Recent content by cahiersujet

  1. C

    Probability of Bit Strings with 1 and 00 Endings: A 10-bit Analysis

    Homework Statement Find the probability that a randomly generated bit string of length 10 begins with a 1 or ends with 00 if the probability that a bit is a 0 is 0.4. Homework Equations The Attempt at a Solution The probability that a bit is a 0 is 0.4 and that a bit is a 1 is...
  2. C

    Undergrad What Function Has All Real Numbers as Domain and Range [0,1]?

    What function has a domain consisting of all real numbers and a range from [0,1]?
  3. C

    What Conditions Make a∘b Equal to b∘a for Given Functions?

    Homework Statement Let a=fx+g and b=hx+i. For which real numbers f,g,h,i a∘ b = b∘ a Homework Equations The Attempt at a Solution a∘ b(x)=(a(b(x))= h(fx+g)+i= fhx+gh+i b∘ a(x)=(b(a(x))= f(hx+i)+g= fhx+fi+g I'm kind of stuck here as I don't think I know what the question is...
  4. C

    Undergrad What is the subspace spanned by a single vector in function space?

    What would the subspace spanned by a single vector (for example) f(x)=x+1 be?