QUESTION 10 The table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This table gives the results of 365 consecutive days and compares whether it rained or not to whether or not rain was predicted. Report Predicted Rain Report Predicted No Rain Did it actually rain? Yes 105 40 No 15 205 (a) How many times was the prediction correct? (b) How many times was it wrong? (c) If one day is randomly selected from last year, what is the probability that the prediction was correct? Round your answer to 3 digits.

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please answer question 10

## Question 10: Analyzing Weather Prediction Accuracy

The table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This table provides the results of 365 consecutive days and compares whether it rained or not to whether or not rain was predicted.

### Weather Prediction Accuracy Table

|                         | Did it actually rain? |
|-------------------------|-----------------------|
|                         | Yes   | No   |
| **Report Predicted Rain** | 105   | 15   |
| **Report Predicted No Rain** | 40    | 205  |

### Questions and Analysis

**(a) How many times was the prediction correct?**  
Enter the number in the provided blank.

**(b) How many times was it wrong?**  
Enter the number in the provided blank.

**(c) If one day is randomly selected from last year, what is the probability that the prediction was correct?**  
*Round your answer to 3 digits.*  
\[ P(\text{prediction was correct}) =  \]

**(d) Tomorrow, the same local weather report will be given. Estimate the probability that it will be correct with respect to rain or no rain.**  
*Round your answer to 3 digits.*  
\[ P(\text{tomorrow's prediction is correct}) =  \]
Transcribed Image Text:## Question 10: Analyzing Weather Prediction Accuracy The table below indicates the accuracy of a local weather report with respect to rain or no rain over the past year. This table provides the results of 365 consecutive days and compares whether it rained or not to whether or not rain was predicted. ### Weather Prediction Accuracy Table | | Did it actually rain? | |-------------------------|-----------------------| | | Yes | No | | **Report Predicted Rain** | 105 | 15 | | **Report Predicted No Rain** | 40 | 205 | ### Questions and Analysis **(a) How many times was the prediction correct?** Enter the number in the provided blank. **(b) How many times was it wrong?** Enter the number in the provided blank. **(c) If one day is randomly selected from last year, what is the probability that the prediction was correct?** *Round your answer to 3 digits.* \[ P(\text{prediction was correct}) = \] **(d) Tomorrow, the same local weather report will be given. Estimate the probability that it will be correct with respect to rain or no rain.** *Round your answer to 3 digits.* \[ P(\text{tomorrow's prediction is correct}) = \]
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