The probability of winning a certain lottery to stay in a lodge near Antelope Valley Canyon is 1 For those 69228 who play 915 times, find the standard deviation for the number of wins.

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**Probability of Winning a Lottery to Stay in a Lodge near Antelope Valley Canyon**

The probability of winning a certain lottery to stay in a lodge near Antelope Valley Canyon is \( \frac{1}{69228} \). For those who play 915 times, find the standard deviation for the number of wins. 

\[
\sigma = \_\_\_\_\_\_\_
\]

---

The image on the side shows a scenic view of Antelope Valley Canyon, capturing the beauty of the canyon’s intricate rock formations with light streaming through. This picturesque setting provides a visual representation of the desirable location, enhancing the excitement of the lottery prize.

To calculate the standard deviation (\( \sigma \)), use the formula for the standard deviation of a binomial distribution:

\[
\sigma = \sqrt{n \times p \times (1-p)}
\]

where \( n = 915 \) is the number of trials, and \( p = \frac{1}{69228} \) is the probability of success. 

---

**Add Work**: Space is provided for students or readers to manually calculate and input their solution for \( \sigma \).
Transcribed Image Text:**Probability of Winning a Lottery to Stay in a Lodge near Antelope Valley Canyon** The probability of winning a certain lottery to stay in a lodge near Antelope Valley Canyon is \( \frac{1}{69228} \). For those who play 915 times, find the standard deviation for the number of wins. \[ \sigma = \_\_\_\_\_\_\_ \] --- The image on the side shows a scenic view of Antelope Valley Canyon, capturing the beauty of the canyon’s intricate rock formations with light streaming through. This picturesque setting provides a visual representation of the desirable location, enhancing the excitement of the lottery prize. To calculate the standard deviation (\( \sigma \)), use the formula for the standard deviation of a binomial distribution: \[ \sigma = \sqrt{n \times p \times (1-p)} \] where \( n = 915 \) is the number of trials, and \( p = \frac{1}{69228} \) is the probability of success. --- **Add Work**: Space is provided for students or readers to manually calculate and input their solution for \( \sigma \).
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