent  Infinity 25 percent  Mercedes cars have CD…

Q: A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green,…

A: The objective of this question is to find the probability that the first two candies drawn are…

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A: The contingency table is given as under   Less than 40 More than 40 Total Female 3 3 6 Male 2…

Q: B. Forty five percent of the streets in an area have private guards for security. Three streets are…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: A teacher at Soledad Prison has 22 thugs in his class, including the “extra-mean” thugs Bluto,…

A: We have to use hypergeometric distribution to find the probabilities.

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: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: Suppose a company has a workforce of 500 employees, of whom 60% are male and 40% are female. If 10%…

A: Number of employees (N)=500 60% male and 40% female  10% male and 25% female over age 50  We have to…

Q: 3. Suppose your school is in the midst of a flu epidemic. The probability that a randomly-selected…

A: Given information Let event A denotes that the student has flu Event B denotes that the student is…

Q: Two machines, A and B, produce pens. It is known that 10% of the pens produced by machine A are…

A: Given machines A and B produces pins 10% pens produced by A are faulty and 5% of B are faulty.(i) if…

Q: A committee of 4 has to be formed among 3 economist, 4 engineers, 2 statisticians and 1 doctor. (i)…

A: The provided information is There are total committee member is 10 The total number of selection…

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: 3) Each year a college awards five merit scholarships to entering freshmen with exceptional high…

A: PBoth men and women will receive scholarships=1-POnly men or only women will receive…

Q: Forty five percent of the streets in an area have private guards for security. Three streets are…

A:

Q: A company produces three types of products: A, B, and C. The probability of a product being…

A: The given information is as follows:The probability of being defective product given that it is…

Q: mple of twelve such machines is drawn. Given that fewer than 3 such machin chnical issue, what is…

A: To find the probability that at most one machine has at least one technical issue:   Given that…

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: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…

A: Number of students=300  Number of students in Statistics=85 Number of students im Mathematics=65…

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: A company has 3 factories (factory 1, factory 2 and factory 3) that manufacture the same chip. Each…

A: To find the probability that the defective chip came from factory 1 given that a manufacturing…

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

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

A:

Q: Assume that the fleet consists of 30 percent Lexus, 30 percent Infinity, and 40 percent automobiles.…

A: It is provided that fleet consists of 30% Lexus, 30% Infinity and 40% Mercedes automobiles. 80% of…

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.