A class is taking a multiple choice exam. There are 55 questions and 44 possible answers for each question where exactly one answer is correct. How many different ways are there to answer all the questions on the exam?    Use the information above and below to determine the probabilities. Enter your answers as percents rounded to four decimal places. A student who didn't study randomly guessed on each question. a) What is the probability the student got all of the answers correct?     b) What is the probability the student got all of the answers wrong?

Q: Probability Project List the sample space for tossing four coins below. Find the probability of…

A: Sample space of tossing 4 coins is S = {HHHH. THHH, HTHH, HHTH, HHHT, TTHH, HTTH, HHTT, HTHT, THTH,…

Q: 5. Multiple choice Exam A student takes a 20-question exam, each question has 4 multiple choice and…

A:

Q: Find the probability and interpret the results. If​ convenient, use technology to find the…

A:

Q: Four persons are sitting at a rectangular table. What is the probability that the two older people…

A: From the given information we find the probability.

Q: Understanding the Application of Probability to Genetics A couple has 6 children. a.) What is the…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: Consider a fair What is the probability of a six given that you already observed a six in the roll…

A: The probability of obtaining a six on a fair die is 1/6  as obtaining any number of a die is equally…

Q: Roulette: In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, 3, 4, 36. The…

A: Given that - Roulette: In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,…

Q: you randomly select a letter the phrase “ Mario kart on the wii is fun,” what is the probability…

A: We have to find

Q: Pick a card from a deck of cards. What is the probability of picking either a Jack, Queen, King or a…

A:

Q: Pick a card from a deck of cards. What is the probability of picking either a Jack, Queen, King or a…

A: In a deck of cards: Total cards = 52 Jack = 4 Queen = 4 King =4 Diamond = 13 (Including a Jack,…

Q: A fair die is cast. What is the probability that: Prompts the result is four the result is at most…

A:

Q: Language Spoken at Home by the U.S. Population In 2014 the percentage of the U.S. population that…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: In this case,…

Q: Find the probability of an event and sample space #1)You toss twice coins. What is the probability…

A: The solution is in step 2

Q: Counting techniques: Six people were asked to randomly select one food item from a list of 10 foods.…

A: This question can be solved by the concept of selection. 1st person will have 10 food items to…

Q: Exacta In a horse race, an exacta bet is won by correctly selecting the horses that finish first and…

A: Permutations rule:There are n different items and r number of selections. If the selections are made…

Q: Probability Skyler has 12 marbles as shown in the diagram below. Each marble is either blue or…

A: From the provided information, Total marbles = 12 Total blue marbles = 8 Odd numbered marbles = 8…

Q: w do you solve a question containing probabilit

A: The probability could be defined as a number that always fall between 0 and 1 where 0 implies the…

Q: Seven cards are dealt from a standard deck. What is the probability that five are face cards? b)…

A: There are 52 cards in  a deck. Out of these 52 cards 12 are face cards ( 3 suits of each…

Q: sing permuations or combinations: Six people were asked to randomly select one food item from a…

A: topic- permutation and combination

Q: ZIP Code If you randomly select five digits, each between 0 and 9, with repetition allowed, what is…

A:

Q: Roll a pair of dice 100 times. Keep a record of the sums of the dice. Find the theoretical…

A: An experiment is an observation of any physical occurrence. The sample space of an experiment is the…

Q: 3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact…

A: There are 14% children are naughty. Hence probability of getting a naughty child = 0.14 a. The…

Q: humber of spots showing is five. Follow that method to give a probability model for the total number…

A: Here use  X = sum of spot on dice

Q: 5. Multiple-Choice Exam A student takes a 30-question, multiple-choice exam with five choices for…

A: Given: Total number of questions are n=30. The variable X represents the student guesses on each…

Q: Show all the possible outcomes (sample space) when you roll/toss a die and a coin together. What is…

A: We first find the sample space

Q: Fundamental Counting Principle and Probability Paul is making a passcode. The requirements are: 33…

A: we have  3 digits from 0 to 9 : 10 options for each digits2 letters from A to M (13 letter options)…

Q: Two coin are tossed. What is the probability of tossing “two heads or two tails”?

A:

Q: 3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact…

A: Note: As per the guidelines, solution to 3 subparts have been given. Given information: Probability…

Q: Facebook: Eighty percent of the students at a particular large university have logged on to Facebook…

A: p = 0.80 n = 95

Q: What is the probability that the payer will make exactly six free throws? b).What is the…

A:

Q: A class is taking a multiple choice exam. There are 55 questions and 44 possible answers for each…

A: Solution:Given number of question n=5prob. of each correct answer p=14let x be the no. of correct…

Q: Find the odds in favor of obtaining the following outcome.

A: Here a consonant when 1 letter is chosen at random from among the 26 letters of the English alphabet

Q: Winning the jackpot in a particular lottery requires that you select the correct five numbers…

A:

Q: 5. Multiple choice Exam A student takes a 20-question exam, each question has 3 multiple choices and…

A: There are 20 multiple choice questions. That is, p = 1/3 Denote the random variable X as the number…

Q: Politics: The County Clerk in Essex, New Jersey, was accused of cheating by not using randomness in…

A: The answer is not significant. The value is 1.86446E–11 is equal to 0.

Q: An antique Roman coin is biased towards tails due to a heavy decoration stamped on the back. The…

A: We have to find probability of getting one head and one tail

Q: Find the indicated probability. Find the probability that the sum is no more than 7 when two fair…

A: When two dice are rolled then the possible out comes…

Q: 23) One card is selected from a deck of cards. Find the probability of selecting a black card or a…

A: Let B represents Black card and J represents Jack.  The probability of selecting a black Card or…

Q: Use a probability tree to find the probabilities of the indicated outcomes. A bag contains 9 white…

A:

Q: Six questions are in a multiple-choice quiz. Each question has 5 possible answers. A student guesses…

A:

Q: In the United States, voters who are neither Democrat nor Republican are called Independent. It is…

A: Given : n( total no. of people surveyed)=36 P(probability of independent voters)=12%=0.12…

Q: Use a probability tree to find the probabilities of the indicated outcomes. An urn contains 3 red, 4…

A: (a) The probability that both balls are white is obtained below: When the two objects are selected…

Q: In the United States, voters who are neither Democrat nor Republican are called Independent. It is…

A: Given,n=38p=0.11q=1-0.11=0.89A random variable X~Binomial(n=38  ,  p=0.11)P(X=x)=Cx0.11x380.8938-x…

Q: 32. A field trip in Bukidnon was organized by an institution as part of their goals to extend…

A: The data is given by   Men Women Boys Girls Total Rescued 20 10 7 16 53 Missing 15 13 10 8 46…

Q: Use the counting techniques from the last chapter. A bag contains three red marbles, three green…

A: It is an important part of statistics. It is widely used.

Q: In the United States, voters who are neither Democrat nor Republican are called Independent. It is…

A: Given,n=33p=0.09Let X=no.of the people are independent X~Binomial(n=33 , p=0.09)P(X=x)=33x 0.09x…

Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per…

A: The table is given as below Number of hits Frequency 0 10 1 19 2 9 3 6 4 2

Q: Roll a Die a. Suppose you roll a single die and count the number of dots on top. List the sample…

A: It is given that a single die is rolled

Q: Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and…

A: The tree diagram is as follows:

Q: Yahtzee. In the game of Yahtzee, five balanced dice are rolled. a. What is the probability of…

A: a)The probability of the event can be obtained 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.