The average number of automobiles per minute stopping for a gas at a particular service station along theCoastal Road is 3. What is the probability tha in any given minute more than two automobile will stop for gas?

Q: The IQ of children in a special education class are normally distributed with µ=95 and Q=10 What is…

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

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: In this question we will be using Poisson distribution.  It is given that the restaurant can expect…

Q: Based on experience, 60 percent of the people who enter a shoe store make a purchase. In a random…

A: 60 percent of the people who enter a shoe store make a purchase. Hence the probability that a…

Q: The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute…

A: Let X be the no. of phone calls. μ=3 per minute X~Poisson3

Q: It is known that the average number of jeepney that passes through the designated waiting area is…

A:

Q: The time taken by brake discs to overheat on construction equipment is normally distributed with…

A:

Q: A trucking company has found that its trucks average 1.3 breakdowns during round trips from…

A: Given: λ=1.3 Let x denote number of trucks completes the trip without experiencing breakdown. 1. The…

Q: According to a study by a road safety interest group, the probability that speeding is a cause of a…

A: We have to find given probability.

Q: 66% of students at one college drink coffee, and 13% of people who drink coffee suffer from…

A: Given: Probability of students who drink coffee = 0.66 Probability of students who drink coffee…

Q: Of the 6 people who have taken their seats at a seminar, 2 have black hair. What is the experimental…

A: From the given information, 6 people who have taken their seats at a seminar, 2 have black hair.…

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

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: In​ 1970, 94​%of​ 30-year-olds in a country earned more than their parents did at age 30​ (adjusted…

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: The probability that an integrated circuit chip will have defective etching is 0.06, the probability…

A: P( integrated circuit chip will have defective etching) = P(E) = 0.06 P(integrated circuit chip will…

Q: The probability that a cask contains more than 261 liters of whiskey is If there are 9 casks of…

A: Let X denote the volum of whiskey in a cask. Given that X follows Uniform(a = 258.5, b = 261.5).…

Q: a. What is the probability that more than three letters were dropped in both mailboxes X and Y…

A:

Q: What is the probability that fewer than 3 will arrive in the clinic as walk-in customers?

A: Probability=0.25

Q: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

A: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

Q: The average number of dropouts for a school district has been 305 per year with a standard devia-…

A:

Q: What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

A: Let us suppose that, A & B are the two events then following is the formulae for Bayes' Theorem…

Q: On average, five birds hit the Washington Monument and are killed each week. Bill Garcy, an official…

A: Five birds hit the Washington Monument and are killed on average, each week. Funds will be allocated…

Q: The weekly average number of airplane crashes is 2. Whatis the probability that there will be (a) at…

A:

Q: According to a study by a road safety interest group, the probability that speeding is a cause of a…

A: Solution: From the given information, the probability that speeding is a cause of a fatal crash is…

Q: Suppose the probability of purchasing a defective smart phone is 0.04. What is the probability of…

A: Introduction: Denote X as the number of defective smart phones obtained in a purchase of 20 smart…

Q: The manager of a restaurant in a commercial building has determined that the proportion of customers…

A: Given data n=100 p=14%=0.14

Q: If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive…

A: Define the event, A : no box will receive more than one ball If 12 balls are thrown into 20 boxes…

Q: What is the probability that the sum is 2 or at least one die shows a 6 in rolling a pair of dice?

A: When rolling a pair of dice the probability that the sum is 2 is: There is only one case for it to…

Q: What is the probability that it came from Supplier 2? What is the probability that the defective did…

A: Let us define some events A : a box is from supplier 1. B : a box is from supplier 2. C : a box is…

Q: In a small private​ school, 3 students are randomly selected from 19available students. What is the…

A: We have to find total ways to pick 3 students from 19 students I. e 19C319C3= (19 * 18 * 17) / (3 *…

Q: It is a well-established fact that 40% of people are scared of squirrels. - If we take a SRS of 250…

A: Checking condition to use normal distribution: np=250×0.40=100>10…

Q: What is the probability of selecting a male who prefers fish? What is the probability of selecting…

A: (a) Here we need to find the probability of selecting a male who prefers fish. Number of males who…

Q: The proportion of male students at SIBT is known to be 65%.  Assume students are randomly assigned…

A:

Q: n applicant is selected at random, what is the probability that he/she passes the academic…

A: Given:     Work Experience standards      yes  No  Total Academic Achievement Standards  yes…

Q: n a family with 3 children, excluding multiple births, what is the probability of having exactly 1…

A: In this case, we need to obtain the probability of having exactly 1 girl. Given: A family of three…

Q: What is the probability that in a random sample of 440 voters, less than 48.8% say they will vote…

A:

Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: Rolling a pair of dices gives a total of 36 outcomes. The sample space, when we roll two dice is…

Q: The monthly incidence of necrotizing fasciitis in the U.S. is 50 cases. The population of the U.S.…

A: Solution: It is given that the monthly incidence of necrotizing fasciitis in the U.S. is 50 cases.…

Q: The probability that a song was rock is 0.5, the probability that it had over 1,000 plays is 0.4,…

A:

Q: What is the probability that Kelsey reaches in the bag and randormly selects a red marble? What is…

A: Numbet of green marbles = 17 Number of blue marbles = 14 Number of yellow marbles = 8 Number of red…

Q: A fair die is rolled two times. What is the probability that both rolls are 6?

A:

Q: In a family with 4 children, excluding multiple births, what is the probability of having exactly 2…

A: Given: n = 4 x = 2 p = 0.5 q = 0.5 Formula Used: Binomial distribution: If a random variable X…

Q: Based on data from the Center for Statistics, 30% of adult Americans smoke. Ina sample of 12 adults:…

A: Note: As per Bartleby’s guideline for more than three subparts of a questions only first is to be…

Q: What is the probability that there would be no cracks in a particular 3-km section of the…

A: Let, X be the number of cracks in a 105-km expressway. Here , X has Poisson distribution with mean…

Q: On average, five birds hit the Washington Monument and are killed each week. Bill Garcy, an official…

A: Given  Mean = 5

Q: The lifespan of a car battery is normally distributed with µ = 5 years and σ = 1.2 years. What is…

A:

Q: a hospital switchboard receives an average of 4 emergency calls in a 10 min interval.What is the…

A: The average value λ is 4.

Q: A production line estimates that 1.5% of the items it produces is defective. In a package containing…

A: It is given that the A production line estimates that 1.5% of the items it produces is defective…

Q: ) What is the probability that they are female? ; What is the probability that they exercise for…

A: It is given that Total number of persons = 100 Number of females = 55 Number of persons who exercise…

Q: According to a study done at Otago University Wellington, the probability a randomly selected…

A: Obtain the probability that at least 3 of the people will not cover their mouth when they sneeze.…

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.