


"""simple docstring"""






from math import factorial
def      lowerCamelCase       (     _UpperCamelCase		:      int       ,			_UpperCamelCase		:      int       ,			_UpperCamelCase		:      float							)		->       float:

							'''simple docstring'''



							if successes > trials:
														raise ValueError("""successes must be lower or equal to trials"""							)
							if trials < 0 or successes < 0:
														raise ValueError("""the function is defined for non-negative integers"""							)
							if not isinstance(__UpperCamelCase       ,			__UpperCamelCase							) or not isinstance(__UpperCamelCase       ,			__UpperCamelCase							):
														raise ValueError("""the function is defined for non-negative integers"""							)
							if not 0 < prob < 1:
														raise ValueError("""prob has to be in range of 1 - 0"""							)
							__UpperCAmelCase   :						Tuple      							=					(prob**successes) * ((1 - prob) ** (trials - successes))
							# Calculate the binomial coefficient: n! / k!(n-k)!
							__UpperCAmelCase   :						int      							=					float(factorial(__UpperCamelCase							)							)
							coefficient /= factorial(__UpperCamelCase							) * factorial(trials - successes							)
							return probability * coefficient


if __name__ == "__main__":
							from doctest import testmod

							testmod()
							print('Probability of 2 successes out of 4 trails')
							print('with probability of 0.75 is:', end=' ')
							print(binomial_distribution(2, 4, 0.75))

import socket



def 	__SCREAMING_SNAKE_CASE  (					)							->					Optional[int]:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__										=      socket.socket(socket.AF_INET ,     socket.SOCK_STREAM	)
  SCREAMING_SNAKE_CASE__										=      socket.gethostname()
  SCREAMING_SNAKE_CASE__										=      1_23_12

  sock.connect((host, port)	)
  sock.send(B"""Hello server!"""	)

  with open("""Received_file""" ,     """wb"""	) as out_file:
    print("""File opened"""	)
    print("""Receiving data..."""	)
    while True:
      SCREAMING_SNAKE_CASE__										=      sock.recv(10_24	)
      if not data:
        break
      out_file.write(__UpperCamelCase	)

  print("""Successfully received the file"""	)
  sock.close()
  print("""Connection closed"""	)


if __name__ == "__main__":
   main()
