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 Jan29 awarded Famous Question Sep8 awarded Famous Question Jul2 awarded Curious Feb10 accepted Given 2 values for $P(X \gt A)$, and that x follows the Gaussian PDF, find expected value and standard deviation Feb10 comment Given 2 values for $P(X \gt A)$, and that x follows the Gaussian PDF, find expected value and standard deviation Thank you for the info, Aleco! To elaborate on my solution, I stopped up to the ${4-m_X\over\sigma_X} = Q^{-1}(10^(-2))$ and then looked up the table of the values of the Q function and then selected the most appropriate x that produces the $10^(-2)$ result. Feb10 comment Given 2 values for $P(X \gt A)$, and that x follows the Gaussian PDF, find expected value and standard deviation So it is safe to say that $P(X \gt A) = Q( {A-m_X \over \sigma_X})$, right? Where $Q$ is the complement function of CDF of the standard normal distribution. Because this is the function that we were presented in our lectures. So, what you've wrote becomes $P(X \gt A) = 10^{-2} \Rightarrow Q({4-m_x \over \sigma_X}) = 10^{-2} \Rightarrow {4-m_x \over \sigma_X} = Q^{-1}(10^{-2})$. In which $Q^{-1}(10^{-2}) = \Phi(10^{-2})$, right? But how can I find this value? Feb9 comment Given 2 values for $P(X \gt A)$, and that x follows the Gaussian PDF, find expected value and standard deviation @AlecosPapadopoulos: Which tables do you mean? Also, why would I need to calculate the inverse cdf? Feb9 asked Given 2 values for $P(X \gt A)$, and that x follows the Gaussian PDF, find expected value and standard deviation Dec27 awarded Yearling Jul28 awarded Notable Question May13 asked How can this $T(n) = T(n-1)+T(n-2)+3n+1$ non homogenous recurrence relation be solved Mar24 awarded Notable Question Mar1 awarded Popular Question Jan27 comment Determine if a system described by a differential equation is linear What do you mean with "control system"? I've updated my question with a definition of the system I mean. Is your answer in compliance with the new meaning of the system so that I can read it to answer to you? Jan27 revised Determine if a system described by a differential equation is linear added explanation for system Jan27 comment Determine if a system described by a differential equation is linear So the system (and what I mean with system is this: "A System, is any physical set of components that takes a signal, and produces a signal") is not linear? Jan27 comment Determine if a system described by a differential equation is linear Thank you, Teun. I thought I had to use something like S{ a * x_{1}(t) + b* x_{2}(t)} = a* S{x_{1}(t)} + b * S{x_{2}(t)} (In fact this is what you are using, but I wasn't sure which would be the system output).. Jan27 accepted Determine if a system described by a differential equation is linear Jan27 asked Determine if a system described by a differential equation is linear Nov23 awarded Popular Question