diff --git a/test_convoys.py b/test_convoys.py
index a53a441..ad7e0dd 100644
--- a/test_convoys.py
+++ b/test_convoys.py
@@ -50,12 +50,12 @@ def test_exponential_regression_model(c=0.3, lambd=0.1, n=100000):
     assert 0.70*(c_hi-c_lo) < (y_hi-y_lo) < 1.30*(c_hi-c_lo)
 
     # Check the random variates
-    will_convert, convert_at = model.rvs([1], n_curves=1, n_samples=1000)
+    will_convert, convert_at = model.rvs([1], n_curves=1, n_samples=10000)
     assert 0.95*c < numpy.mean(will_convert) < 1.05*c
     convert_times = convert_at[will_convert]
     for t in [1, 3, 10]:
         d = 1 - numpy.exp(-lambd*t)
-        assert 0.9*d < (convert_times < t).mean() < 1.1*d
+        assert 0.8*d < (convert_times < t).mean() < 1.2*d
 
 
 @flaky.flaky