Example 3: Suppose your final exam in a statistics course is composed of 2 portions, one of which consists entirely of multiple choice questions. There are 8 questions in total and each question has 4 possible answers with only 1 correct answer out of the 4. Suppose that you were to randomly guess on all 8 questions. Consider this scenario as you answer the following questions. a) How many questions would you expect to get correct? b) What is the probability that you get exactly 2 questions correct? c) What is the probability that you get at least 3 questions correct?

Q: Suppose that 30% of boys opted for mathematics and 50% of girls opted for mathematics. What is the…

A: Given that 30% of the boys opted for mathematics. And 50% of the girls opted for mathematics. Let us…

Q: if you roll a pair of fair dice, what is the probability of getting each of the following 7 11 2 or…

A: The set of all possible outcomes of a probability experiment is called sample space of the…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Note : - As per our policy we can answer only three sub-parts, please make a new requests for other…

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: a. The probability that 6 men and 1 woman are selected is 0.4217 and it is obtained below: From the…

Q: A psychology class consists of 28 males and 52 females. if the professor selectes names from the…

A: (a) Obtain the probability that the first student selected will be a female. The probability that…

Q: Example 10: A survey from Teenage Research Unlimited (Northbrook, Illinois) found that 30% of…

A: Given: n=5p=30%=0.3q=1-p=1-0.3=0.7

Q: . What is the probability that a five-card poker hand contains the two of diamonds, the three of…

A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

Q: 7. A student is taking a multiple-choice exam in which each question has four possible answers. She…

A: Note: Hi! Thank you for the question. As you have posted multiple independent questions, as per our…

Q: A multiple choice exam has 10 questions, each with five possible answers, only one of which is…

A: Let us use the binomial expression, the formula is ∑k=0nCn,kpk~pn-k Here n=10…

Q: a) There are 20 A brand computers and 30 B brand computers in the warehouse of a factory. From A…

A:

Q: In a science class of 35 students, 15 are boys and 20 are girls. On a unit test, 5 boys and 8 girls…

A: We will use probability formula to find solution to the problem .

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

Q: Example 5: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If…

A: Answer: From the given data,

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A:

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors…

A: It is given that in a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 4. Suppose that the Oxnard College softball team has a 50% probability of winning every game they…

A: Given that, Probability of winning every game = 50% = 0.50Sample size , n =3

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Presumably, each student writing this examination is doing so independently of all other students.…

A: Given: P(Tom answers correctly)=0.8 P(Dick answers correctly)=0.7 P(Harry answers correctly)=0.6

Q: In the collaboration problem about the mathematician that carries chalk in her pockets, suppose her…

A: Since the number of chalks in each pocket are different, we will break the problem in two cases. One…

Q: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

A:

Q: A test consists of ten multiple choice questions each with five possible answers, of which only one…

A: Total number of questions=10 number of possible answers=5 Probability of guessing correct answer for…

Q: At an animal shelter, 60% of all animals are dogs and the remainder are cats. 30% of the dogs are…

A: Given ,  P( Dogs ) = 0.6 P( Cats ) = 1 - 0.6 = 0.4  P( female | Dogs ) =  0.3 P( female | Cats ) =…

Q: A psychology class consists pf 28 males and 52 females. If the professor selects names from the…

A: Number of males in the class = 28 Number of females in the class = 52 Total number of students =…

Q: Among a group of 28 stocks, suppose that 14 will perform above average and the other 14 will perform…

A: Given that, Above average =14 Below average  =14 Total = 28 P(all 9 above average ) = ?

Q: 2) A committee of 8 is to be selected from 10 Biologists, 12 Chemists, and 14 Mathematicians. What…

A:

Q: 1. What is the probability of meeting a student who is full-time or a finance major? 2. Is this an…

A: The Business club at a local club is composed of 20 part-time accounting majors, 15 part-time…

Q: If two fair dice are rolled, find the probabilities of the following results A sum of 6, given that…

A: Given: Two fair dice are rolled. Possible outcomes from a roll of dice are: {1, 2, 3, 4, 5, 6}.…

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: What is the probability that Namjoon will get a black sock and a purple sock?

A: here use basic of probability  and combination   here in all problem two individual socks are…

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: From the provided information, Total cards in a standard deck = 52 There are 4 suits and each suit…

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: Total number of cards = 52 Number of black cards = 13+13 = 26 Number of '3' cards = 4 Number of…

Q: Out of 800 farnilies with 5 children each, how many would you expect to have (i) 3 boys, (ii) 5…

A:

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Given: Box A Number of Black marbles = 7 Number of white marbles = 4 Box B Number of Black marbles =…

Q: At a college, 20% of the students take Math, 30% take History, and 5% take both Math and History. If…

A: Let us define some events A : a student takes Math. B : a student takes History. Given that P(A) =…

Q: At a college, 60% of the students are women. If we select 7 students at random, what is the…

A:

Q: A person is taking a 5​-question ​multiple-choice test for which each question has three answer​…

A: P(Correct ) = 13

Q: Suppose that 40% of boys opted for mathematics and 60% of girls opted for mathematics. What is the…

A: Probability is chance of occurrence of an event ,i.e probability is ratio of number of favourable…

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

A:

Q: Two boxes A and B, box A contains 9 cards numbered 1-9 and box B contains 5 cards numbered 5 to 1. A…

A: There are 2 boxes. Total cards: in box A.  1,2,3,4,5,6,7,8,9 Total even cards in box A:  2,4,6,8. (4…

Q: 4) An experiment has three outcomes, I, II, and III. If outcome I is twice as likely as outcome II,…

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: (d) If five balls are selected without replacement. What is the probability that we get three red…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: n a test consisting of ten questions and each question consisting of only five answers, one of them…

A: The number of question in the test are 10. The number of options for one question is 5.

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: A group of 5 football fans contains 3 Chiefs fans and 2 Niners fans. Three fans are chosen at random…

A: From the given information, there are 5 football fans. In 5 football fans, 3 were chiefs fans and 2…

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.