1. You decide to roll two (2) fair six-sided dice. a. What is the probability that the results of each of the two die rolls differ by 2? (For example, 4 and 6 dier by 2) b. What is the probability that the results of each of the two die rolls differ by 2, given that one of the die rolls was a 3? c. Are the events "the results of each of the two die rolls differ by 2" and "one of the die rolls was a 3" independent? Show explicitly why or why not.   NEED HELP WITH C

Q: A paper bag contains three dice.: Dice X’s faces are numbered 1, 2, 3, 4, 5, 6; Dice Y’s faces are…

A: Number of dice (X, Y,Z) = 3 Numbers on dice X = 1, 2, 3, 4, 5, 6 Numbers on dice Y = 2, 2, 4, 6, 6,…

Q: 18. The following payoff table shows profits for two decision alternatives under three different…

A:

Q: a. At LUG, 30% of students are majoring in Business. i. In a sample of 10 LUG students, what is the…

A: Given that,   Probability, p= 0.30   (i). If sample size is, n= 10  Then X~Binomial(10,0.30) p.m.f…

Q: .What is the probability of drawing an ace OR red king from a standard 52-card deck?

A:

Q: 1.Suppose you win blackjack 47% of the time. What is the probability that you lose 3 games in a row…

A:

Q: In a simulataneous throw of pair of dice the probability of a total getting total more than 7 is

A:

Q: Your statistics class has 26 students in it (14 girls and 12 boys). Your teacher uses a calculator…

A: A) There are 26 students in a statistics class out of which 14 girls and 12 boys. The probability of…

Q: What is the probability of getting a jack or black card from randomly picking a card from a Deck?

A: Number of black cards = 26 Number of Jack cards = 4 Number of black and jack cards = 2 Total number…

Q: 4. Describe a descrete random variable. What is a distribution law of a descrete random variable ?…

A: A random variable is defined as a set that has possible values or the outcomes of a chance of…

Q: by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.

A: Given : mean , μ= λ = 6

Q: . A couple is ordering a four-course dinner at a restaurant. They may choose from 4 amuse- bouche, 6…

A: A four-course dinner has following options to choose from: 4 Amuse bouchée 6 starters 10 entrees 5…

Q: 1. in a group of 100 moviegoers, 40 people like cats, 20 people like dogs, and 8 people like both…

A: Hello. Since your question has 2 parts, we will solve first question for you. If you want remaining…

Q: A coin purse contains: - 9 quarters - 5 dimes - 7 pennies - 4 nickels A coin is drawn from the coin…

A: Given No of quarters = 9 No of dimes = 5 No of pennies = 7 No of nickels = 4 A coin is drawn from…

Q: 0.38 of houses in the suburbs have dogs, 0.38 have cats, and 0.54 have dogs or cats. What is the…

A: Let A denote the suburbs have dogs Let B denote the suburbs have cats Let A or B denote the suburbs…

Q: 10. Brenda and Michael go to a coffee shop during their lunch break and toss a coin to see who will…

A:

Q: Suppose we flip an unfair (or weighted) coin 7 times independently, where P(Heads) = 0.6 and…

A: The coin is tossed for 7 times. X : number of heads occurs  So, X ~ Binomial(n = 7, p=0.6) PMF of X…

Q: We roll four 6-sided dice. What are the probabilities of each of the following outcomes? A. All four…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: You and a friend have made up a game in which you draw two cards from a standard 52-card deck. If…

A: draw acard from 52 card deck. 12 face cards and 40 non face cards. select two cardsat random

Q: 2. Two players, A and B per se, play the following game. Each person tosses a fair die. If it lands…

A: The player A will win at faces of die show 1, 2, 3, and 4. The player B will win at faces of die…

Q: As of January 3, 2019, the US House of Representatives had the following demographics: U.S. House of…

A: Given that,     Political Party       Republican (B) Democrat (B') Total Gender Male (A) 183…

Q: 4. Lisa is deciding on whether she should take English class in the morning or afternoon, when her…

A: The table above shows exactly which classes are taken by the teachers. Total number of classes…

Q: . What is the probability of drawing a queen OR black king from a standard 52-card deck?

A: To find: What is the probability of drawing a queen OR black king from a standard 52-card deck?

Q: what is the probability of drawing a kind or a queen from a shuffled deck of cards?

A: 1 card is drawn, what is the probability that, 1 card is KING or 1 card is QUEEN. Total number of…

Q: Suppose that you have five, 6-sided fair dice. What is the probability that: a. You get all…

A: The probability shows how likely an event occurs.

Q: What is the probability of drawing a kind from each three separate deck of cards?

A: It is needed to find the probability of drawing a king from each three separate decks of cards.

Q: Suppose two fair dice are thrown. a. What is the probability the sum of the dice is at most 4? b.…

A: Let X be the sum of the numbers that appear on the face of the two dice. The sample space of this…

Q: What is the probability of not ever rolling a “seven” (when the spots of the two dice sum to 7) in…

A:

Q: Draw a card. There are 52 cards in a deck of standard playing cards. Event A: You draw the King of…

A:

Q: 2. In rolling 2 dice, find the probability of having: a. Sum of 7 b. At least one die shows 4 c.…

A: Given2 die are rolled

Q: Three six-sided dice are rolled together. a. What is the probability that all three numbers will be…

A: There are 6 outcomes for the event rolling of a one-sided die. The definition of probability is the…

Q: 1. The experimental probability that a customer at a restaurant qualified for a senior discount was…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 2. There are two multiple-choice questions on a quiz, one with four answer choices and one with six…

A: Step 1: Define the events.E1 = choosing the correct option for the first question.E2 = choosing the…

Q: Averie and Oscar both have freckles (a dominant trait). Their first child, Pat, does not have…

A: Given, Averie and Oscar both have freckles (a dominant trait). Their first child, Pat, does not have…

Q: wo fair dice are rolled. Event A = {the sum on the two dice is more than seven} Event B = {the two…

A:

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

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.