Suppose you are answering a multiple choice question with 5 choices. The probability that you know the answer is 0.9. If you don’t know the answer, you choose one at random. Draw a properly labelled tree diagram for this situation, then calculate the following probabilities, showing all of your work. Enter your final answers below, rounded to four decimal places. What is the probability that you answer the question correctly?   What is the probability that you knew the answer to the question, given that you answered it correctly?

Q: Suppose you have decided to play the lottery in a state where you choose 6 numbers from 1 to 36. If…

A: N = Universe = Number of ways to select 6 numbers from 1 to 36 M = Successful cases = Number of…

Q: Solve. In a survey of American women who were asked to name their favorite color, 12% said blue, 15%…

A: According to the given information, we haveA survey of American women who were asked to name their…

Q: Determine whether the events are mutually Exclusive or not mutually exclusive. Write ME if it is…

A: Here Given  Total Number of puppies=8 No of white females=1

Q: Use the information below to answer questions 15-18. A research is conducted to determine disease…

A: Let event A represent the ability to detect the disease and event B represents the machine is…

Q: A deck consists of playing cards that can have one of 12 suits and one of 6 ranks. A hand is a set…

A: It is required to find the number of possible four of a kind hands from the deck, and the…

Q: c. You play card game and select two cards from 52 - card deck without replacement. Probability that…

A: The information provided in the question are as follows :-Two cards are to be selected from a deck…

Q: Determine the probability of the following events when you toss a pair of fair dice. a. The sum is…

A: The sample space for the event is given by…

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: What is the standard error of the sample proportion who are​concerned?   b. What is the…

A: Here given that An employee survey conducted by a company two years ago found that 53​% of its…

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, Probability, p = 38% = 0.38 Sample size = 2

Q: The probability that a student owns a car is 0.7. The probability that a student owns a computer is…

A: Given: Probability of student owns a car, P(A)=0.7 Probability of student owns a computer, P(B)=0.67…

Q: Suppose you are throwing a pair of fair dice. Each die has 6 sides numbered 1 through 6. If you…

A: The study is about throwing a pair of fair dice. The multiple of the value of each die after…

Q: Male Female Walk 16 24 Bike 19 11 Car 21 22 The table shown gives the results of a poll taken on…

A:

Q: Of the cartons produced by a​ company, 9​%have a​ puncture, 3​% have a smashed​ corner, and 0.5​%…

A: Given : Let A : Cartons has a puncture P(A) = 9% = 0.09 Let B : Cartons has a smashed corner P(B) =…

Q: s on the table at the moment. You will win $1 if you randomly draw a black card, but you will lose…

A: Black Cards 20 Red Cards 10   Black Cards win $1  20 Red Cards lose $2 10

Q: The Clippers basketball team are predicted to win 90% of their games during the playoffs.  If this…

A: From the given information, n=3 p=0.90 Using binomial distribution, the required probabilities will…

Q: Current estimates suggest that 70% of the home-based computers in a foreign country have access to…

A:

Q: Suppose you commit a crime. The way the judge is going to set your sentence is by pulling a number…

A: There are ten 1-year sentences, five 2-year sentences and one 20-year sentences in the hat. There…

Q: Part a through d please. Thank you!

A: To solve these problems, we can use the binomial probability formula. The binomial probability of…

Q: A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement.…

A: Probability distribution tree is shown below:   (a) Determine the probability that both marbles are…

Q: For a story she is writing in her high school newspaper, Grace surveys moviegoers selected at random…

A: There are two categorical variables which are rating and age. Rating has 2 types which are thumbs up…

Q: A box contains 8 red balls, 3 blue balls and 4 white balls. A ball is drawn at random, then placed…

A:

Q: Ruth, the owner of a mail-order business, estimates that the probability that a household receiving…

A:

Q: . Determine whether the following is a probability model.

A: Given: Outcome Probability Erica 0.3 Joanne 0.2 Laura 0.1 Donna 0.5 Angela -0.1

Q: The communication link uses five different chips. The probability of error-free signal transmission…

A: Given Information: Consider the given communications links that use five different chips. The…

Q: You choose a letter at random from the alphabet. What is the probability that it will be the letter…

A: Given : we have given letter n, g, l, a, s  No. of letters = 5 No. of  alphabet = 26 One letter is…

Q: 1. What is the probability that all the numbers are different? 2. What is the probability that at…

A: Here given There is 65 balls and each ball is written with different number One balls is picked and…

Q: Three piggy banks each contain 20 coins: • Piggy Bank # 1 contains 12 gold coins, 5 silver coins and…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

Q: Use the following table to find the probability.   Male Female Write with left hand 55 38 Do not…

A: 1. Consider the following table for necessary calculations.   Male Female Total Write…

Q: Please help with the probability of a child having a blue eye color. I'm not sure if I have it right

A: Given Brown/Blue genotype The possible outcomes are 4 =…

Q: 4. Approximately 9% of men have a type of color blindness that prevents them from distinguishing…

A: Given that p = 0.09 , Find the probability that all of them will have this type of redgreen color…

Q: Neil has a collection of 8 dice, 5 of which have four sides. If Neil randomly rolls 4 dice, what is…

A:

Q: Suppose that 62% of people own dogs. If you pick two people at random, what is the probability that…

A: Number of trials n=2 Success of probability p=0.62 X~bin(n,p) nCx=n!/x!(n-x)!

Q: In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: Political scientists want to determine the probability of exactly 3 out of the next 5 voters they…

A:

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.