- Description

**4.1.4**

**A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in table #4.1.4 (“Car preferences,” 2013). **

**Table #4.1.4: Reason for Choosing a Car**

Safety | Reliability | Cost | Performance | Comfort | Looks |

84 | 62 | 46 | 34 | 47 | 27 |

**Find the probability a person chooses a car for each of the given reasons.**

**4.2.2**

**Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a time period. Table #4.2.2 gives the defect and the number of defects.**

**Table #4.2.2: Number of Defective Lenses**

Defect type | Number of defects |

Scratch | 5865 |

Right shaped – small | 4613 |

Flaked | 1992 |

Wrong axis | 1838 |

Chamfer wrong | 1596 |

Crazing, cracks | 1546 |

Wrong shape | 1485 |

Wrong PD | 1398 |

Spots and bubbles | 1371 |

Wrong height | 1130 |

Right shape – big | 1105 |

Lost in lab | 976 |

Spots/bubble – intern | 976 |

Total: | 25891 |

**Find the probability of picking a lens that is scratched or flaked.****Find the probability of picking a lens that is the wrong PD or was lost in lab****Find the probability of picking a lens that is not scratched****Find the probability of picking a lens that is not the wrong shape.**

**4.2.8**

**In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.**

**Find the probability of winning if you pick the number 7 and it comes up on the wheel.****Find the odds against winning if you pick the number 7**.**The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet?**

**4.4.6** **Find – 10 P8 **

**Numerator n!:****Denominator:****Premutation value:**

**4.4.12 How many ways can you choose seven people from a group of twenty?**

**5.1.2 ****Suppose you have an experiment where you flip a coin three times. You then count the number of heads.**

**State the random variable.****Write the probability distribution for the number of heads.****Draw a histogram for the number of heads.****Find the mean number of heads.****Find the variance for the number of heads.****Find the standard deviation for the number of heads****Find the probability of having two or more number of heads.****Is it unusual to flip two heads**

**5.1.4**

**An LG Dishwasher, which costs $800, has a 20% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. What is the expected value of the extended warranty assuming it is replaced in the first 2 years?**

**5.2.4**

**Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using technology.**

**5.2.10**

**The proportion of brown M&M’s in a milk chocolate packet is approximately 14% (Madison, 2013). Suppose a package of M&M’s typically contains 52 M&M’s.**

**5.3.4**

**Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.**

**a.) State the random variable.****b.) Write the probability distribution.****c.) Draw a histogram.****d.) Describe the shape of the histogram.****e.) Find the mean.****f.) Find the variance.****g.) Find the standard deviation**