Due to a manufacturing​ error, 9 cans of regular soda were accidentally filled with diet soda and placed into a 36​-pack. Suppose that two cans are randomly selected from the 36​-pack. ​(a) Determine the probability that both contain diet soda. ​(b) Determine the probability that both contain regular soda. Would this be​ unusual? ​(c) Determine the probability that exactly one is diet and exactly one is regular.

Q: In a certain factory, the probability of workers suffering from an occupational disease is 20%.…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Assume that there are 13 board members: 7 females, and 6 males including Simeoni. There are 5 tasks…

A: 1) Given that there are 13 board members in which 7 females and 6 males including Simeoni. There are…

Q: a fair six sided die is rolled 10 times.each is independent.you want to find probability of finding…

A: Let the random variable X denotes the number of times a fair six-sided die is rolled. The number of…

Q: In a drawer, there are 12 pairs of socks, 8 of which are white. If you randomly select two pairs of…

A: GivenTotal no. of pair of socks=12No.of white pair of socks=8

Q: Of the cartons produced by a company, 9% have a puncture, 3% have a smashed corner, and 1.2% have…

A: Given that, P(have a puncture) = 9% P(have a smashed corner) = 3% P(have a puncture and a smashed…

Q: A cafe´ serves four types of bread roll, and each roll contains one of four fillings. The…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

Q: In a class of 10 students there are 7 boys and 3 girls.. If a committee of 5 students is selected…

A:

Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…

A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: A physics class has 40 students. Of these, 13 students are physics majors and 15 students are…

A:

Q: A bunch of 100 carrots were harvested from a garden. The farmer inspected four randomly selected…

A: There are total 100 carrots. 5 carrots are rotten. So (100-5)=95 carrots are good. The farmer can…

Q: Of the cartons produced by a company, 9% have a puncture, 7% have a smashed corner, and 0.9% have…

A: From the given information we find the probability.

Q: A cooler at a picnic contains 100 cans of soda covered by ice. There are 16 cans of cola, 46 cans of…

A: No.of cola cans=16 No.of orange soda cans=46 No.of ginger ale cans=20 No.of root beer cans=18 Total…

Q: A physics class has 50 students. Of these, 16 students are physics majors and 14 students are…

A: given data  n(total)  50 n(physics) = 16 n(female) = 14 n(physics and female) = 6 P(female or…

Q: Of the cartons produced by a​ company, 4​% have a​ puncture, 7​% have a smashed​ corner, and…

A: Given that, 4% have a puncture 7% have a smashed corner 1.3% have both a puncture and a smashed…

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Given data The probability that Alice arrives on time is 80% The probability that Bob arrives on…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

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

A:

Q: A cooler at a picnic contains 100 cans of soda covered by ice. There are 2525 cans of​ cola, 15 cans…

A: The objective of this question is to find the probability of selecting a can of root beer, ginger…

Q: A physics class has 50 students. Of these, 17 students are physics majors and 18 students are…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: The probability that visiting particular doctor results in neither ECG or  an X-ray is 35%. Of all…

A: Given: P(X-ray ) = 30% = 0.30 P(ECG) = 40% = 0.40 P(Neither ECG nor X ray) = 35% = 0.35

Q: In a group of children the probability a child had black hair is 0.7. The probability that a child…

A: We have given that  P( black hair ) = 0.70 P( brown eyes ) = 0.55 P( black hair or brown eyes ) =…

Q: A batch of 100 cords has 8 defective cords. If 4 cords, taken at random from the batch, are to be…

A:

Q: The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a…

A: Given: For California: Mean,μ=22Std deviation,σ=4Sample size, n=30 For New York: Mean,μ=42Std…

Q: In a family of 4 Children, the probability of a male birth is 0.5. Find the probability that the…

A: Sample of size(n)=4p=Probability of a male birth=0.5q=1-pq=1-0.5=0.5

Q: In a blood testing procedure, blood samples from 4 people are combined into one mixture. The mixture…

A: Obtain the probability that mixture will test positive.   The probability that that mixture will…

Q: Can you please write B up in writing as it is incorrect but I think it's because it's been converted…

A: f(x) = 3(x-1)^2, 0<x<1

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: The probability that a song was rock is 0.5, the probability that it had over 1,000 plays is 0.4,…

A:

Q: A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of…

A:

Q: In a single throw of two dice, find the probability that neither a doublet nor a total of 8 will…

A: Here, two dice are thrown. Let A denote the event that the dice resulted in a doublet. Let B denote…

Q: A group of people were asked if they had run a red light in the last year. 470 responded "yes", and…

A: Given that,  Response, Yes = 470 Response, No= 283 Total responses = Yes+No = 470+283 n= 753

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.