Beck is allergic to peanuts. At a large dinner party one evening, he notices that the cheesecake options on the dessert table contain the flavors: 10 slices of chocolate,12 slices of caramel, 12 slices of peanut butter chocolate, and 8 slices of strawberry. The desserts are served to the guests at random.  what is the probability that becks cheesecake contains peanuts? what is the probability that becks dessert does not contain chocolate?

Q: Morgan buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 8…

A: The probability formula is, Probability=Favourable outcomesTotal outcomes A bag contains totally 27…

Q: Here is a table showing joint probabilities of survival on the Titanic (a British ship that sank in…

A:

Q: company selling substandard drugs to developing countries sold 3,000,000 capsules with 210,000 of…

A:

Q: Here is the probability model for the blood type of a randomly chosen person in the United States.…

A:

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: Let A be the win in first game Let B be the win in second game

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: a. P(winning in 1st game )×Pwinning in 2nd  game=14200000×1705600=3.374365619×10-13

Q: if a relay is selected at random from the output of the company, what is the probability that it is…

A: Let us define some events A : a relay is from plant 1. B : a relay is from plant 2. C : a relay is…

Q: A biomedical research company produces 40%40% of its insulin at a plant in Kansas City, and the…

A:

Q: A record-store owner assesses customers entering the store as high school age, college age, or…

A:

Q: In USA, the results of a survey involving the use of sleepwear while travelling were listed as…

A: We have given that the probability of male and female on use of different sleepwear.

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: The number of participant in first lottery is 4.2 millions. The number of participant in second…

Q: A record-store owner assesses customers entering the store as high school age, college age, or…

A: A) Probability of the randomly chosen customer entering the store will make a purchase is…

Q: At a middle school, 18% of all students play football and basketball and 32 % of all students play…

A:

Q: a. What is the probability that a randomly selected order was placed online?   b. If a person placed…

A:

Q: A small bag of skittles has 8 red, 9 blue, and 3 green candies. A box of chocolates has 4 cherry, 10…

A:

Q: In a drug study of a group of 500 patients, 150 patients responded positively to drug #1, 200…

A:

Q: Wells were dug in a plain, and it was found that 15% of the water from the dug wells was not…

A: Solution: Given: Number of new wells: n = 10 It was found that 15% of the water from the dug wells…

Q: The accompanying table gives information on the type of coffee selected by someone purchasing a…

A: a) From the table, we can see that a total of 14% + 20%= 34% of people purchased a small cup of…

Q: A survey of families revealed that at a particular holiday meal, 51% of all families eat turkey, 30%…

A: The given information is represented in the following Venn diagram:

Q: At a tune-up and brake repair shop, the manager hat found that a car will require a tune-up with…

A: Let A= a car require a tune-upB=a brake repair jobgiven,P(A)=0.6P(B)=0.1P(A∪B)=0.02

Q: Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results…

A: It is given that Number of times two head occurs = 63 Number of times one head and one tail occurs =…

Q: The everlasting light bulb company produces light bulbs, which are packaged in boxes of 20 for…

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

Q: The residents of a small town and the surrounding area are divided over the proposed construction of…

A: a. The contingency table is given as,   Support Racetrack Oppose Racetrack Row Total…

Q: A survey showed the following probabilities of having X number of dogs per household X = number of…

A:

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: Given that 2 out of every 10 people who visit a local store purchase milk.  So the probability that…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

A: Let the random variable X denote the number of visitors who visit a local store purchase cigarettes.…

Q: A national survey found that 42​% of adults ages​ 25-29 had only a cell phone and no landline.…

A:

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: Given: n=13 p=210=0.2

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: A biomedical research company produces 41% of its insulin at a plant in Kansas City, and the…

A: Let us define some events A : insulin come from the plant in Kansas city. B : insulin come from the…

Q: What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City…

A: Let us define some events A : unit of insulin comes from the plant in Kansas City B : unit of…

Q: The manufacturer of 'Imaginaricil', a drug for lowering blood pressure, claims that the drug is…

A: Solution: Let X be the random variable that the drug is successful in lowering blood pressure. The…

Q: At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 48 22 Cold…

A: Given :   small medium large Hot 5 48 22 cold 8 12 5

Q: A biomedical research company produces 50% of its insulin at a plant in Kansas City, and the…

A: Introduction: Bayes’ theorem: Consider events A1, A2, …, Ak, and B (non-null). Now, the probability…

Q: Choose a new car or light truck at random and note its color. Here are the probabilities of the most…

A:

Q: Suppose that goats have one gene that codes for color, where A is brown and a is white. The goats…

A: Given Suppose that goats have one gene that codes for color, where A is brown and a is white. The…

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: Zane is ordering a sundae at a restaurant, and the server tells him that he can have up to five…

A:

Q: Given that he arrives on City D on the train he hoped to catch, what is the probability he does so…

A: Given : Professor has to travel from A-D The routes would be : A-B, B-C, C-D For the routes A-B,…

Q: At Dolon General Hospital, 20 percent of the patients have Medicare insurance (M) while 80 percent…

A: Given problem Given that   At Dolon General Hospital, 20 percent of the patients have Medicare…

Q: A small tool‑and‑die shop manufactures kneuter valves. A shipment of 15 valves to a Swedish…

A:

Q: A total of 42 percent of the voters in a certain city classify themselves as Independents, whereas…

A: Let I be the event representing the Independent voters. Let L be the event representing the Liberal…

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: Upon analyzing the cash register receipts of a large department store over an extended period of…

A: let x be the no of customer pay using credit card follow binomial distribution with(n=5 and p=0.3)…

Q: A neighborhood in Manila city has a vase inside their house, the probability that there is a vase…

A: given data A neighborhood in Manila city has a vase inside their house, the probability that there…

Q: A biomedical research company produces 45%45% of its insulin at a plant in Kansas City, and the…

A: Let us denote: K=Kansas City and J=Jefferson City, D= defective  Given that P(K)=45%=0.45,…

Q: The quality-control department of Starr Communications, the manufacturer of video-game cartridges,…

A: Let,A be the cartridges sold have video defectsB be the cartridges sold have audio defectsFrom the…

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.