Suppose an urn contains 25 red balls and 15 blue balls. Consider the experiment of choosing 2 balls from the urn, without replacement. The associated sample space consists of the pairs recording the color of the balls selected. What is the probability of the event, "both balls are red?"

Q: 90% of the voters favor Ms. Stein. If 400 voters are chosen at random, what is the expected number…

A: Let X be the number of voters who indicate favoring Ms. Stein. Suppose 90% of the voters favor Ms.…

Q: Forty percent of Clinton County residents are uncomfortable using the Internet. Suppose 7 such…

A: Given that n =7 , p= 0.40 Find P ( X =5 ) = ?

Q: Consider the experiment of drawing a card at random from a shuffled deck of 52 cards. What is the…

A: Let B be an event of  drawing a black card, thenPB =no. of black cardstotal no. of cards=2652=0.5

Q: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30%…

A: Given that, The random variable X is the color preferences of new car buyers. 30% population prefers…

Q: Historically 20 % of workers participate in a retirement plan. A group of 5 workers is randomly…

A: Given data, 20 % of workers participate in a retirement plan.  p=20% =0.20 A group of 5 workers is…

Q: In a factory, 40% of the machines are defective. If a sample of 10 machines is selected randomly,…

A: Calculate the number of possible combinations of 4 defective machines out of 10: (10 choose 4) =…

Q: if you are rolling two 6 sided die:

A: a. Probability denotes chances of occurring an event. It lies between 0 and 1. The total sample…

Q: In the 6/25 lottery game, a player selects 6 numbers from 1 to 25. What is the probability of…

A: Given,numbers from 1 to 25

Q: A manufacturer ships toasters in cartons of 10. In each​ carton, they estimate a 30​% chance that…

A: Let X be the random variable from binomial distribution with probability (p)= 10% = 0.10 and sample…

Q: 29% of automobile drivers state that they have driven while under the influence of alcohol. Suppose…

A: Given that  n = 4 , p = 29% = 0.29 , q = 1 - p = 1 - 0.29 = 0.71 X ~ Binomial (n = 4 , p = 0.29) X =…

Q: Consider an experiment that is performed by filpping a coin 3 times. The resuit of the fIips (H-…

A: Given that  Flipping a coin 3 times  and result of the flip ( Head or Tails ) recorded.   We know…

Q: What is the process for solving the following question?   Suppose 57% of the students at UNCG are…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A jar contains 2 red, 4 green, 5 blue, and 5 yellow marbles. If a single marble is chosen at random…

A: Sample space = { 2 red marbles, 4 green marbles, 5 blue marbles, 5 yellow marbles } Number of…

Q: n experiment consists of rolling two 6-sided dice and observing the numbers on the top of the dice.…

A: roll a two six sided dice.  observe the numbers on the top of the dice.  number of outcomes in…

Q: An experiment is performed where an 8-sided die is rolled and then a coin is flipped. The possible…

A: From the provided information, The total outcomes after rolling a 8-sided and heads and tails for…

Q: On a multiple-choice test, each question has 5 answers, only one of which is correct. A student…

A: The number of questions answered are 3. The number of answer are 5.

Q: 40 people went to the fair.  30 people either went on the merry-go-round, the roller coaster or…

A: Given that: the total number of people who went on roller coaster= 15 And the total number of people…

Q: A committee of 4 is to be randomly selected from 8 women and 10 men. What is the probability of…

A: We want to find probability of having three men on the committee.

Q: An experiment consists in asking 8 people whether they have a college degree, and counting the…

A: Let 0 represents that the individual, answer that they do not have the degree, while 1 represents…

Q: Find the odds in favor of obtaining the following outcome.

A: Here a consonant when 1 letter is chosen at random from among the 26 letters of the English alphabet

Q: In the game "Lucky 10," 20 numbers are drawn from the numbers 1 to 80. You tick 10 numbers on the…

A: The numbers are from 1 to 80. The player ticks 10 numbers. Thus, the total number of possible ways…

Q: Suppose you throw a fair die and flip a fair coin.  Let’s represent the outcomes of 3 on the die and…

A: 1) Let us denote H=head and T=tail So the other outcomes are 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T,…

Q: A committee has seven members. There are three members that currently serve as the board's chairman,…

A:

Q: A factory produces candies, and 21% are blue. In the factory, the candies are randomly mixed…

A: Let X be the number of blue candies in the box, that follows binomial distribution with n=29 and…

Q: three children.  Assume the likelihood of a girl (G) and boy (B) is the same.  How many…

A: Given, Suppose a family has three children.  Assume the likelihood of a girl (G) and boy (B) is…

Q: Consider an experiment in which someone flips a fair coin. If the coin lands heads-up, then a…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: When a die is rolled 80 times, the following is observed: 6 ones, 5 twos, 3 threes, 60 fours, 2…

A:

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.