Question: 8. Using set notation, write out the sample space for each of the following random experiements. (a) A coin is tossed four times in a

8. Using set notation, write out the sample space for each of the following random experiements. (a) A coin is tossed four times in a row. The observation is how the coin lands (H or T) on each toss. (b) A basketball player shoots two consecutive free throws. The observation is the result of each free throw (s for success, f for failure). (c) A coin is tossed four times in a row. The observation is the number of times the coin comes up tails. (d) A basketball player shoots two consecutive free throws. The observation is the number of successes. (a) Choose the correct answer below. O A. (0, 1, 2) O B. (HHHH. HHHT, HHTH, HTHH, THHH, HHTT, HTHT, THHT, HTTH, THTH, TTHH, HTTT, THTT, TTHT, TTTH. TTTT) O C. (HH, HT, TH, TT) O D. (0, 1, 2, 3, 4) (b) Choose the correct answer below. O A. (ss, sf, is, fly O B. (0, 1, 2) O C. (sss, ssf, sfs, fss, sff, fsf, ffs, fff) O D. (0, 1, 2, 3) (c) Choose the correct answer below. O A. {0, 1, 2, 3) O B. (HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, THHT, HTTH, THTH, TTHH, HTTT, THTT, TTHT, TITH, TTTT} O c. (0, 1, 2, 3. 4) O D. (HHH, HHT, HTH, THH, HTT, THT, TTH, TTT) (d) Choose the correct answer below. O A. (ss, sf, fs, ff) O B. (sss, ssf, sfs, fss, sff, fsf, ffs. ff) O C. (0. 1. 2) O D. {0, 1, 2, 3)

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