At a college, 20% of the students take Math, 30% take History, and 5% take both Math and History. If a student is chosen at random, what is the conditional probability that a student is taking Math given that he is taking History?

Q: Out of the 125 children at summer camp, 45 signed up for swimming, and 38 signed up for arts and…

A: Given: Total students = 125 Students who signed up for swimming (S) = 45 Students who signed up for…

Q: The guidance department has reported that of the senior class, 4.3% are members of Key Club, K, 7.6%…

A: Here, P(K) =0.043 P(P) =0.076 P(Both)=0.019

Q: According to a survey of American households, the probability that the residents own 2 cars if…

A: According to the provided data,

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

A:

Q: In a class, 40% of the students offered Statistics, 30% offered Mathematics, and 20% offered both.…

A: Let us define the event. A: The student offered the Statistics. B: The student offered the…

Q: The sex ratio of newborn human infants is about 105 males: 100 females. If four infants are chosen…

A: Given, sex ratio of newborn human infants is about 105 males: 100 females. sex ratio for male p =…

Q: In a class, 50% of the students play basketball, 20% of the students play football and 10% of the…

A:

Q: Tom,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at…

A: In each deck of 52 cards, there are 4 aces. So the probability of picking a ace is= 4/52 =1/13

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

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: At a certain college, 28% of the students major in engineering, 18% play club sports, and 5 both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: What is the probability of a student chosen at random liking wizards of Waverly place and Suite life…

A: Given: Number of students liking Waverly place and Suite of Zach and Cody only = 313 Number of…

Q: A cooler has 12 bottles of water, 8 bottles of juice, and 5 bottles of soda. If Randy selects a…

A: The number of water bottles, W=12The number of juice bottles, J=8The number of soda bottles,…

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: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: A pair of dice is thrown. if it is known that one dice shows a 4, what is the probability that the…

A: The number of dice thrown are 2.

Q: From experience, an airline knows that only 70% of the passengers booked for a certain flight…

A:

Q: At a fast-food restaurant, 60% of the patrons order a burger. Of those ordering a burger, 40% also…

A:

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: 3. The probability of Team A winning is 0.3, probability of Team B winning is 0.5, and the rest is…

Q: Suppose in the video game Harry Potter Returns, each time you kill a dragon there is a 10% chance…

A: Introduction: For a person who has played the game and killed 100 dragons, denote X as the number of…

Q: If you randomly select a letter from the phrase "I like to swim at the recreation pavilion," what is…

A: Here the given phrase is ,  "I like to swim at the recreation pavilion". Total number of letters in…

Q: At a certain college, 30% of the students major in engineering, 20% play club sports, and 10% both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: When the three friends play The Duck Game together, Kiara draws first, then Denny , and then Rayanna…

A: p=(25/50)*(20/49)

Q: In a group of 20 students, 7 like ice tea and the others do not. Two students are randomly selected…

A: Given : Total students = 20 Number of students like ice tea = 7 number of students does not like ice…

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: The grade 10 board of officers of a school consists of seven girls and 4 boys.a committee of five…

A: We can select 2 girls from 7 girls in 7C2=21 ways We can select (5-2)=3 boys from 4 boys in 4C3=4…

Q: In a three subject class setting, there is a 75% chance that the students will pass only two…

A:

Q: About 35% of the population have a college degree. If three people are randomly selected, what is…

A: Given,  p = 35% = 0.35 q = 1 - p = 1 - 0.35 = 0.65 Sample size, n = 3 Let X be a random number which…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: In a particular class, 78% of the students have a smartphone, 38% have a smartphone and a tablet,…

A: GivenPercent of students have a smartphone = 78%percent of students have a smartphone and a tablet =…

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: At a certain hospital, 36 patients have lung cancer, 28 patients smoke, and 24 have lung cancer and…

A: Topic = Probability

Q: At a particular high school, 18% of the students participate in student council and 47% of the…

A: At a particular high school, 18% of the students participate in student council 47% of the students…

Q: If the probabilities are 0.10, 0.14, 0.23, and 0.25, respectively, that a student buying a new…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: At an amusement park basketball game, you earn a large prize for making 3 baskets, a medium prize…

A:

Q: In an experiment, the probability that event A Occurs is and the probability that event B 6 occurs…

A:

Q: Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws.  A sports…

A:

Q: In a particular community, 70% of the voters are Democrats, and 30% are Republicans. Sixty percent…

A:

Q: Tom,Dick and Harry have three deck of cards.If each of them pick pne card from their own deck at…

A: Given,  Tom,dick and Harry have three deck of cards. Each of them pick one card from their won deck.…

Q: In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students at…

A: solution.

Q: In a summer camp, 48% of the children are enrolled in swimming and 40% in tennis. One-third of the…

A:

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: At a local​ college, four sections of economics are taught during the day and two sections are…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: the teachers’ room 60% are women; one in three women wears glasses and one in two men wears glasses:…

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: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

A: Given, 11 bottles of zinfandel, 9 of merlot and 7 of cabernet Total bottles = 27 If 6 bottles are…

Q: 1) In New York State, 46% of all teenagers own a skateboard and 35% of all teenagers own a…

A: Teenagers own a skateboard = 46% = 0.46teenagers own roller and own a skateboard = 35%=0.35

Q: In a given​ county, records show that of the registered​ voters,50%are​ Democrats,40%are​…

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.