diff --git a/crates/mohu-random/src/continuous.rs b/crates/mohu-random/src/continuous.rs
index dc03763..3205af1 100644
--- a/crates/mohu-random/src/continuous.rs
+++ b/crates/mohu-random/src/continuous.rs
@@ -1 +1,49 @@
-// continuous — implementation pending
+use mohu_buffer::Buffer;
+use mohu_error::{MohuError, MohuResult, ensure};
+use rand::Rng;
+
+pub fn uniform(shape: &[usize], low: f64, high: f64) -> MohuResult<Buffer> {
+    ensure!(
+        low.is_finite() && high.is_finite() && high > low,
+        MohuError::domain(
+            "uniform",
+            "high must be greater than low and bounds must be finite"
+        )
+    );
+
+    let n: usize = shape.iter().product();
+    let mut rng = rand::rng();
+
+    let data: Vec<f64> = (0..n).map(|_| rng.random_range(low..high)).collect();
+
+    Buffer::from_vec(data)?.reshape(shape)
+}
+
+pub fn normal(shape: &[usize], mean: f64, std: f64) -> MohuResult<Buffer> {
+    ensure!(
+        std.is_finite() && std > 0.0,
+        MohuError::domain("normal", "std must be positive and finite")
+    );
+
+    let n: usize = shape.iter().product();
+    let mut rng = rand::rng();
+
+    let data: Vec<f64> = (0..n)
+        .map(|_| {
+            // Draw u1 from (0, 1] to avoid log(0) = -inf in Box-Muller
+            let u1: f64 = loop {
+                let x: f64 = rng.random();
+                if x > 0.0 {
+                    break x;
+                }
+            };
+            let u2: f64 = rng.random();
+
+            let z0 = (-2.0 * u1.ln()).sqrt() * (2.0 * std::f64::consts::PI * u2).cos();
+
+            mean + std * z0
+        })
+        .collect();
+
+    Buffer::from_vec(data)?.reshape(shape)
+}
diff --git a/crates/mohu-random/src/discrete.rs b/crates/mohu-random/src/discrete.rs
index 17f166e..c04418c 100644
--- a/crates/mohu-random/src/discrete.rs
+++ b/crates/mohu-random/src/discrete.rs
@@ -1 +1,17 @@
-// discrete — implementation pending
+use mohu_buffer::Buffer;
+use mohu_error::{MohuError, MohuResult, ensure};
+use rand::Rng;
+
+pub fn integers(shape: &[usize], low: i64, high: i64) -> MohuResult<Buffer> {
+    ensure!(
+        high > low,
+        MohuError::domain("integers", "high must be greater than low")
+    );
+
+    let n: usize = shape.iter().product();
+    let mut rng = rand::rng();
+
+    let data: Vec<i64> = (0..n).map(|_| rng.random_range(low..high)).collect();
+
+    Buffer::from_vec(data)?.reshape(shape)
+}