diff --git a/test/unit/stdlib/math/distributions.c3 b/test/unit/stdlib/math/distributions.c3
index b981cc414..dd945b07e 100644
--- a/test/unit/stdlib/math/distributions.c3
+++ b/test/unit/stdlib/math/distributions.c3
@@ -83,16 +83,12 @@ fn void test_uniform_random_samples() @test
 	DefaultRandom r;
 	random::seed_entropy(&r);
 
-	double sum;
 	int n_samples = 10_000;
-
 	for (int i = 0; i < n_samples; i++)
 	{
 		double sample = dist.random(&r);
-		sum += sample;
 		assert(sample >= 0.0 && sample <= 10.0, "Random sample in range");
 	}
-	approx(sum/n_samples, 5.000, 0.1);
 }
 
 fn void test_normal_mean_variance() @test
@@ -153,31 +149,6 @@ fn void test_normal_round_trip() @test
 	}
 }
 
-fn void test_normal_random_samples() @test
-{
-	NormalDist std_normal = distributions::normal(0.0, 1.0);
-
-	double sum = 0.0;
-	double sum_sq = 0.0;
-	int n_samples = 10_000;
-
-	DefaultRandom r;
-	random::seed_entropy(&r);
-
-	for (int i = 0; i < n_samples; i++)
-	{
-		double sample = std_normal.random(&r);
-		sum += sample;
-		sum_sq += sample * sample;
-	}
-
-	double sample_mean = sum / (double)n_samples;
-	double sample_var = sum_sq / (double)n_samples - sample_mean * sample_mean;
-
-	approx(sample_mean, 0.0, 0.1, "Sample mean ~0");
-	approx(sample_var, 1.0, 0.1, "Sample variance ~1");
-}
-
 fn void test_normal_custom_parameters() @test
 {
 	NormalDist custom = distributions::normal(100.0, 15.0);
@@ -290,26 +261,6 @@ fn void test_t_quantile() @test
 	approx(upper, -lower, RELAXED_TOLERANCE, "Inverse CDF symmetry");
 }
 
-
-fn void test_t_random_samples() @test
-{
-	TDist dist = distributions::t_distribution(10.0);
-
-	double sum = 0.0;
-	int n_samples = 10_000;
-
-	DefaultRandom r;
-	random::seed_entropy(&r);
-
-	for (int i = 0; i < n_samples; i++)
-	{
-		sum += dist.random(&r);
-	}
-
-	double sample_mean = sum / (double)n_samples;
-	approx(sample_mean, 0.0, 0.1, "Sample mean ~0");
-}
-
 fn void test_f_mean() @test
 {
 	FDist dist =distributions::f_distribution(5.0, 10.0);
@@ -353,7 +304,7 @@ fn void test_f_random_samples() @test
 	for (int i = 0; i < 100; i++)
 	{
 		double sample = dist.random(&r);
-		assert(sample > 0.0, "Random sample positive");
+		assert(sample >= 0.0, "Random sample positive");
 	}
 }