Question

Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 28, n(B) = 30, n(C) = 34, n(A ∩ B) = 6, n(A ∩ C) = 11, n(B ∩ C) = 14, and n(A ∩ B ∩ C) = 3. Compute each of the following. (a) n[A ∪ (B ∩ C)] 39 Correct: Your answer is correct. You're right! (b) n((Ac ∩ Bc ∩ Cc)c)

Name: let a b and c be subsets of a universal set u and suppose nu 150 na 28 nb 30 nc 34 na b 6 na c 11 nb c 14 and na b c 3 compute each of the following a na b c 39 correct your answer is correc 44353
Uploaded: 2023-09-11T18:07:58-08:00
Duration: 1 min 18 s
Channel: Adi S
Description: let a b and c be subsets of a universal set u and suppose nu 150 na 28 nb 30 nc 34 na b 6 na c 11 nb c 14 and na b c 3 compute each of the following a na b c 39 correct your answer is correc 44353

          Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 28, n(B) = 30, n(C) = 34, n(A ∩ B) = 6, n(A ∩ C) = 11, n(B ∩ C) = 14, and n(A ∩ B ∩ C) = 3. Compute each of the following.
(a)
n[A ∪ (B ∩ C)]
39
Correct: Your answer is correct.
 You're right!
(b)
n((Ac ∩ Bc ∩ Cc)c)

Added by Richard E.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/11/2023

Step 1

The complement of A, denoted as Ac, is the set of all elements in U that are not in A. Since n(U) = 150 and n(A) = 28, n(Ac) = n(U) - n(A) = 150 - 28 = 122. Similarly, n(Bc) = 150 - 30 = 120 and n(Cc) = 150 - 34 = 116. Show more…

Show all steps

Thanks for your feedback!

Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 28, n(B) = 30, n(C) = 34, n(A ∩ B) = 6, n(A ∩ C) = 11, n(B ∩ C) = 14, and n(A ∩ B ∩ C) = 3. Compute each of the following. (a) n[A ∪ (B ∩ C)] 39 Correct: Your answer is correct. You're right! (b) n((Ac ∩ Bc ∩ Cc)c)