Question

At least one of the answers above is NOT correct. How many 13-bit strings (that is, bit strings of length 13) are there which: a. Start with the sub-string 011? 1024 b. Have weight 5 (i.e., contain exactly 5 1's) and start with the sub-string 011? 120 c. Either start with 011 or end with 01 (or both)? 2816 d. Have weight 5 and either start with 011 or end with 01 (or both)? 478

          At least one of the answers above is NOT correct.
How many 13-bit strings (that is, bit strings of length 13) are there which:
a. Start with the sub-string 011?
1024
b. Have weight 5 (i.e., contain exactly 5 1's) and start with the sub-string 011?
120
c. Either start with 011 or end with 01 (or both)?
2816
d. Have weight 5 and either start with 011 or end with 01 (or both)?
478

At least one of the answers above is NOT correct.
How many 13-bit strings (that is, bit strings of length 13) are there which:
a. Start with the sub-string 011?
1024
b. Have weight 5 (i.e., contain exactly 5 1's) and start with the sub-string 011?
120
c. Either start with 011 or end with 01 (or both)?
2816
d. Have weight 5 and either start with 011 or end with 01 (or both)?
478

Added by Linda D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

06/14/2023

Step 1

Start with the sub-string 011: Since the first three bits are fixed as 011, we have 10 remaining bits that can be either 0 or 1. So there are 2^10 = 1024 possible 13-bit strings that start with 011. Show more…

Show all steps

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How many 13-bit strings (that is, bit strings of length 13) are there which: a. Start with the sub-string 011? 1024 b. Have weight 5 (i.e., contain exactly 5 1's) and start with the sub-string 011? 120 c. Either start with 011 or end with 01 (or both)? 2816 d. Have weight 5 and either start with 011 or end with 01 (or both)? 478