than 4. Two Sheets of Paper In Exercises 5-7, if two of the same nine sheets of paper mentioned above are selected, without replacement, from the hat, determine the probability that 5. both numbers are less than 3. 6. the first number is odd and the second number is even. 7. neither of the numbers is greater than 6. 8. One card is selected at random from a standard deck of 52 cards. Determine the probability that the card selected is a red card or a picture card.

Q: A diagnostic test for disease X correctly identifies the disease 93% of the time . False positives o...

A: Given thatProbability of disease P(D) = 0.0209Probability that a  diagnosis test identifies disease ...

Q: In a Ni-Cd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element tha...

A: Let X be the nickel charge.The provided information are tabulated below:

Q: A poll asked the question, "What do you think is the most important problem facing this country toda...

A: The percentage of responndents answered crime and violence =  25%95% confidence interval margin of e...

Q: A random customer buys either brand A, brand B, or brand C with probabilities 0.25, 0.30, 0.35. Ther...

A: a. The probability that there will be at least one purchase for each of the brands, A, B and C:The g...

Q: You play the following game: You bet $1, a fair die is rolled and if it shows 6 you win $4, otherwis...

A: you roll a 6, 1/6 of the time you get $4.you roll a 5, 1/6 of the timeyou loose $1.you roll a 4, 1/6...

Q: Let S = {0, 1, 2, 3, 4, 5, 6, 7, 8} be a uniform sample space, and determine the probability that a ...

A: Solution:Concept of probability:Probability deals with the likelihood of occurrence of a given event...

Q: Probability is the same as  a) Proportion  b) Unlikely  c) Variance

A: Probability:The probability of an event is the chance of occurrence of that event. The probability o...

Q: The following table gives the total endothermic reactions involving sodium bicarbonate   Final T...

A: Identifying the distribution:It is given that reactions are independent. The random variable X repre...

Q: Is the following argument valid or invalid? If it’s valid, rewrite the same argument symbolically(p,...

A: Given If you are Patrick Star, then this is your ID.     This ID was in this wallet.If this ID was i...

Q: A service has five tasks, performed in sequence.  In the instance when there is more than one worker...

A: Process capacity:For the entire process, the process capacity is given by the lowest number of flow ...

Q: On average, a house has 2 repairs per year. a) What is the probability that in the next 3 years, the...

A: a)Average repairs per year is 2.So, the average repairs in the next 3 years is,

Q: A pair of dice is rolled, and the larger of the two numbers showing is recorded.  Find the expecrted...

A: Given that a pair of dice is rolled and the larger of the two numbers is noted.Total number of possi...

Q: Question # 5 Suppose I flip a fair coin 20 times. Assumes that the coin flips are indepen- he probab...

A: Introduction:For a fair coin, total number of possible outcomes in 20 flips of a fair coin = 220.Den...

Q: A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200...

A: Given:Probability that the prevalence of hyperlipidaemia in children 2–6 years of age = 0.30No. of c...

Q: how many four-digit even numbers are possible if the leftmost digit cannot be zero? repitition is al...

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be...

Q: A jar contains 3 red , 5 green , 7 blue and 3 yellow marbles . If a single marble is chosen at rando...

A: Total number of marbles in the jar are 18, where there are 3 red,  5 green , 7 blue and 3 yellow mar...

Q: Is the following argument valid or invalid? If it’s valid, rewrite the same argument symbolically(p,...

A: Define the arguments:p: You are Patrick Star.q: This is your ID.r: This ID was in this wallet.s: Thi...

Q: According to national data, 20.7% of burglaries are cleared with arrests. A new detective is assigne...

A: In this question we are going to use Binomial Probability Distribution to get the probability. We ar...

Q: The rate at which customers are served at an airport check-in counter is a Poisson process with a wi...

A: Let X be the waiting time for a single customer.It is provided that customers are served with a rate...

Q: The pointer shown to the right can land on every number, and the respective probability that the poi...

A: Conditions to construct a probability distribution table:Discrete random variable:If the variable X ...

Q: The flow in a river can be modeled as a log-normal distribution. From the data, it was estimated tha...

A: Let X be the flow in a river which follows log normal distribution.It is provided that, P(X > 821...

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: (a) Point estimation for p:It is given that out of 68 professional actors, 40 are extroverts.The poi...

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating ...

A: Given that there are 8 people sitting in a row.The number of people, n=8.

Q: An urn contains seven red balls, seven white balls, and seven blue balls and a sample of five balls ...

A: Given total red balls = 7Total white balls = 7Total blue balls = 7A sample of five balls is drawn at...

