**1. **From a town of 25 Republicans and 25 Democrats, pollsters A and B each sampled ten residents at random without replacement. Find the probability that the two polls contained exactly the same number of Republicans.

*2. **A; B; C *are three events. If *A *is independent of *B *given *C *and if *C *is independent of *B*, are *A *and *B*independent events? Prove or give a counterex- ample.

**3. **A library patron has decided to try five libraries for a particular book. Each library has a *50*% chance of having the book, and if a library has the book, there is a *20*% chance that it will be checked out. Find the probability that the patron can find the book. State your assumptions.

Find the loss of o2 by diffusion per metre length of pipe : Oxygen at 25?C and pressure of 2 bar is flowing through a rubber pipe of inside diameter 25 mm and wall thickness 2.5 mm. The diffusivity of O2 through rubber is 0.21 x 10-9 m2/s and the solubility of O2 in rubber is 3.12x10-3 kg-mole/m^-3 bar . .. |

Find the probability that in each odd-numbered : An urn has five white and five green balls. Five balls are drawn at random without replacement. Find the probability that in each odd-numbered draw a green ball is drawn. |

What does the given story tell us about soninke culture : What does this story tell us about Soninke culture? What values does it prescribe? What can we learn about how the Soninke view themselves, their history, and cultural development? |

Calculate the diffusion coefficient of water in air : An open pan 210 mm in diameter and 75 mm deep contains water at 25?C and is exposed to dry atmospheric air. Calculate the diffusion coefficient of water in air. Take the rate of diffusion of water vapour is 8.52 x 10-4 kg/h. |

Same number of republicans : From a town of 25 Republicans and 25 Democrats, pollsters A and B each sampled ten residents at random without replacement. Find the probability that the two polls contained exactly the same number of Republicans. |

Calculate the evaporation rate of water in grams per hour : An open pan of 150 mm diameter and 75 mm deep contains water at 25 C and is exposed to atmospheric air at 25 C and 50% R.H. Calculate the evaporation rate of water in grams per hour. |

Compute the probability that the sum of the two rolls : 1. A fair die is rolled 12 times. Given that there are exactly two ones, what is the probability that there are exactly two sixes? 2. A fair die is rolled twice. Compute the probability that the sum of the two rolls is 3, 5, 7, 9, 11, respectively,.. |

Find the frequencies of torsional vibrations : The moment of inertia of three rotors A,B and C are respectively 0.3, 0.6 and 0.18 kg-m2 . The distance between A and B is 1.5 m and B and C is 1 m. The shaft is 70 mm in diameter and the modulus of rigidity for the shaft material is 84 x 109 N/m.. |

How would you ask the actors to manage the emotions : How would you ask the actors to manage the emotions? Would you have them control the emotions and the controversy, or would you ask them to "let it all hang out"? Why? |

## Statistics-probability assignmentMATH1550H: 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 numberMATH1550H: 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 kMATH1550H: 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 probabilityMATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa? |

## Binomial distributionsMATH1550H: 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 timeCaselet on McDonald’s vs. Burger King - Waiting time |

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

## Sampling variability and standard errorProblems on Sampling Variability and Standard Error and Confidence Intervals |

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

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