修复 paddle.bernoulli 英文文档 (#42912)

* Update random.py

* test=document_fix

* test=document_fix

* Update random.py

python/paddle/tensor/random.py

@@ -30,25 +30,24 @@ __all__ = []
 def bernoulli(x, name=None):
     """
 
-    Returns a Tensor filled with random binary(0 or 1) number from a Bernoulli distribution.
-    The input ``x`` is a tensor with probabilities for generating the random binary number.
-    Each element in ``x`` should be in [0, 1], and the out is generated by:
+    For each element :math:`x_i` in input ``x``, take a sample from the Bernoulli distribution, also called two-point distribution, with success probability :math:`x_i`. The Bernoulli distribution with success probability :math:`x_i` is a discrete probability distribution with probability mass function
 
     .. math::
-
-        out_i ~ Bernoulli (x_i)
+        p(y)=\\begin{cases}
+            x_i,&y=1\\\\
+            1-x_i,&y=0
+        \end{cases}.
 
     Args:
-        x(Tensor):  A tensor with probabilities for generating the random binary number. The data type 
-            should be float32, float64.
-        name(str, optional): The default value is None. Normally there is no
-            need for user to set this property. For more information, please
-            refer to :ref:`api_guide_Name`.
+        x (Tensor): The input Tensor, it's data type should be float32, float64.
+        name (str, optional): For details, please refer to :ref:`api_guide_Name`. Generally, no setting is required. Default: None.
+
     Returns: 
-        Tensor: A Tensor filled with random binary number with the same shape and dtype as ``x``.
+        Tensor: A Tensor filled samples from Bernoulli distribution, whose shape and dtype are same as ``x``.
 
     Examples:
         .. code-block:: python
+            :name: bernoulli-example
 
             import paddle