In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly select five people, what is the probability of them being civil engineers?

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: If you toss a fair coin six times, what is the probability of getting all heads?

A: Concept: The number of ways of achieving success that is the total number of possible outcomes is…

Q: Nine percent of the population has blood type B. If we choose 18 people at random, what is the…

A: Given,n=18p=0.09q=1-0.09=0.91Let X= no.of people have blood type B in a sample of 18…

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

Q: A study contains 31 women and 24 men. If 3 subjects are randomly selected without replacement, what…

A: Solution-: We have, Number of women =31, Number of men =24            Total number of persons (Women…

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: If you know the names of the remaining 10 students in the spelling bee, what is the probability of…

A: You have 10 choices for the first student * 9 choices for the 2nd student * 8 choices for the 3rd…

Q: If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

A: It is known that Total cards = 52 Number of diamonds = 13 Number of 5 = 4 Number of 5 of diamonds =…

Q: If you pick one card at random from a standard deck of 52 cards, what is the probability it will be…

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Q: A bag contains 77 greengreen marbles, 1010 blackblack marbles, and 55 whitewhite marbles. If two…

A: Given: 7 green marbles 10 black marbles 5 white marbles

Q: If you roll a single, six-sided die, what is the probability of getting either a 4 or a 5?

A:

Q: 4. If one card is randomly selected from a deck of cards, what is the probability of selecting a…

A: Here AS per note given I have calculated 4

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

A:

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: Given a standard deck of cards, and you draw a single card at random. What is the probability of…

A: There are totally 52 cards in a standard deck in which there are 13 spades. There is only one Ace in…

Q: In a recent study nationwide, it was found that 52% of people like college football better than…

A: Answer: Given that: p= 0.52 , n= 2 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: In a family of 6 children, what is the probability of getting exactly 5 boys?

A: Given: n=6probability of boy p=0.5probability of girl q=0.5 The probability of getting exactly 5…

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: In a​ five-card poker​ hand, what is the probability of being dealt exactly one six and no picture…

A: For any event A and the sample space S, the probability can be found as,

Q: Taryn has 15 soccer trophies but she only has room to display 9 of them on a shelf. If she chooses…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. It…

Q: A wooden box contains 17 red cubes, 20 blue cubes, 34 yellow cubes and 41 green cubes, what is the…

A: given,no.of red cubes=17no.of blue cubes=20no.of yellow cubes=34no.of green cubes=41total no.of…

Q: If 9 out of 1501 people have a certain genetic defect, what is the probability of selecting three…

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Q: A basket contains 6 apples, 5 bananas, 4 oranges, and 5 guavas. Dominic randomly chooses one piece…

A: Given that a basket contains  6 Apples 5 Bananas 4 Oranges 5 Guavas

Q: If we are selecting only one card from a standard deck of 52 playing cards, then the probability of…

A: The deck is a standard deck of 52 playing cards. The number of cards of the club is 13. The number…

Q: If you know the names of the remaining three students in the spelling bee, what is the probability…

A: The probability is the chance of an occurrence of an event. Given that, the names of three students…

Q: What is the probability of a family having five boys born in a row?

A: chance of having a boy, is 0.5. and to have 5 boys in a rowit is with same chance always…

Q: If two coins are tossed, what is the probability of getting both heads

A:

Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

A:

Q: You randomly select one card from a standard 52-card deck of playing cards. What is the probability…

A: Given, deck contains 52 cards i.e., n(S)= 52   Number of 5 number  red cards in a deck= 2 Number of…

Q: If your playlist has 7 rap songs, 8 hip hop songs, and 3 folk songs on it and you select one song at…

A: You have posted multiple questions. As per the instruction, we will be answering only one question.…

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A:

Q: In a​ two-card hand, what is the probability of holding two​ kings?

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: An introductory nursing class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12…

A: Given data, freshman males=9 freshman females=15 sophomore males=8 sophomore females=12 Total =44…

Q: A bag of candies contains 14 jolly ranchers, 6 skittles, and 10 chocolates. What is the probability…

A: Solution: From the given information, a bag contains 14 jolly ranchers, 6 skittles and 10…

Q: If A and B are events in the same sample space, then how will you get the probability of A or B…

A: If A and B are events in the same sample space, the probability of A or B occurring is…

Q: A bag of candies has blue,green,yellow, and red candies in it. What is the probability of randomly…

A: Given that a bag of candies has blue, green, yellow and red candies in it. To find the probability…

Q: In a 5-card poker hand, what is the probability of getting a full house (three of the same number,…

A: there are total 52 cards in standard  deck of card 4 suit and each suit have 13 cards

Q: In a small private​ school, 4 students are randomly selected from 14 available students. What is the…

A: Solution: Total number of available students n = 14 r =4

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: A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles,…

A: Given that in a jar of marbles contains the following: two purple marbles, four white marbles, three…

Q: If one card is drawn, what is the probability of drawing an ace or a 3?

A: Deck consists of 52 cards. n(S)=52 Number of 'Ace's in a deck=4 Number of '3's in a deck=4 P(Ace or…

Q: In a​ five-card poker​ hand, what is the probability of being dealt exactly one seven and no…

A: The probability that the being dealt exactly one seven and no picture cards is obtained below:   The…

Q: What is the probability of randomly picking a 11 or 5 in one draw from a deck of ordinary playing…

A:

Q: If a sack contains eight blue marbles and ten red marbles, and you randomly select four, what is the…

A: The sack contains 8 blue and 10 red marbles.

Q: If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the…

A: Given data: The total numbers of patients are n=100. The numbers of patients who have flu are f=20.…

Q: If you know the names of the remaining five students in the spelling​ bee, what is the probability…

A:

Q: Alfonso and Cordell each bought one raffle ticket at the state fair. If 50 tickets were randomly…

A: Alfonso can pick a ticket from 50 tickets in 50 ways.  When Alfonso picks a ticket then Cordell can…

Q: In a class of 50 students, 27 are Democrats, 9 are business majors, and 7 of the business majors are…

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Q: What is the probability of flipping a penny and a nickel and obtaining one head and one tail?

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.