A married couple wants to enjoy the weather of hill stations at Murree and Abbottabad. The probabilities of enjoying weather at Murree and Abbottabad are respectively 0.50 and .12.   a) What is the probability that a couple will enjoy at least one of these two hill stations? b) What concept of the events do you give to these two hill stations?

Q: If the probability of having green eyes is 15%, the probability of having a brown hair is 70%, and…

A: Let G represents the green eyes And B represents the brown hair So P(G)= 15% = 0.15 P(B)= 70% = 0.70…

Q: If the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given working…

A: Given that, the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given…

Q: Suppose that two friends are independently attempting to ride their bikes all the way from Normal to…

A: Suppose, A and B are friends. Their individual chances of success are 30% and 35%. Hence,…

Q: The probabilities are 0.4, 0.2 and 0.3 and 0.1, respectively, that a student uses LAN, Wifi, Prepaid…

A: Let p1, p2, p3, p4 be the probabilities that a student uses LAN, Wifi, Prepaid Data, and Hotspot for…

Q: i. What is the probability that there will be a shortage of all three major sources of power supply?…

A: Answer:-  E, G and O denotes the events of shortages of each of these sources. Given that,…

Q: An automobile manufacturer produces 36% of its cars at plant A. If 4% of the cars manfactured at the…

A: Solution-: Given: Produce car in plant A=36% i.e. P(A)=0.36 Defective device by plant A=4%=0.04 We…

Q: The two-way table summarizes whether or not a cross country team had practice when it was raining…

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

Q: Suppose George wins 29% of all air hockey games. (a) What is the probability that George wins two…

A: (a)   Obtain the probability that George wins two air hockey games in a row.   The probability that…

Q: Aggregates for the construction of a reinforced concrete building are supplied by two companies (A,…

A: Given that orders for company A to deliver 600 truckloads a day and 400 truckloads a day for company…

Q: The punctuality of trains has been investigated by considering a number of train journeys. In the…

A: Let,  Manchester=A Birmingham=B Edinburgh=C The event of a train arriving late= D Given that:…

Q: 2. In a particular group of hospital patients, the probability of having high blood pressure is ,…

A:

Q: A telemarketing company has a special letter-opening machine that opens and removes the contents of…

A: A discrete random variable x having the binomial distribution with the parameters n & p. And the…

Q: 9. A hamburger chain found that 75% of all customers use mustard, 80% use ketchup, and 65% use both,…

A:

Q: 1.1 A car dealer has established that 40% of his potential customers prefer single cab cars while…

A: Hi, we are supposed to answer one question at a time. Since you have not mentioned which question to…

Q: Of a group of patients having injuries, 28% visit both a physical therapist and a chiropractor while…

A: Given data:     The percentage of the patients visit both a physical therapist and a chiropractor…

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: sample of four electronic components is taken from the output of a production line. The…

A: GivenPr [0 defectives] = 0.6561, Pr [1 defective] = 0.2916, Pr [2 defectives] = 0.0486, Pr [3…

Q: A company producing electric relays has three manufacturing plants producing 50, 30, and 20 percent,…

A: Given: 50%, 30% and 20% are electric relay produced by a company in three manufacturing plants. The…

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: 2. Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful…

A: Let, A = highly successful product B = moderate success C = poor product D = product attains a good…

Q: A company has found that 31% of all customers contacted will buy its If 6 customers are contacted,…

A:

Q: An insurance company estimated that 30% of all automobile accidents were partly caused by weather…

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

Q: 4. The probabilities of Rui Feng, Michael and Khairul winning the gold medal for the 100-metre…

A:

Q: In a county where factories have to be tested for the emission of pollutants, 32% of all factories…

A:

Q: 2. Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful…

A: Let A= highly successful product B= Moderate success C= Poor product S= Product attains a good…

Q: At a local coffee shop, the manager has determined that 56% of drink orders are for specialty…

A: Solution

Q: In a sample of 34 people, 18 had blood type O, 9 had blood type A, 5 had blood type B, and 2 had…

A: Given : Total number of people = 34 Number of people of blood type O = 18 Number of people of blood…

Q: n a particular child clinic, 17% of patients are prescribed colic drops. Overall, 7% of the clinic’s…

A: Let C denote the event that the patient is prescribed for colic drop, G denote that the patient…

Q: 3. An oil company conducts a geological survey that indicates an exploratory oil well should have a…

A: Given Information : An oil company conducts a geological survey that indicates an exploratory oil…

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: It is felt that the probabilities are 0.20, 0.40, 0.30, and 0.10 that the basketball teams of four…

A:

Q: According to the studies carried out by researchers in an earthquake zone, the average number of…

A: We have given that Average=lambda=7.5 in a year. 1 year =12 months  Now  the average value for one…

Q: The KSS construction company has submitted two bids, one to build a large hotel in Kuala Lumpur and…

A:

Q: The probabilities are 0.40, 0.20, 0.30 and 0.10 respectively, that a delegate to a certain seminar…

A:

Q: At the tune-up and brake repair shop, the manager has found that a car will require a tune-up with…

A:

Q: 4. A computer store produces and sells cell-phone and tab. Based on long-range sales, the…

A: Let us define some events A : a customer purchases a cell phone. B : a customer purchases a tab. E :…

Q: Engineer wishes to investigate the punctuality of electric trains by considering a number of train…

A: Let  B1 be the event had a destination for new work  B2 be the event had a destination for chicago…

Q: 2. In a class, 60% of the students have brown hair, 30% have brown eyes, 10% have both brown hair…

A: Given,P(student has brown hair)=0.60P(student has brown eyes)=0.30P(student has both)=0.10

Q: A certain federal agency employs three consulting firms (A, B, and C) with probabilities 0.40,0.35,…

A: P(A) = 0.4 P(B) = 0.35 P(C)= 0.25 Let O shows the event that firm experiencd cost over run. Here we…

Q: For a particular species of wolf, 48% are female, 30% hunt in medium-sized packs, and 10% are both…

A: Conditional probability formula : P(A | B) = P(A n B) /P(B)

Q: In a large metropolitan city, the probabilities associated with the number of homicides on any given…

A:

Q: witch is planting a garden. In one of her garden beds, she plants asparagus with probability 0.331,…

A:

Q: What is the probability of getting an ace (Event A) and queen (event B) happening in a fair hand of…

A: Probability of getting an ace Event A and Queen Event B : 4 C1 and 4 C1

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: 3. The probability that Mr. Samson will visit Bohol and Boracay are 0.31 and 0.22, respectively.…

A:

Q: A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively,…

A: Given that P(filling claim by high-risk)=0.04 P(filling claim by medium risk)=0.02 P(filling claim…

Q: A grocery store obtains 35% of its produce from vendor A and 65% from vendor B. It is expected that…

A:

Q: In a campus restaurant it was found that 35% of all customers order vegetarian meals and that 50% of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 4/ A public health researcher examines the medical records of a group of 837 men who died in 1998…

A: We first make a table using the given data   died from heart disease did not die from heart…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.