Forty percent of a company’s total output consists of baseballs, 30% consists of softballs, and 10% consists of tennis balls. Its only remaining product is handballs. If they placed balls in a box in the same proportion as the company’s output and selected a ball at random from the box, what is the probability that: a.) the ball is a baseball? b.) the ball is a tennis ball? c.) the ball is not a softball? d.) the ball is a handball?

Q: In a manufacturing plant, three machines, A, B, and C, produce 41%, 38%, and 21%, respectively, of…

A: Given , P( A ) = 0.41 ,  P( defective | A ) = 0.01 P( B ) = 0.38 ,  P( defective | B ) = 0.02 P( C )…

Q: In a major city, 65% of the drivers are over 25 years old, and 20% of them will have a traffic…

A: Answer is .553. Explanation is as follows

Q: What is the probability that a randomly selected registered voter from County A voted in the recent…

A: Let us define some events A : the voter is Democrat. B : the voter is Republican. C : the voter is…

Q: 2. The weather in a given area is observed for 5 days. If the occurrences of rain each day are…

A: Given,n=5p=0.4q=1-p=1-0.4=0.6X=no.of days have rain X~Binomial (n=5 , p=0.4)P(X=x)=cxn pxqn-x ;…

Q: Consider an insurer that offers 2 types of policy: home insurance and car insurance. 87% of all…

A:

Q: Suppose that, of all the customers at a coffee shop, 70% purchase a cup of coffee; 40% purchase a…

A: The provided information is  P(Coffee)=0.70 P(Cake)=0.40 P(Coffee and Cake)=0.20

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

A:

Q: Consider a population of 2000 people, 800 of whom are women. Assume that 300 of the women in this…

A: Given Data:   Total Population=2000 Number of Women=800  Number of Men=2000−800=1200 Total Men=1200…

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 player is dealt two cards from a 46-card deck, where half the cards are black and the other half…

A: Let us denote:R1=drawing red card firstR2=drawing red card secondB1=drawing black card first…

Q: Consider an insurer that offers 2 types of policy: home insurance and car insurance. 87% of all…

A: Solution: Let A be the event that all customers have a home insurance policy. The probability of…

Q: In a survey of 91 baseball fans in NYC, 48 were fans of the Mets, 58 were fans of the Yankees and 32…

A: given in a survey of 91 baseball fans in NYC 48 were fans of Mets and 58 were fans of the…

Q: In a factory, robots 1, 2, and 3 produce wires of the same length, with 2%, 1%, and 3% defective…

A:

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Given that, n(Visa)= 1500 n(AA)= 500 n(Visa n AA)= 40 Total, n= 2000 We've to find, P((Visa n…

Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

A:

Q: In a class of 150 incoming freshmen nursing students, 65 are taking Mathematics, 70 are taking…

A: note : as per bartleby we provide first 3 sub part please resubmit the other given  65 are taking…

Q: The probabilities are 1/10, 1/2, 1/5, and 1/5, respectively, that a participant to a Civil…

A: The variable, Xi indicate the number of engineers arrived at  time i (i = morning(1), lunchtime(2),…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Given : Total number of customers  =2000 Visa holder = 1500  AA card holder = 500 Visa and AA card…

Q: The employees of a company were surveyed on questions regarding their educational background…

A: Given information is, P(College degree) =400/600 P(Single)               = 100/600 P(Single college…

Q: Of the students living in the dormitories at a university, 58% live at west hall, and the rest at…

A: Given that 58% live at west hall, so (100-58)%=42% live at the south tower.  Given: A sandwich shop…

Q: Consider a population of 3000 people, 1400 of whom are men. Assume that 700 of the women in this…

A: The population has 3000 people of which 1400 are male this means that 1600 are female. Let M and F…

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15%…

A: Let the R.V X denotes the number of peanut M&M’s are orange and it follows the binomial…

Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

A:

Q: We can suppose that 55% of all adults regularly consume coffee, 45% regularly consume soda, and 70%…

A:

Q: The probabilities are 0.4, 0.3, 0.1, and 0.2, respectively, that a delegate to a certain convention…

A: Given : The probabilities are 0.4, 0.3, 0.1, and 0.2, respectively, that a delegate to a certain…

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: Given: Total number of students=45Number of Industrial students=5Number of electronics…

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 manufacturer obtains​ clock-radios from three different​ subcontractors: 30​% from​ A, 40​% from​…

A:

Q: 38. Consider a population of 3000 people, 1400 of whomare men. Assume that 700 of the women in this…

A: Consider the given data, Total Population, T=3000Men, M=1400Women earning at least 60,000 per year,…

Q: A shipment of 10 microwave ovens contains two defective units. In how many ways can a restaurant buy…

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

Q: In a seminar in engineering, the attendees are 15 civil engineers, 30 electronics engineers, and 20…

A: civil electronics electrical total Mapua university 5 12 7 24 Other…

Q: onsider an insurer that offers 2 types of policy: home insurance and car insurance. 87% of  all…

A: Since you have posted a question with multiple subparts, we will solve first 3 subparts for you. To…

Q: a. What is the probability that 15 or more of these consumers have called an 800 or 900 telephone…

A: The proportion of consumers who have called an 800 or 900 telephone number for information about…

Q: Among 500 freshmen pursuing a business degree at a university, 320 are enrolled in an Economics…

A: Probability of an event:The formula for probability of an event is as follows.

Q: Consider a population of 2000 people, 800 of whom are women. Assume that 300 of the women in this…

A: Consider the following events, M=selected person is a manW=selected person is a womanA=selected…

Q: 1. According to the Consumer Electronics Manufacturers Association,10% of all U.S. households have a…

A: Solution According to guidelines we three subpart of the question

Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled…

A: Let define the events: A = students are enrolled in a psychology course B = Students are enrolled in…

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: In a survey of 98 baseball fans in NYC, 51 were fans of the Mets, 68 were fans of the Yankees and 34…

A: Given that there total 98 fans And we have to find probability of picking one random fan who is…

Q: A random sample of 250 working adults found that 74% access the Internet at work, 88% access the…

A: a.

Q: From experience, the human resources director of a certain company estimates that, for a particular…

A: Let us assume that Q=qualified A=pass the selection process Given that P(Q)=80%=0.80 P(A|Q)=85%=0.85…

Q: From an ordinary pack of cards numbered from 1 to 20, a card is drawn at random. What is the…

A: Given that An ordinary pack of card numbers from (1 to 20 Sample space=S=(1,2,3,______,18,19,20)…

Q: Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and…

A: Let A be the event that an adult regularly consumes coffee. Let B be the event that an adult…

Q: Find the probability of obtaining the given 5-card poker hand. three of a kind

A: If we order the 5-card hand with three-of-a kind, we have 13C1 choices for the number of the first…

Q: At a certain fast-food restaurant,  48%  of customers order a chicken sandwich,  34%  of customers…

A: P(A or B) = P(A) + P(B) - P(A and B).   Here,   P(Chicken Sandwich) = 0.48 P(French Fries) = 0.34…

Q: In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of…

A: Machine A, B, C produces 38%, 33%, and 29%. P(A) = 0.38 %, P (B) = 0.40 and P(C) = 0.29% D denote…

Q: A bag contains 10 red, 16 white and 8 green balls. I pulled a ball off Bag randomly. What is the…

A: Given: The number of red balls in a bag are n(R)=10. The number of white balls in a bag are n(W)=16.…

Q: The employees of a company were surveyed on questions regarding their educational background…

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

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.