11) An unfair coin has a probability 0.4 of landing heads. The coin is tossed four times. What 11) is the probability that it lands heads at least once? A) 0.936 B) 0.25 C) 0.9744 D) 0.8704 12) A lot of 1000 components contains 300 that are defective. Two components are drawn at 12) random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Find P(B|A). A) 0.0033 B) 0.0898 C) 0.3 D) 0.2993 13) Evaluate the factorial: 6! 13) A) 36 B) 720 C) 120 D) 30 14) Evaluate the permutation: 116 14) A) 332,640 B) 66 C) 462 D) 39,916,800 15) Evaluate the combination: 11 C7 15) A) 39,916,800 B) 77 C) 330 D) 1,663,200 16) A committee consists of 10 women and 7 men. Three members are chosen as officers. 16) What is the probability that all three officers are women? A) 0. 1765 B) 0.2035 C) 0.03392 D) 0.0515 17) Determine whether the table represents a discrete probability distribution. 17) P( x) 0.4 0.3 0.1 2 0.35 A) Yes B) No 18) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family, Find the 18 )