Find a eulerization of the graph

Assignment Help Basic Statistics
Reference no: EM13246043

1. Find the number of ways to draw:

a. A 5-card hand consisting of spades only
b. A 4-card hand with 2 aces and two queens

2. There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select 3 puppies at random, what is the probability that they will all be the same gender?

3. To play a lottery game a player must choose 6 numbers between 1 and 49. The order is not important. Six numbers between 1 and 49 will turn out to be winning numbers for a particular game. If you play this lottery game, what is the probability of

a. Choosing the 6 winning numbers and winning the lottery?

b. Matching exactly 4 of the winning numbers?

4. There are 25 people in a room. What is the probability that at least two have the same birthday?

5. Consider a game that consists of rolling a regular die. You pay $10 to play the game and the $10 is not returned. If you roll a 1 or 2, you win nothing. If you roll a 3, 4, or 5, you win $8; if you roll a 6 you win $20. What is your expected value for this game?

6. The game of 5-spot Keno is similar to 4-spot Keno. 80 numbers are displayed on a board, and 20 of these numbers will be chosen to be the winning numbers. To play, the player selects 5 numbers on his or her playing card. Suppose a player pay $1 to play, and the $1 is not returned. The payoffs made by the Dunes Casino in Las Vegas for each of the possible outcomes are listed here:

Outcome

Payoff

0, 1, or 2 winning numbers

$0

3 winning numbers

$2

4 winning numbers

$20

5 winning numbers

$480

a. What is the expected value of this game?
b. What is the house edge for this game, expressed as a percentage of $1?

7. A man has blood type B. The man's mother was type AB and his father was type A. If his wife has blood type O and is expecting a baby, what is the probability the baby will have blood type
a. A?
b. B?
c. O?
d. AB?

8. For some types of plants, when plants with different colored flowers are crossbred, one color does not dominate over the other. Instead, the offspring have flowers that are a blend of the colors of the 2 parent plants. Mendel found that when he crossed a snapdragon with red flowers with a snapdragon with white flowers, the resulting offspring had pink flowers. In other words, when a red snapdragon of type RR was crossbred with a white one of type WW, the resulting offspring of type RW had pink flowers. Suppose a white snapdragon is crossbred with a pink snapdragon. What is the probability that a resulting offspring will be
a. Red?
b. White?
c. Pink?

9. Determine whether the graph below has a Eulerian circuit, and if it does, give one. If it does not, explain why not. If the graph does not have a Eulerian circuit, determine whether it has a Eulerian path, and if it does, give one. If it does not, explain why not.

1969_Determine the graph has a Eulerian circuit.png

10. Suppose a garbage truck must pick up garbage in a neighborhood with streets laid as in the graph. The workers pick up from both sides of the street at the same time, so ideally they would like to travel down each street as few times as possible. Find a eulerization of the graph that will allow the garbage truck to make a reasonably efficient Eulerian circuit through the neighborhood.

1920_Determine the graph has a Eulerian circuit1.png

11. 6 cards are dealt from a standard deck. What is the probability that the hand contains 3 cards of 1 rank, 2 cards of a 2nd rank, and 1 card of a 3rd rank?

Reference no: EM13246043

Questions Cloud

Find the total work : Two blocks are connected by a very light string passing over a massless and frictionless pulley, Find the total work done on 20.0-N block if ?s=0.500 and ?k=0.325 between the table and the 20.0-N block
Write a statistical null and alternate hypothesis : Write a statistical null and alternate hypothesis and draw a conclusion about the  relative safety of the three types of seats.
What is the dielectric constant kcircular : Two capacitors have the same plate separation, but one has square plates and the other has circular plates, at is the dielectric constant kcircular of the material between the circular plate
Find the effective power or wattage of the flash : The electronic flash attachment for a camera contains a capacitor for storing the energy used to produce the flash, Assuming that the flash lasts for 4.6 ms, find the effective power or "wattage" of the flash
Find a eulerization of the graph : Find a eulerization of the graph that will allow the garbage truck to make a reasonably efficient Eulerian circuit through the neighborhood.
What is the potential difference across the capacitor plates : The electric potential energy stored in the capacitor of a defibrillator is 58 J, What is the potential difference across the capacitor plates?
The constant or intercept term in a statistical demand study : The constant or intercept term in a statistical demand study represents the quantity demanded when all independent variables are equal to:
What is the magnitude of the potential difference v : A spark plug in an automobile engine consists of two metal conductors that are separated by a distance of 1.1 mm, What is the magnitude of the potential difference V between the conductors
What is the magnitude of the electric field in the membrane : The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. Because of these charges, What is the magnitude of the electric field in the membrane

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd