A game is played by picking a card from a standard deck of cards and is returned for the nextgame. The player receives P1040 if an ace card is picked, P520 if a face card is picked, and payP260 if the card picked is any of the other cards in the deck.If X is the random variable for the gain in this game, which of the following conclusions iscorrect?O The game is fair since the expected value of the gain is 1300O The game is not fair since the expected value of the gain is 20.O The game is fair since the expected value of the gain is 20.The game is not fair since the expected value of the gain is 1300

Introduction: Denote the random variable, X as the amount of gain in a random play of the game.…

Answered: A game is played by picking a card from…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is (a) What is the value of p? • (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?
A game is played with two fair 6-sided dice. The player rolls the dice. If the sum of the dice is 7 or less, the player loses $4. If the sum of the dice is 8 or 9, the player breaks-even. If the sum of the dice is 10 or greater, the player wins $10. The random variable X is a player’s gain (in $) from playing this game. a) Find P(X = 0). Give your answer as a fraction in lowest terms. P(X = 0) = Blank 1. Fill in the blank, read surrounding text. b) Find E(X). Give your final answer as a decimal. If rounding, give to 2 decimal places. E(X) = Blank 2. Fill in the blank, read surrounding text. dollars c) Find the standard deviation s for the random variable X. Give the final answer as a decimal rounded to 2 decimal places. s = Blank 3. Fill in the blank, read surrounding text. dollars
A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
In a sack there are 18 marbles:7 marbles are red and the rest are black. What is the probability of drawing 3 red marbles in a row (without returning the marbles after each draw)? a. 0.036 b. 0.059 c. 0.389 d. 0.043
In a game of widget you are dealt a four card hand. You win the game if exactly three of the cards are the same suit. Let X be the discrete random variable representing the number of times you win out of the next three games. EXPRESSIONS ONLY!
In a bolt factory, machines A, B, C manufacture 30%, 30%, 40% of the total output respectively. From their outputs, 4, 5, 3 per cents are defective bolt. A bolts is drawn at random and found to be defective. What are the probabilities that it was manufactured by machines A, B and C?
Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.
If you have 4 red cards and 20 blue cards in your right hand, but your left hand is empty. Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. The conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue is: Select one: a. 0.3671 b. 0.4632 c. 0.0644 d. 0.4895 e. 0.3974

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS