TEST 1a FALL 07

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

This preview shows pages 1–3. Sign up to view the full content.

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).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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:
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 7

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online