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The expected number of tosses until the first head appears, given that head occurs with probability $p$, is \(\underline{\hspace{1cm}}\).
  • GATE EE - 2021
  • GATE EE
  • Engineering Mathematics
  • Discrete and Continuous distributions
For \[ f_X(x) = \frac{1}{\pi} \left(\frac{q}{e^x + e^{-x}}\right) \] to be a valid probability distribution function of a random variable X, the value of q is
  • GATE BM - 2021
  • GATE BM
  • Engineering Mathematics
  • Discrete and Continuous distributions