- 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 – 10P8
- 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
