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: In a small private​ school, 4 students are randomly selected from 11 available students. What is the…

A: Given that, N=11 R=4 Number of youngest students among the available students = 4

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: In the experiment of rolling two red and black dice at once, find the following: 1. Find the sample…

A: 1. Rolling two fair dice (Red and Black) having the following outcomes : S={1,1; 1,2; 1,3; 1,4;…

Q: An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of…

A: From the provided information, Total cards in standard deck = 52 Number of queen of spades = 1

Q: A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the…

A: Given that, A manufacturing machine has a 9% defect rate. Sample size = 5

Q: F YOU KNOW THE REMANING 10 STUDENTS IN THE SPELLING BEE, WHAT IS THE PROBABILITY OF RANDOMLY…

A:

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: A manufacturing machine has a 3% defect rate. If 6 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=3%=0.03 The number of items chosen is: n=6   The…

Q: w many outcomes are there in the sample space? no ma

A: Sample space in statistics is defined as the set of all possible outcomes in any random experiment.…

Q: Of 500 employees at a university, 45% are female. A sample size of 60 employees is chosen at random.…

A: Note: Use the finite correction factor if n/N is greater than 0.05. Therefore, the Finite…

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: The tickets in a box have an average value of 75, and the SD is 10. Twenty-five draws are made at…

A:

Q: Six percent of American adults are considered millionaires. If 100 randomly selected adults are…

A: Here it is given that 6% of American adults are millionaire. We need to find the probability of 7 or…

Q: A 4-sided die can be used to select a number at random from the numbers 1, 2, 3, 4.  Suppose you…

A:

Q: An experiment consists of dealing 5 cards from a standard​ 52-card deck. What is the probability of…

A: An experiment consists of dealing 5 cards from a standard​ 52-card deck. To find the probability of…

Q: A small voting district has 90 female voters and 80 male voters. A random sample of 10 voters is…

A: Given, No. of Female voters = 90 No. of male voters = 80 Total voters = 90+80 = 170 Random sample of…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: suppose we select one card from a standard deck of 52. what is the probability of selecting a club?

A: given data select one card from a standard deck of 52 cards. p(selecting club) = ?

Q: Pablo randomly picks three marbles from a bag of eight marbles (four red ones, three green ones, and…

A: note: C(a,b)=a!b!(a-b)!     (a>b). we will be using combination as Pablo chooses 3 marbles out of…

Q: Pablo randomly picks four marbles from a bag of nine marbles (five red ones, three green ones, and…

A: Given,no.of red marbles =5no.of green marbles=3no.of yellow marbles=1total n.of marbles =9

Q: Find the sample space of tossing 4 coins, 4 coins are tossed. What is the probability that at least…

A: Since , the coin is tossed 4 times. Our aim is to find the probability that at least 2 are heads and…

Q: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: A pair of dice are tossed. What is the probability of getting a total of 8 by getting the sample…

A: A pair of dice are tossed.

Q: An experiment consists of dealing four cards from a standard 52-card deck. What is the probability…

A: Four cards are dealt from a standard deck of 52 cards.

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: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: what is the probability of selecting a diamond from a standard deck of cards?

A: Here we need to find the probability of selecting a diamond from a standard deck of cards. We know…

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: A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is…

A:

Q: Four coins are tossed. Let y be the random variable that represents

A:

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: What is the probability of selecting a 6 or a res card from a 52 card deck?

A: Solution:Total number of ways of drawing 1 cards from 52 cardsn(S)=52Let E = event of getting 1 card…

Q: An experiment consists of tossing a fair coin 3 times. Find the probability of getting at least two…

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.