diff --git a/presto-docs/src/main/sphinx/functions/math.rst b/presto-docs/src/main/sphinx/functions/math.rst
index 106faa636f9d..4199a68d4381 100644
--- a/presto-docs/src/main/sphinx/functions/math.rst
+++ b/presto-docs/src/main/sphinx/functions/math.rst
@@ -109,6 +109,12 @@ Mathematical Functions
     The lambda parameter must be a positive real number (of type DOUBLE).
     The probability p must lie on the interval [0, 1).
 
+.. function:: inverse_weibull_cdf(a, b, p) -> double
+
+    Compute the inverse of the Weibull cdf with given parameters ``a``, ``b`` for the probability ``p``.
+    The ``a``, ``b`` parameters must be positive double values. The probability ``p`` must be a double
+    on the interval [0, 1].
+
 .. function:: normal_cdf(mean, sd, v) -> double
 
     Compute the Normal cdf with given mean and standard deviation (sd):  P(N < v; mean, sd).
@@ -220,6 +226,11 @@ Mathematical Functions
     ``truncate(REAL '12.333', 0)``  -> result is 12.0
     ``truncate(REAL '12.333', 1)``  -> result is 12.3
 
+.. function:: weibull_cdf(a, b, value) -> double
+
+    Compute the Weibull cdf with given parameters a, b: P(N <= value). The ``a``
+    and ``b`` parameters must be positive doubles and ``value`` must also be a double.
+
 .. function:: width_bucket(x, bound1, bound2, n) -> bigint
 
     Returns the bin number of ``x`` in an equi-width histogram with the
diff --git a/presto-main/src/main/java/com/facebook/presto/operator/scalar/MathFunctions.java b/presto-main/src/main/java/com/facebook/presto/operator/scalar/MathFunctions.java
index d6203539681a..2efeb0e1a4c1 100644
--- a/presto-main/src/main/java/com/facebook/presto/operator/scalar/MathFunctions.java
+++ b/presto-main/src/main/java/com/facebook/presto/operator/scalar/MathFunctions.java
@@ -35,6 +35,7 @@
 import org.apache.commons.math3.distribution.CauchyDistribution;
 import org.apache.commons.math3.distribution.ChiSquaredDistribution;
 import org.apache.commons.math3.distribution.PoissonDistribution;
+import org.apache.commons.math3.distribution.WeibullDistribution;
 import org.apache.commons.math3.special.Erf;
 
 import java.math.BigDecimal;
@@ -816,6 +817,35 @@ public static double poissonCdf(
         return distribution.cumulativeProbability((int) value);
     }
 
+    @Description("Inverse of Weibull cdf given a, b parameters and probability")
+    @ScalarFunction
+    @SqlType(StandardTypes.DOUBLE)
+    public static double inverseWeibullCdf(
+            @SqlType(StandardTypes.DOUBLE) double a,
+            @SqlType(StandardTypes.DOUBLE) double b,
+            @SqlType(StandardTypes.DOUBLE) double p)
+    {
+        checkCondition(p >= 0 && p <= 1, INVALID_FUNCTION_ARGUMENT, "p must be in the interval [0, 1]");
+        checkCondition(a > 0, INVALID_FUNCTION_ARGUMENT, "a must be greater than 0");
+        checkCondition(b > 0, INVALID_FUNCTION_ARGUMENT, "b must be greater than 0");
+        WeibullDistribution distribution = new WeibullDistribution(null, a, b, WeibullDistribution.DEFAULT_INVERSE_ABSOLUTE_ACCURACY);
+        return distribution.inverseCumulativeProbability(p);
+    }
+
+    @Description("Weibull cdf given the a, b parameters and value")
+    @ScalarFunction
+    @SqlType(StandardTypes.DOUBLE)
+    public static double weibullCdf(
+            @SqlType(StandardTypes.DOUBLE) double a,
+            @SqlType(StandardTypes.DOUBLE) double b,
+            @SqlType(StandardTypes.DOUBLE) double value)
+    {
+        checkCondition(a > 0, INVALID_FUNCTION_ARGUMENT, "a must be greater than 0");
+        checkCondition(b > 0, INVALID_FUNCTION_ARGUMENT, "b must be greater than 0");
+        WeibullDistribution distribution = new WeibullDistribution(null, a, b, WeibullDistribution.DEFAULT_INVERSE_ABSOLUTE_ACCURACY);
+        return distribution.cumulativeProbability(value);
+    }
+
     @Description("round to nearest integer")
     @ScalarFunction("round")
     @SqlType(StandardTypes.TINYINT)
diff --git a/presto-main/src/test/java/com/facebook/presto/operator/scalar/TestMathFunctions.java b/presto-main/src/test/java/com/facebook/presto/operator/scalar/TestMathFunctions.java
index 1aebf8f5fefb..dd9f073d8153 100644
--- a/presto-main/src/test/java/com/facebook/presto/operator/scalar/TestMathFunctions.java
+++ b/presto-main/src/test/java/com/facebook/presto/operator/scalar/TestMathFunctions.java
@@ -1475,6 +1475,31 @@ public void testPoissonCdf()
         assertInvalidFunction("poisson_cdf(3, -10)", "value must be a non-negative integer");
     }
 
+    public void testInverseWeibullCdf()
+    {
+        assertFunction("inverse_weibull_cdf(1.0, 1.0, 0.0)", DOUBLE, 0.0);
+        assertFunction("round(inverse_weibull_cdf(1.0, 1.0, 0.632), 2)", DOUBLE, 1.00);
+        assertFunction("round(inverse_weibull_cdf(1.0, 0.6, 0.91), 2)", DOUBLE, 1.44);
+
+        assertInvalidFunction("inverse_weibull_cdf(0, 3, 0.5)", "a must be greater than 0");
+        assertInvalidFunction("inverse_weibull_cdf(3, 0, 0.5)", "b must be greater than 0");
+        assertInvalidFunction("inverse_weibull_cdf(3, 5, -0.1)", "p must be in the interval [0, 1]");
+        assertInvalidFunction("inverse_weibull_cdf(3, 5, 1.1)", "p must be in the interval [0, 1]");
+    }
+
+    @Test
+    public void testWeibullCdf()
+            throws Exception
+    {
+        assertFunction("weibull_cdf(1.0, 1.0, 0.0)", DOUBLE, 0.0);
+        assertFunction("weibull_cdf(1.0, 1.0, 40.0)", DOUBLE, 1.0);
+        assertFunction("round(weibull_cdf(1.0, 0.6, 3.0), 2)", DOUBLE, 0.99);
+        assertFunction("round(weibull_cdf(1.0, 0.9, 2.0), 2)", DOUBLE, 0.89);
+
+        assertInvalidFunction("weibull_cdf(0, 3, 0.5)", "a must be greater than 0");
+        assertInvalidFunction("weibull_cdf(3, 0, 0.5)", "b must be greater than 0");
+    }
+
     @Test
     public void testWilsonInterval()
     {