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: A quick quiz consists of 55 multiple choice problems, each of which has 44 answers, only one of…

A: We know : A quick quiz consists of 55 multiple choice problems, each of which has 44 answers, only…

Q: How many people out of 12 people do you expect to be taller than 6ft.?     Now if you keep on…

A: Let X be the number of people over 6 ft with probability p= 10% =0.1  1): number of people selected…

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: You wish to play three-number lottery with your favorite data 8,2, and 5. After a numbers drawn, the…

A:

Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: What is the probability of winning the first prize? What is the probability of winning the second…

A: You are at a Data Management Game Fair and decide to participate in a classmate’s letter game. To…

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

A: According to the provided data,

Q: Suppose that 60% of people have brown eyes and that 5% of people have red hair. We randomly select…

A: Given information: Let A be the event that  people have brown eyes. P(A)= 0.60B be the event that…

Q: Suppose you plan to take 3 courses next term. If you select them randomly from the listing of 12…

A: We have to find given probability.

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

A:

Q: Some of the managers at a company have an MBA degree. Of managers at the level of director or​…

A: Let A denote the persons having MBA and B denote the managers having a position at the level of…

Q: A couple plans to have four children. The father notes that the sample space for the number of girls…

A: Given information- We have given that, a couple plans for 4 children. The sample space for the…

Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: if you have a problem where a percentage of male customers and and female customers purchase goods…

A: How would you determine the probability of an individual purchasing an item.From the given…

Q: Ms Loom is writing a quiz that contains a multiple-choice question with five possible answers.…

A: Guven that, Ms Loom is writing a quiz that contains a multiple-choice question with five possible…

Q: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be…

A: From the provided information, A pair of dice is rolled. Total outcomes = 36 Number of outcomes…

Q: Your really mean math teacher, Mrs Snampook, gives you a pop quiz with 12 extremely difficult…

A: From the provided information, Number of questions (n) = 12 Probability of correct answer (p) = 1/4…

Q: don’t know yet which Biology Professor and Biology Laboratory Assistant you will get. You like…

A: Given,Total number of professor, n(P) = 10Total number of biology laboratory assistant, n(A) = 5The…

Q: Problem (3): In a certain college town, 25% of the students failed Mathematics, 15% failed…

A:

Q: A biology quiz consists of 10 multiple-choice questions. 6 must be answered correctly to receive a…

A:

Q: Suppose that you have 7 coins: 3 dimes, 3 quarters, and 1 nickels. Two coins are selected at random.…

A:

Q: Clue is a board game in which you must deduce three details surrounding a murder. In the original…

A: There are 6 people, 6 weapons and 4 rooms. At one point, the possibilities are reduced to 3 people,…

Q: A quick quiz consists of 5 multiple choice problems, each of which has 4 answers, only one of which…

A: We want to find the  (A) probability that all 5 are incorrect answer. (B) probability that all 5 are…

Q: Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her…

A:

Q: f you rolled a pair of dice, what is the probability that the first would be a 2 and the second…

A: Given that  A pair of dice is rolled. Total number of events (n) = 62 = 36 The events are as follows…

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.