A wallet contains five $10 bills, four $5 bills, and six$1 bills (nothing larger). If the bills are selected one byone in random order, what is the probability that at leasttwo bills must be selected to obtain a first $10 bill?

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p)  p = 1 -.26-.33 = 0.41 ____________________________

Q: If you pick a card at a random from a wheel shuffle, standard deck of playing cards, what is the…

A: A card is picked from well shuffled standard deck of playing cards Total no. of cards in a standard…

Q: A card is randomly selected from a standard deck of 52. What is the probability that the card is…

A: Given: A card is randomly selected from a standard deck of 52.

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

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 law firm has nine senior and four junior partners. A committee of three partners is selected at…

A: In this given question we have to find the Probability that at least one of the junior partners is…

Q: If a box contains 10 bulbs, of which just three are defective. If a random sample of five bulbs is…

A:

Q: The probability that exactly 2 of the rocks are sedimentary is

A:

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: In a town of 800 citizens, two languages are spoken: Italian and and French. 400 citizens speak at…

A: Solution: From the given information, there are 800 citizens. The number of citizens speak at least…

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: If you select one card at random from a standard deck of 52 cards, what is the probability that the…

A:

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: In a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the…

A: Let, A=basketball B=baseball Given that: n(A)=20 n(B)=17 n(A or B)=25 So, n(A and B)=n(A)+n(B) - n(A…

Q: A bag contains three black balls, three red balls, and three gold balls. If you pick two balls at…

A: A bag contains three black balls, three red balls, and three gold balls. So, the total number of…

Q: Select one card from a deck of well-shuffled cards. What is the probability that we draw an Even…

A: A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2,…

Q: In a large bag of marbles, there are 20 red, 15 blue, and 10 green marbles. If three marbles are…

A: From the provided information, In a large bag of marbles, there are 20 red, 15 blue, and 10 green…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: A fair coin is flipped three times. If the first flip results in "heads," what is the probability…

A:

Q: A very large pool consists of 22% Democrats, 39% Republicans, and the rest independents. What is the…

A: Given, P(Democrats) = 0.22, P(Republicans) = 0.39, P(independent) = 1-0.22-0.39 = 0.39

Q: In a group of dogs, 20 dogs are poodles and 30 dogs are beagles. If a dog is selected at random,…

A: We want to find the probability a beagle is selected

Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If…

A: Given that the bag contains 46 U.S. quarters and 4 Canadian quarters. Total (46+4)=50 coins in the…

Q: closet contains eight pairs of shoes. You blindly pull out eight shoes. What is the probability that…

A:

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: In a deck of 52 cards, what is the probability of getting a hand of five cards and getting exactly…

A: The number of ways to select 5 cards from deck of 52 cards=C552=52!5!…

Q: There are five women and four men on a committee. A subcommittee of four people is selected at…

A: Given,no.of women=5no.of men=4Total no.of people=9

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.