Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as zero, regardless of whether the decimal number is correct or not. Integer numbers (positive, negative, and 0) are allowed. Below are some examples. Example Math Expression How to Enter the Answer 2 2 % 3/5 )2 infinity 23+1 2"8+1 2__5 2+exp{5] % 5*pi/3 sm: 4f73*ln(2] \\5 sqrt2) ix"? Ewe/3) \\"5 (33 2 111(7'n} sqrt (5exp (3) +2Tln [7*pij) 5'. facii) .1: abs(x) Problem #5: A lot of 94 semiconductor chips contains 1? that are defective. (a) Two are selected. one at a time and without replacement from the lot. Determine the probability that the second one is defective. Problem #6: An email filter is planned to separate valid e-mails from spam. The word free occurs in 71% of the spam messages and only 3% of the valid messages. Also, 17% of the messages are spam. (a) If an email message is randomly selected, find the probability that it is spam, given that it contains the word free