The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (e) below. (a) Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather. P(Normal) = (Round to three decimal places as needed.) (b) Determine the probability that a randomly selected fatal crash in 2016 occurred in daylight. P(Daylight) = (Round to three decimal places as needed.) (c) Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather and in daylight. P(Normal and Daylight) = (Round to three decimal places as needed.) (d) Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather or in daylight. P(Normal or Daylight) = (Round to three decimal places as needed.) (e) Would it be unusual for a fatal crash in 2016 to occur while it is dark outside (without lighting) and raining? (For the purposes of this exercise, consider a probability less than 0.05 to be low.) It be unusual for a fatal crash in 2016 to occur while it is dark outside (without lighting) and raining because the probability P(Raining and Dark without lighting) = (Round to three decimal places as needed.) Why might this result be considered misleading? Select all that apply. A. A better question would be "Among the drivers on the road when it is dark and raining, what proportion result in a fatality?" B. Common sense indicates that a dark (without lighting) road in the rain is dangerous, so it seems that the probability of a fatality should be high. C. There are likely to be fewer drivers on the road at night, especially when it is raining. D. The result is not misleading.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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i just need help solving d, e, and f please. thanks
The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (e) below.

**(a)** Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather.

P(Normal) =  \_\_\_ (Round to three decimal places as needed.)

**(b)** Determine the probability that a randomly selected fatal crash in 2016 occurred in daylight.

P(Daylight) =  \_\_\_ (Round to three decimal places as needed.)

**(c)** Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather and in daylight.

P(Normal and Daylight) =  \_\_\_ (Round to three decimal places as needed.)

**(d)** Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather or in daylight.

P(Normal or Daylight) =  \_\_\_ (Round to three decimal places as needed.)

**(e)** Would it be unusual for a fatal crash in 2016 to occur while it is dark outside (without lighting) and raining? (For the purposes of this exercise, consider a probability less than 0.05 to be low.)

It \[ \_\_\_ \] be unusual for a fatal crash in 2016 to occur while it is dark outside (without lighting) and raining because the probability P(Raining and Dark without lighting) = \_\_\_ is \[ \_\_\_ \].

Why might this result be considered misleading? Select all that apply.

- [ ] A. A better question would be "Among the drivers on the road when it is dark and raining, what proportion result in a fatality?"
- [ ] B. Common sense indicates that a dark (without lighting) road in the rain is dangerous, so it seems that the probability of a fatality should be high.
- [ ] C. There are likely to be fewer drivers on the road at night, especially when it is raining.
- [ ] D. The result is not misleading.
Transcribed Image Text:The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (e) below. **(a)** Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather. P(Normal) = \_\_\_ (Round to three decimal places as needed.) **(b)** Determine the probability that a randomly selected fatal crash in 2016 occurred in daylight. P(Daylight) = \_\_\_ (Round to three decimal places as needed.) **(c)** Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather and in daylight. P(Normal and Daylight) = \_\_\_ (Round to three decimal places as needed.) **(d)** Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather or in daylight. P(Normal or Daylight) = \_\_\_ (Round to three decimal places as needed.) **(e)** Would it be unusual for a fatal crash in 2016 to occur while it is dark outside (without lighting) and raining? (For the purposes of this exercise, consider a probability less than 0.05 to be low.) It \[ \_\_\_ \] be unusual for a fatal crash in 2016 to occur while it is dark outside (without lighting) and raining because the probability P(Raining and Dark without lighting) = \_\_\_ is \[ \_\_\_ \]. Why might this result be considered misleading? Select all that apply. - [ ] A. A better question would be "Among the drivers on the road when it is dark and raining, what proportion result in a fatality?" - [ ] B. Common sense indicates that a dark (without lighting) road in the rain is dangerous, so it seems that the probability of a fatality should be high. - [ ] C. There are likely to be fewer drivers on the road at night, especially when it is raining. - [ ] D. The result is not misleading.
### Drivers Involved in Fatal Crashes in 2016 by Weather and Light Condition

This table presents data on the number of drivers involved in fatal crashes in 2016, categorized by weather conditions and light conditions at the time of the crash.

#### Table: Number of Drivers Involved in Fatal Crashes

| Weather     | Daylight | Dark, but Lighted | Dark | Dawn/Dusk | Other |
|-------------|----------|-------------------|------|-----------|-------|
| **Normal**  | 14,265   | 5,502             | 8,056| 1,249     | 66    |
| **Rain**    | 888      | 484               | 691  | 93        | 6     |
| **Snow/Sleet** | 228  | 63                | 145  | 11        | 5     |
| **Other**   | 106      | 49                | 248  | 36        | 15    |
| **Unknown** | 815      | 250               | 550  | 82        | 146   |

#### Explanation

- **Weather Conditions:** The table categorizes data under various weather conditions: Normal, Rain, Snow/Sleet, Other, and Unknown.
- **Light Conditions:** Each weather condition is further divided based on the light conditions during the crash: Daylight, Dark but Lighted, Dark, Dawn/Dusk, and Other.
  
The data provides insights into how both weather and lighting conditions might affect driver safety and contribute to fatal crashes. For example, a high number of crashes occurred under "Normal" weather and "Dark" conditions, suggesting visibility issues might be significant in crash occurrences.
Transcribed Image Text:### Drivers Involved in Fatal Crashes in 2016 by Weather and Light Condition This table presents data on the number of drivers involved in fatal crashes in 2016, categorized by weather conditions and light conditions at the time of the crash. #### Table: Number of Drivers Involved in Fatal Crashes | Weather | Daylight | Dark, but Lighted | Dark | Dawn/Dusk | Other | |-------------|----------|-------------------|------|-----------|-------| | **Normal** | 14,265 | 5,502 | 8,056| 1,249 | 66 | | **Rain** | 888 | 484 | 691 | 93 | 6 | | **Snow/Sleet** | 228 | 63 | 145 | 11 | 5 | | **Other** | 106 | 49 | 248 | 36 | 15 | | **Unknown** | 815 | 250 | 550 | 82 | 146 | #### Explanation - **Weather Conditions:** The table categorizes data under various weather conditions: Normal, Rain, Snow/Sleet, Other, and Unknown. - **Light Conditions:** Each weather condition is further divided based on the light conditions during the crash: Daylight, Dark but Lighted, Dark, Dawn/Dusk, and Other. The data provides insights into how both weather and lighting conditions might affect driver safety and contribute to fatal crashes. For example, a high number of crashes occurred under "Normal" weather and "Dark" conditions, suggesting visibility issues might be significant in crash occurrences.
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