Question

In: Statistics and Probability

Assume that you want to play a game called “who is the murderer?” with a total...

Assume that you want to play a game called “who is the murderer?” with a total of seven suspects including Angelina, Boris, Chris, Dillon, Eve, Frank, and Gunther. Among them, Angelina and Eve are girls and all the other five suspects are boys. According to the polygraph and some other technology tools, you are sure about the following clues. • The number of murders is either one or two; • All the murderer(s) must be among them; • If Angelina is the murderer, the number of murderers is two; • If Chris is a murderer, so is Frank; • At least one of the girls is innocent; • If Frank is a murderer, so is Eve; • If both Gunther and Boris are innocent, Angelina is a murderer; • If Dillon is innocent, so is Gunther; • If both Chris and Dillon are innocent, so is Boris; • Angelina and Dillon cannot be both murderers; • If Dillon is a murderer, either Boris is a murderer or Gunther is innocent; • If Eve is murderer, either Chris is a murderer or Boris is innocent. Now, who did it? Why?

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The probability of winning on an arcade game is 0.678. If you play the arcade game...
The probability of winning on an arcade game is 0.678. If you play the arcade game 24 times, what is the probability of winning no more than 12 times? (Round your answer to 3 decimal places, if necessary.)
Let’s suppose that you are going to play the lottery game Powerball. To play, you pick...
Let’s suppose that you are going to play the lottery game Powerball. To play, you pick five different numbers from 1 through 69 plus one Powerball number from 1 through 26. Which is a more likely combination of winning numbers: 1, 2, 3, 4, 5, 6 or 7, 21, 25, 32, 40, 56? Explain your answer. For a $500,000,000 jackpot, which of the two combinations would likely be more lucrative for you if it were to win? In other words,...
You pay $1 to play a game. The game consists of rolling a pair of dice....
You pay $1 to play a game. The game consists of rolling a pair of dice. If you observe a sum of 7 or 11 you receive $4. If not, you receive nothing. Compute the expected value and standard deviation for this game?
What are the chances that a person who is murdered actually knew the murderer? The answer...
What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 70% of people who are murdered actually knew the person who committed the murder.† Suppose that a detective file in New Orleans has 60 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.) (c) fewer than 30 victims did...
What are the chances that a person who is murdered actually knew the murderer? The answer...
What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 68% of people who are murdered actually knew the person who committed the murder. Suppose that a detective file in New Orleans has 58 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.) (a) at least 35 of the...
12) You have a 14% chance of winning when you play a certain game. You play...
12) You have a 14% chance of winning when you play a certain game. You play the game 5 times. Let W = the number of times you win. a) Find P( W = 2 ). b) Find the mean for W. c) Find the standard deviation for W. 13) Let X= N( 5,2 ). Find x given the P( X < x ) = .984
Let’s play a game! It costs you only $10 to play! Roll two dice. If you...
Let’s play a game! It costs you only $10 to play! Roll two dice. If you roll snake eyes (two 1’s), then I’ll give you $500. If you roll anything else, then I’ll give you nothing. Using expected value, decide if you should play this game!
PYTHON: Write the code to play a card game called Battle. Two players each have a...
PYTHON: Write the code to play a card game called Battle. Two players each have a card deck consisting of the following cards: two, three, four, … jack, queen, king, ace, in increasing order. One card deck could be represented by a list such as: cardsPlayer1 = ["two", "three", "four"..."jack", "queen", "king", "ace"] Both players have a card randomly selected. When a card is selected, remove it from the player’s deck. The player that plays the higher of the two...
USING JAVA... We want to play a simple card game with 2 players option. The deck...
USING JAVA... We want to play a simple card game with 2 players option. The deck of cards contains 52 cards with 13 cards each in the 4 suits: clubs, diamonds, hearts and spades. Each player begins with 26 cards and one of the players starts the game by putting their first card on the table. Players take turns by putting the top card from their hand, until the current card placed on the table matches the suit of the...
A gambling game called "Rollo" pays 3 to 1, and you have a 1 in 6 chance of winning on any given play.
A gambling game called "Rollo" pays 3 to 1, and you have a 1 in 6 chance of winning on any given play. Find the probability that you lose a total of $20 or more if you bet one dollar on each of 200 plays of Rollo. Give your answer in percent, without the percent sign.Describe the details of your calculation in the previous problem. Describe the box model (how many tickets in the box model, what numbers are on...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT