A shipment of 12 television sets contains 3 defective sets. A hotel makes a random purchase of 8 of the sets. Let X be the random variable counting the number of defective televisions in the random purchase made by the hotel. What is the probability of getting 2 defective televisions in their purchase?

Q: The most popular color for compact/sports cars is dark green, with 15.2% of owners preferring that…

A:

Q: A class contains 16 boys and 10 girls of which half of the boys and half of the girls are fat. Find…

A: Given,no.of boys=16no.of girls=10no.of fat girls=8no.of fat boys=5Total no.of students=26

Q: A customs inspector decides to inspect 2 of 12 shipments that arrive from Madrid by plane.  If the…

A:

Q: A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a…

A: Given Data: p=3/20=0.15 n=2   X~ Binomial (2, 0.15)

Q: Among the adults in a large city, 30% have a college degree. A simple random sample of 100 adults is…

A:

Q: The incidence of disease in a forest is such that 20% of the trees in the forest have the chance of…

A:

Q: A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 5 wood and 17…

A:

Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: In a supermarket there are 180 customers, 145 of whom will buy at least 1 item. If 4 customers are…

A: As per our guidelines we are suppose to answer only one question. Given,n=180x=145sample proportion…

Q: A bag of 33 tulip bulbs contains 12 red tulip bulbs, 12 yellow tulip bulbs, and 9 purple bulbs.…

A:

Q: if a board is selected at a random, find the probability of picking up one that is defective

A: Given that Number of defective boards = 4 Number of good boards = 10

Q: Suppose that 56% of students in a college have a smart phone. If you select three students at…

A: Solution: It is given that 56% of students in a college have a smart phone.  Thus, probability that…

Q: A hospital switch board receives an average of 4 emergency calls in a  10 minute interval. What is…

A: Given: λ=4

Q: A box contains 8 batteries, 3 of which are defective. What is the probability that, if a sample of 5…

A: Given that a box contains 8 batteries, 3 of which are defective.  Sample size = 5

Q: If 25% of the bulbs produced by ABC Lighting Company are defective, determine the probability that…

A:

Q: In a small private​ school,6 students are randomly selected from 11available students. What is the…

A: We have 11 students out of which we have to select the 6 students and then find the probability that…

Q: A basketball player has a 80% chance of making a free throw. (Assume that the throws are independent…

A:

Q: A batch of 100 cords has 8 defective cords. If 4 cords, taken at random from the batch, are to be…

A:

Q: A poll is given, showing 35% are in favor of a new building project. If 8 people are chosen at…

A:

Q: In a large population, 65% of the people have been vaccinate. Of 5 people are randomly selected what…

A:

Q: a marble is selected at random from a jar containing 6 red marbles, 5 yellow marbles, and 4 green…

A: Given,  containing 6 red marbles, 5 yellow marbles, and 4 green marbles Probability= no. Of…

Q: A poll is given, showing 60% are in favor of a new building project. If 8 people are chosen at…

A: Given p =0.6 and n=3   P(X>3)=1-P(X<3)               =1-Cxn px(1-p)n-x…

Q: A semi-truck for a recreational cycling group carries   11   mountain bikes and   13  ten-speed…

A: Solution

Q: a. A box contains 20 “LAYS" snack packets, each packet is equally likely to be MASALA or FRENCH…

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: A flashlight has 71 batteries, 13 of which are defective. If two are selected at random without…

A:

Q: ) A human resources director for a large corporation claims that of the 97 employees on a typical…

A: P: probability that an employee is on time P= 90/97 = 0.9278 a) P(both arrive on time) = (0.9278)2 =…

Q: A snack-size bag of M&Ms contains 12 red candies, 12 blue, 7 green, 13 brown, 3 orange and 10…

A: Given:A snack bag contains some candies.Number of Red candies = 12Number of blue candies = 12Number…

Q: S) Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 6 wood and 14…

A:

Q: Of 350 workers surveyed in an industrial community, 65 worked in the lumber yard and 30 work in the…

A: Total number of worker surveyed in community is 350. The number of worker for yard is 65. The number…

Q: A manufacturer of electronic car vehicles finds that 10% of production is defected. What is the…

A: The binomial distribution is a discrete probability distribution with parameters n and p. If x is a…

Q: A Supervisor of a pharmacy found that 30% of the workers receive their spending money from part –…

A: Obtain the probability that at least 3 of them will have part- time jobs. The probability that at…

Q: A building contractor buys 65% of his cement from supplier A and 35% from supplier B. A total of 85%…

A: Let us denote : A= the event that the bag is from supplier A B= the event that the bag is from…

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: In a second-grade class containing 13 girls and 9 boys, 2 students are selected at random to give…

A:

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: In a large population, 65 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given, Probability that the people have been vaccinated (p)=0.65 Sample size (n)=4 Lex x be the…

Q: A three-person jury is to be selected, at random, from a pool that has 6 people with green eyes and…

A: A pool that has 6 people with green eyes and 6 people with blue eyes. A 3-person jury is to be…

Q: A manufacturing process has a​ 70% yield, meaning that​ 70% of the products are acceptable and​ 30%…

A: Obtain the probability that all of them are acceptable.   The probability that all of them are…

Q: A cookie is selected at random from a basket containing 21 mint cookies, 18 caramel cookies, three…

A: Given that there are 21 mint cookies, 18 caramel cookies, 3 sugar cookies, and 28 peanut butter…

Q: Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have…

A: It is given that P(puncture) = 0.10 P(smashed corner) = 0.05 P(puncture and smashed corner) = 0.009

Q: FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Given dataNo of ducks = 5Probability of an infected duck p = 0.3Using Binomial theoremProbability of…

Q: Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Let the random variable X represents the number of infected ducks.It is given that the probability…

Q: There are 5 red eggs and 9 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: From the given information we Want to find the probability.

Q: Suppose that 73% of students in a college have a smart phone. If you select three students at…

A: Let success denotes one selected student have a smart phone. Then p=probability of success= 0.73…

Q: A building contractor buys 60% of his cement from supplier A and 40% from supplier B. A total of 95%…

A:

Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…

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.