**1. **Quality control. A tire manufacturer recently announced a recall because 2% of its tires are defective. If you just bought a new set of four tires from this manufacturer, what is the probability that at least one of your new tires is defective?

**2. **Pepsi promotion. For a sales promotion, the manufacturer places winning symbols under the caps of 10% of all Pepsi bottles. If you buy a six-pack of Pepsi, what is the probability that you win something?

**3. **Auto warranty. In developing their warranty policy, an automobile company estimates that over a 1-year period 17% of their new cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. If you buy a new car from them, what is the probability that your car will need:

a) No repairs?

b) No more than one repair?

c) Some repairs?

Calculate the maximum directivity of the antenna : The two antennas are adjusted so that the direction of maximum directivity coincides with the line connecting them. Calculate the maximum directivity of the antenna. |

Analysts of a global management consulting : 1. Consulting team, part 2. You are assigned to be part of a team of three analysts of a global management consulting company as described in Exercise 24. What is the probabil- ity that of your other two teammates: |

Find the current in antenna b when unit a transmits : Two units communicate with each other at 120 MHz and 10 W, in free space. Unit A uses a half-wavelength dipole antenna placed as shown in Figure. Unit B uses a 1/100 wavelength long dipole antenna and is 10 km from the transmitting antenna as show.. |

Large global management consulting company : Consulting team. You work for a large global management consulting company. Of the entire work force of ana- lysts, 55% have had no experience in the telecommunicationsindustry, 32% have had limited experience (less than 5 years), and the rest hav.. |

Quality control-pepsi promotion : A tire manufacturer recently announced a recall because 2% of its tires are defective. If you just bought a new set of four tires from this manufacturer, what is the probability that at least one of your new tires is defective? |

Find the array field radiation pattern : An array antenna is made of six iden tical elements, each a half-wavelength dipole, and is fed with identical currents, all in phase. Spacing of the elements is one-half wavelength. Assume the antennas are placed on the x axis, and are parallel t.. |

Comparing the results of the tested subjects : The electrodes will pick up on the activity the brain gives off in response to the image. Identifying the differences in perception by comparing the results of the tested subjects |

Problem regarding the store discounts : Many stores run "secret sales": Shoppers receive cards that determine how large a dis- count they get, but the percentage is revealed by scratching off that black stuff (what is that?) only after the purchase has been totaled at the cash register. |

Calculate the impedance of the antenna and its efficiency : A half-wavelength antenna is made of copper wire with conductivity a = 5.7 x 107 Sim. The antenna is 3-mm thick and 1.5-m long. Calculate the impedance of the antenna and its efficiency when radiating in free space. |

## Enrich and represent results of studyA description of how you believe statistics can enrich and represent the results of a study, and an explanation of how statistics can be used to misrepresent the results of a study. |

## What was decision rule to conduct the testDepartment decided to conduct the test at the 0.05 level of significance whether the modification actually increased the life of the AAA battery. What was their decision rule? |

## Irregular components in time seriesDefine irregular component in time series and explain the differences between other components as well as its effects. |

## Variation in the selling prices of the oceanfront homesAt the .01 significance level, can we conclude that there is more variation in the selling prices of the oceanfront homes? |

## Error in ordinary languageWhat type of error has possibly been committed? Explain the error in ordinary language. |

## Parametric and nonparametric data identificationA catering company is buying equipment in order to set up their own store. They have a choice of two ovens that they can purchase for the store. |

## Find best measure of central tendency for given dataowever, one of the children fails to solve the problem, so the researcher has an undetermined score. What is the best measure of central tendency for these data? |

## Is there a difference in sbp1 based on hiv status?Use the 5-step approach to hypothesis testing and the calculation of the 95% confidence intervals to answer the following research question: Did you observe a significant difference in Systolic Blood Pressure (SBP) over the course of the study? |

## Determine the marginal densities of coordinatesPoint is uniformly distributed in the unit sphere in three dimensions. a) Determine the marginal densities of the x, y, and z coordinates. |

## Probability graduates find jobs in a year of graduatingA year after graduation. Find the probability that 8 randomly selected graduates all find jobs in their chosen field within a year of graduating. |

## Assume that any single labrotory test in a 3 test batteryassume that any single labrotory test in a 3 test battery obtained from healthy volunteers has a 5 chance of falling |

## Lester hollar is vice president for human resources for alester hollar is vice president for human resources for a large manufacturing company. in recent years he has noticed |

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