If 2 random students were selected (with replacement), what is the probability that both have the same summer plans? Show your work.

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

Q: An advertising company has 12 men and 8 women. Suppose the company needs to select a team of 5…

A: Given that Total member=12+8=20 Men member=12 Women member=8 5 member are selected at random

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

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Q: On an average, there are 2 visits to a supershop per minute. What is the probability thatthe…

A: Given,The average no.of visits to a supershop per minute is 2so, The average no.of visits to a…

Q: Of all college freshman who try out for the track team, the coach Will only accept 30%. If 15…

A: Let X denote the number of freshman try out for the track team and it follows binomial distribution…

Q: Carson has a 30% chance of beating his brother in a race. If they raise 10 times, what is the…

A: (n C r) prqn-r

Q: In a mall there is a clothing seller who does a discount. If there are 10 out of 45 people who visit…

A:

Q: When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is…

A: We will use binomial distribution for this problem For every trial  For Jessica ;  probability for…

Q: A dice is rolled 3 times. What is the probability that a 6 will appear in the toss?

A: Given Information: A dice is rolled 3 times. To find the probability that a 6 will appear in the…

Q: B- A magazine reported that 20% of American drivers read the newspaper while they driving. If 15…

A: Given data Probability of reading newspaper while driving p = 0.2 No of drivers selected n = 15 Let…

Q: An advertising company has 12 men and 8 women. Suppose the company needs to select a team of 5…

A: Given,no.of mens=12no.of womens=8Total no.of members=20

Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs  and 4 daffodil…

A: The probability is calculated by dividing the number of observation can involve in the sample…

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A:

Q: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of 8?

A: Solution-: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of…

Q: In a family with 4 children, excluding multiple births, what is the probability of having 2 girls…

A: Probability is ratio of favourable chances to total chances. Total chances = S Favourable chances =…

Q: When 5 cards are dealt from a standard deck of 52 cards, what is the probability of getting 2 aces…

A:

Q: In a family with 7 children, excluding multiple births, what is the probability of having exactly 1…

A: It is given that there is equal chances of having a boy and a girl. So the probability of having a…

Q: In Noura's art class, 1 out of 5 paintings that she makes will be chosen for an art show. If she is…

A: Note:  Hi there! Thank you for posting the question. As your question has 2 different values,  text…

Q: Gabriel has 4 black socks, 6 red socks and 2 blue socks in his drawer. If he  randomly takes 2 socks…

A:

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

A: Givenn=6p=0.75x~Binomial(n=6,p=0.75)P(X=x)=Cxn px (1-p)n-x  ; x=0,1,2...,n

Q: Three coins are tossed, what is the probability of showing 2 tails and one head?

A: Solution:   SAMPLE SPACE IS :H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-T

Q: A youth group has 8 boys and 6 girls. If a slate of 4 officers is selected, find the probability…

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Q: There are 20 students who will join either volleyball team, or basketball team or both. If 12…

A: The number of student join both is   N(A or B) =N(A)+N(B)-N(A and B) N(A and B)= N(A)+N(B)- N(A or…

Q: f you flipped a coin and it lands on heads 7 times in a row, what is the probability it will land on…

A: In the flipping of a coin, all the flips are independent.  If the coin is flipped 7 times, the odds…

Q: If an average of 18 customers are served per hour, what is the probability that the next customer…

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Q: class consists of 33 women and 21 men. If a student is randomly selected, What is the probability…

A: Given data, class consists of 33 women 21 men Total strength in class=21+33=54 P(Student is woman)=?…

Q: Two students are randomly selected from a class of 12 boys and 9 girls. What is the probability that…

A: Number of boys = 12  Number of girls = 9  Total students = 21

Q: The probability that a house in an urban area will be burglarized is 3%. If 22 houses are randomly…

A: Answer: Given that: p= 0.03 , n= 22 now will use Binomial probability…

Q: A secretary makes 2 errors per page, on average. What is the probability that on the next page she…

A: Given: Average number of errors per page is  λ=2

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: The probability that a house in an urban area will be burglarized is 6​%. If 47 houses are randomly​…

A:

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: Two different missiles are shot simultaneously at a practice target. If the probability of the first…

A: Ans#- Given two different missiles are shot simultaneously at a practice target.…

Q: The cheerleading squad is made up of 12 girls. A captain and a co-captain are selected at random.…

A: Given that there are total 12 girls.  We need to select a captain and a co-captain. Those are 2…

Q: Nasa needs to select a 7 person crew for a space mission from 43 applicants of whom are 21 women.…

A: Given data: the total numbers of applicants are n=43. The numbers of persons selected for space…

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

A:

Q: Suppose Nate loses 42% of all video games. What is the probability he will lose 3 games in a row but…

A: Given: P( Losing a video game ) = 0.42 P( Winning a video game ) = 1-0.42 = 0.58

Q: A fair coin is tossed thrice, what is the probability of getting all 3 same outcomes?

A: Obtain the probability of getting all 3 same outcomes.   The probability of getting all 3 same…

Q: At a high school with 200 students, 32 play football, 18 play basketball, 8 play both sports. If a…

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Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

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Q: A bag has 12 blue marbles and 24 red marbles. If you draw 3 marbles with replacement, what is the…

A: Let p be the probability of blue marble let n be the number of marble which one is drawn X be the…

Q: .If a committee with 2 student members is to be formed, what is the probability of forming a…

A: Hey there! Thank you for posting the question.  Since there are multiple questions posted, we will…

Q: The Dallas Mavericks play the Oklahoma City Thunder in a best of 7 game NBA playoff series. If the…

A: The given scenario follows binomial distribution with n=7 and p=0.40.

Q: A coin was tossed 4 times ,the probability of getting 4 tails :

A:

Q: A basketball player has a 0.52 probability of making a three-point shot. What is the probability…

A: Geometric distribution : A geometric random variable defined as number of trials until the first…

Q: A convenience store estimated that 22% of its customers come in to buy milk. What is the probability…

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Q: A recent study shows that 4% of California residents consider purchasing an electric car . If we…

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Q: n a group of 100 students, 80 study Physics, 90 study Math and 5 study none of the subjects. What…

A:

Q: If you pick a person at random in Udmurtia, what is the probability that they Udmurt or have red…

A:

Q: If a seed is planted, and it has 75% chance of growing into a healthy plant and if 6 seeds are…

A: Given, p=75%=0.75 (Grow as healthy plant) q=1-p=0.25   If n=6 P(X=3) dont grow =?

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.