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HW 1 Solutions

HW 1 Solutions - 4 a FFFF FFFV FFVF FVFF VFFF FFVV FVFV...

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4. a FFFF FFFV FFVF FVFF VFFF FFVV FVFV FVVF VVFF VFVF VFFV VVVF VVFV VFVV FVVV VVVV 4.b FFFV FFVF FVFF VFFF 4.c FFFF VVVV 4.d FFFF FFFV FFVF FVFF VFFF 4.e Union FFFF VVVV FFFV

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FFVF FVFF VFFF Intersection FFFF 4.f Union FFFF VVVV FFFV FFVF FVFF VFFF Intersection None/Empty Set 5. Outcome Number Outcome 1 111 2 112 3 113 4 121 5 122 6 123 7 131 8 132 9 133 10 211 11 212 12 213 13 221 14 222 15 223 16 231 17 232 18 233
19 311 20 312 21 313 22 321 23 322 24 323 25 331 26 332 27 333 5.b Outcome Numbers 1, 14, 27 5.c Outcome Numbers 6, 8, 12, 16, 20, 22 5.d Outcome Numbers 1,3, 7, 9, 19, 21, 25, 27 15.a Let event E be the event that at most one purchases an electric dryer. Then E’ is the event that at least two purchase electric dryers. P(E’) = 1-P(E) = 1-.428 = .572 15. b Let event A be the event that all five purchase gas. Let event B be the event that all five purchase electric. All other possible outcomes are those in which at least one of each type is purchased. Thus, the desired probability = 1- P(A) – P(B) = 1-.116-.005 = .879 18.

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