TEST 1a FALL 07

TEST 1a FALL 07 - 1 NAME ISyE 3770 - Test 1a Solutions -...

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1 NAME ISyE 3770 — Test 1 a Solutions — Fall 2007 This test is 85 minutes long. You are allowed one cheat sheet. Put your nice, simple answers here. .. 1(a). 1(b). 1(c). 1(d). 1(e). 1(f). 1(g). 1(h). 1(i). 1(j). 1(k). 1(l). 1(m). 1(n). 1(o). 1(p). 1(q). 2(a). 2(b). 2(c). 3(a). 3(b). 3(c). 4. 5. 6(a). 6(b). 6(c).
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1. (50 points) Short-Answer Questions (a) What is any subset of the sample space called? Solution: Event. 2 (b) If P ( A ) = 0 . 3 and P ( B ) = 0 . 6, and A and B are disjoint, find P ( A B ). Solution: 0. 2 (c) If P ( A ) = 0 . 3 and P ( B ) = 0 . 6, and A and B are disjoint, find P ( A B ). Solution: P ( A ) + P ( B ) = 0 . 9. 2 (d) If P ( A ) = 0 . 7 and P ( B ) = 0 . 6, and A and B are independent, find P ( A B ). Solution: P ( A ) P ( B ) = 0 . 42. 2 (e) If P ( A ) = 0 . 7 and P ( B ) = 0 . 6, and A and B are independent, find P ( A B ). Solution: P ( A ) + P ( B ) - P ( A B ) = P ( A ) + P ( B ) - P ( A ) P ( B ) = 0 . 88. 2 (f) TRUE or FALSE? ¯ A ¯ B = A B . Solution: TRUE — this is DeMorgan’s Law. 2 (g) TRUE or FALSE? If n r 0, then n r · = P n,r /r !. Solution:
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TEST 1a FALL 07 - 1 NAME ISyE 3770 - Test 1a Solutions -...

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