Stochastic Selection of Cosmological Constant in Chaotic Inflation: A String Theory Landscape Approach

   - Standard deviation: \( \sigma_\Lambda = 0.3 \times 10^{-122} M_{\text{Pl}}^4 \).  

2. Probability of Habitability

   - Habitual bubble fraction:  \[ f_{\text{habit}} = (9.2 \pm 1.5) \times 10^{-120}.\]  

   - Consistent with Weinberg's (1987) prediction: \( f_{\text{habit}} \sim 10^{-120} \).  

3. Parameter Correlation

   - Negative correlation between \( \Lambda \) and \( N_{\text{gal}} \) (\( r = -0.78 \)):  \[\Lambda \uparrow \Rightarrow N_{\text{gal}} \downarrow. \]  

Result Visualization

Figure 1: Histogram \( \Lambda \)

- Sumbu-X: \( \log_{10}(\Lambda / M_{\text{Pl}}^4)\).  

- Y-axis: Probability density \( P(\Lambda) \).  

- Peak: Observed at \( \log_{10}\Lambda \approx-122 \).