Write a script that plays the guess the number. Choose the number to be guessed by selecting a random integer in the range 1 to 1000 Do not reveal this number to the user. Display the prompt Guess my number between 1 and 1000 with the fewest guesses:. The player inputs a first guess. If the guess is incorrect, display Too high. Try again. or Too low. Try again. as appropriate to help the player zero in on the correct answer, then prompt the user for the next guess. When the user enters the correct answer, display Congratulations. You guessed the number!, and allow the user to choose whether to play again. In [10]: # write the script here Question 6 (2 points) Write a function that performs the factorial calculations that are common in probability. The factorial of a nonnegative integer n is written nl (pronounced "n factorial") and is defined as follows n! n (n-1) (n 2) 1. For values of n greater than or equal to 1, with 0! defined to be 1. So, 5! - 5 4 3 2 1 which is 120. Factorials increase in size very rapidly. The factorial function should receive a nonnegative integer, compute, and display its factorial. Try your script on the integers 10, 20, 30 and even larger values. In [11]: # write the function code here In [12]: # Write a program that calls the function and display the returned results. Question 7 (2 points) Write a script that estimates the value of the mathematical constant e by using the formula below. Your script can stop after summing 10 terms. The script should use the factorial function created in the Question 6. 1+ 1 1 1 1!* 2!*3! In [13]: # Write the script here