A local bar has six bar stools. The bartender predicts that if two strangers come into the bar they n such a way as to leave at least two stools between them. Compute the expected value of the number of stools between the twwo customers, under the assumption that they seat themselves randomly.

Q: Consider a plant manufacturing chips of which 10% are expected to be defective. A sample of 10 chips…

A: Given P=0.10 n=10

Q: a. Of the 20 customers of the hotel, what is the expected number who pay using the credit card? b.…

A: Let , X be the number of customers pay using a credit card. Let , 'p' be the proportion of customers…

Q: A company has 10 delivery trucks, 6 of which are due in for an inspection. Suppose 3 of these 10…

A: Introduction: Suppose X is the number of selected trucks that are due for inspection. It can be…

Q: What is the probability that a randomly selected depth is less than 3.30 m?  What is the probability…

A: Let X denotes the water depths. Given that X follows Uniform(a = 1.50, b = 5.50). Then the…

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: b) He can choose any 6 capacitors from 15 capacitors  in 15C6=5005 ways   He can choose 4 defective…

Q: In the Monopoly Millionaires' Club lottery game, you pay $5 and select five different numbers…

A:

Q: A factory produces components of which 5% are defective. Using a suitable approximation, what is the…

A: This problem can be solved using Poisson distribution.

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A: Given, the number of requests for assistance received by a towing service is a Poisson process with…

Q: Of the automobiles produced in a plant, 40% had a certain defect. Suppose a company purchases five…

A: Given: 40% of defective cars. i.e. p=0.4 . Number of cars company purchasesn=5

Q: A sample of 4 items is selected at random from a box containing 12 items of which 5 are defective.…

A:

Q: In a shipment of goods consisting of 2000 electronic tubes, it is known that there are 600 units of…

A: Solution: Given information: N = 2000  Population size of electronic tubes  X= 600 tubes do not meet…

Q: Let X be a random variable representing the number of Vitamin C packs, that a pharmacist sells per…

A: Given, The pharmacist sells on the average 5 Vitamin C packs per hour Let X be a random variable…

Q: In an exam, 15% got an “B” mark, 10% get a “A”, and the other 75% get below that. Six students from…

A: Percentage of student got B marks is 15%. Percentage of student got A marks is 10%. Percentage of…

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 2, the player wins…

A:

Q: A four-bulbed flask contains three particles. What is the probability, to three significant figures,…

A: In theoretical distribution, the binomial distribution is the discrete probability distribution.…

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 1, the player wins…

A: A game is played using one fair 6-sided die. when a die is rolled and shows 1, the player wins $8.00…

Q: t an uncontrolled T- junction, it is seen that on an average, 2 vehicles turn to the right in each…

A: Given: Average number of vehicles in 120 seconds λ=2 Let X be the number of vehicles arriving in 120…

Q: compute the probability that it finds three or more broken gizmos (out of the 100 tested).

A: here given  A firm uses a machine that, when operating correctly, successfully produces working…

Q: An archer hits a bull's-eye with a probability of 0.09, and the results of different attempts can be…

A: Solution: 2. Let X be the number of bull’s eyes scored and n be the sample number of arrows. From…

Q: A company selling substandard drugs to developing countries sold 2,000,000 capsules with 60,000 of…

A: Provided information is, a company selling substandard drugs to developing countries sold 2,000,000…

Q: An urn contains four balls numbered 3, 5, 8, and 10. If a person selects a set of two balls at…

A: An urn contains four balls numbered 3, 5, 8, and 10 and a person selects a set of two balls at…

Q: When a truckload of eggs arrive at a store, a random sample of 175 are inspected for cracks or…

A: Consider that p is population proportion of eggs, that do not meet satisfaction.

Q: a) 10 men and 10 women randomly sit at a round table. Compute the expected number of men who have at…

A: Given No of men=10 No of woman=10

Q: For the treatment of herniated cervical disk in neck, it is found that 22% of patients go to both a…

A: Simple probability

Q: Suppose each blood donor arriving at a clinic has Type O blood with probability p = 0.5,…

A: Geometric distribution: Suppose there are independent trials and the probability of success is same…

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 1, the player wins…

A:

Q: For one adult chosen at random, compute the probability that: (i) he reads none of the papers

A:

Q: A coin is biased such that a head is nine times as likely to occur as a tail. Find the expected…

A:

Q: A company makes bobble head dolls. One out of every 5 is faulty, but the company doesn't know which…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at…

A: Given that there are 4 balls.A person selects two balls. So total number of outcomes=4C2=6So the…

Q: Suppose a life insurance company sells a ​$290,000 ​1-year term life insurance policy to a…

A: Given that :  A life insurance company sells a $290,000 1 -year term life insurance policy to a 20 -…

Q: Let X be the number of heads obtained in 40 independent tosses of a fair coin. Then X is a binomial…

A: Given: Number of tosses (n) = 40 Coin is tossed independently.

Q: Suppose I randomly throw 10 balls into 4 bins (where each ball is thrown independently and uniformly…

A: Number of balls: m=10 Number of bins: n=4 (a) What is the expected number of empty bins: The…

Q: An individual wanting to cheat at a dice game alters a set of two 6-sided dice so that the odds of…

A:

Q: When circuit boards used in the manufacture compact disc players are tested, the long-run percentage…

A:

Q: The proportions of blood phenotypes in the U.S. population are as follows:  A          B         AB…

A: From given things we write bool phenotypes and corrosponding proportions.

Q: A life insurance company has found a 3% probability that a randomly selected application contains an…

A:

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: Given that, p = 0.60 (i) If 200 persons taste the new grapefruit jelly, the number of persons who…

Q: Suppose that it is known that 2% of the items produced by a particular machine are defective in some…

A:

Q: In a survey of the weights of the backpacks of 52 students, 11 students' weighed between 0 and 12,…

A: Solution: The given data is

Q: Suppose that a couple eats out 3 times a week 10% of the time, eats out 2 times a week 20% of the…

A:

Q: In a popular casino​ game, you can bet one whether a ball will fall in an arc on a wheel colored​…

A: Given Data

Q: A company makes bobble head dolls. One out of every 5 is faulty, but the company doesn't know which…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: If two of the individuals are randomly selected without replacement, what is the probability of both…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use given data table  here Rewrite table…

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A:

Q: Robert bought a $3 lottery ticket such that 1 in 100 would win $9, 1 in 1000 would win $120, and 1…

A: Ticket cost = $3 1 in 100 would win $9 1 in 1000 would win $120 1 in 50 million would win $1 million

Q: Determine the marginal PMF of A and B and then calculate the expected number of customers in line at…

A: The given table is: A\B 0 1 2 3 P(A) 0 0.08 0.07 0.04 0 0.19 1…

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.