Q: My math problem is:  50% of the students enrolled in a business statistics course had previously tak...

A: Given 50% of students enrolled in buisiness statitics course enrolled in finite math course.among th...

Q: According to police sources, a car with a certain protection will be recovered 90% of the time. If 2...

A: Introduction:Consider the event of recovering a stolen car with the protection as a “success”.For a ...

Q: At local industry, the scheduler is facing adilemma. A shaft must go through the following threediff...

A: Given that there are 4 centering machines and only 2 needed There are 3 grinding machines and only 1...

Q: Four Hatfields and two McCoys are up for 3 construction jobs in Williamson. What is the probability ...

A: It is provided that, 4 Hatfields and 2 McCoys are up for 3 jobs.So, total possible ways of getting 3...

Q: In the game of euchre, the deck consists of 9 , 10 , jack , queen , king and ace of each suit . play...

A: Since there are 6 cards of each type, the total number of cards are 6x4=24Each player is dealt 5 car...

Q: Two fair dice are rolled at once. Find the conditional probability that the sum is 6, given that the...

A: Concept of conditional probability:For any two events A and B with P(B) >0, the formula for condi...

Q: At local industry , the safety department contains eight safety jacketsnumbered 1 to 8, six moonwalk...

A: There are total 24 items :eight safety jacket numbered 1 to 8six moonwalk shoes numbered 1 to 6ten g...

Q: a bag of marbles has 8 green, 10 red, and 5 blue marbles. One marble is drawn from the bag. What is ...

A: For any event A, the probability of A for the sample space S, can be found as,

Q: If the median salary was $1,875,000 for the New York Yankees in 2008 How much was the salary per 10 ...

A: Since total games played were 160, let us find out, salary per game first. For this we divide total ...

Q: Let X be defined as follows. Let Y1, Y2 ∼ Ber(1/2) be independent and {0, 1} valued and let Z ∼ U[0,...

A: Mixed probability distribution:Suppose X is a random variable, the sample space of which can be part...

Q: Three people are chosen at random.   What is the probability that at least two of them were born on ...

A: For any event A and the sample space S, the probability can be found as,

Q: Find z such that 60% of the standard normal curve lies to the left of z. (Round your answer to two d...

A: It is required to find the z-value such that, P (Z < z) = 0.60.

Q: The method of tree ring dating gave the following years A.D. for an archaeological excavation site. ...

A: (a) Computation of sample mean and sample standard deviation:The number of samples, n = 9. Using cal...

Q: Write (in English, not symbols) the converse, inverse, and contrapositive of the followingstatement ...

A: Given "If you’re Scooby-Doo and you come through, then you’re gonna have yourself a Scooby Snack."If...

Q: Find the z value such that 92% of the standard normal curve lies between −z and z. (Round your answe...

A: Given the area between -Z and Z is 92%.The area under standard normal curve is 1. So the area betwee...

Q: A church is holding a raffle and sells 500 tickets for $2 each. If the church awards one $100 first ...

A: Note:Hey there! Thank you for posting the question. Your question says “what is the expected value o...

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A: 1.Obtain the regression equation of the variables ice rink attendance (y) and temperature in Fahrenh...

Q: Suppose that the probability density function of the length of computer cables is f (x) = 2x/(52) fo...

A: Let X be the continuous random variable which denotes the length of the computer cables. The probabi...

Q: Quick Start Company makes 12-volt car batteries. After many years of product testing, the company kn...

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is ...

Q: c) If n is divisible by 6, then n is divisible by 3. If n is divisible by 3, then the sum of the dig...

A: From the given above information and also from the result, we can observe in the following way:

Q: If you roll a four sided die and a six sided dice ( numbered 1,2,3,4) what is the probability of rol...

A: Given a four sided dice which have numbers 1,2,3,4 and six sided dice have numbers 1,2,3,4,5,6 on it...

Q: The probability density function of the time to failure of an electronic component in a copier (in h...

A: Computing the probability that a component fails in the interval from 465 to 1,943 hours:The random ...

Q: #2.24

A: For the given question we have, 

Q: In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the fem...

A: Here the probability of selecting a female is given by: 

Q: On New Year's Eve, the probability of a person driving while intoxicated or having an accident is 0....

A: Given information:Denote the event “person driving while intoxicated” as A.The probability that a pe...

Q: A fair, six sided die is rolled once. Find the probabilities requested below: (Note: the prime numbe...

A: Given, a fair die rolled once,So, the total case will be 6.Formula used shown below:

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.