Use the applet entitled Random Numbers to generate a list of 50 numbers between 1 and 100, inclusive. Use the list to find each of the following probabilities:
a. The probability that a number chosen from the list is less than or equal to 50
b. The probability that a number chosen from the list is even
c. The probability that a number chosen from the list is both less than or equal to 50 and even
d. The probability that a number chosen from the list is less than or equal to 50, given that the number is even
e. Do your results from parts a-d support the conclusion that the events less than or equal to 50 and even are independent? Explain.