Let \(M\) be a randomly chosen non-empty subset of \(S = \{1,2,3,\ldots,2026\}\). Which of the following is the probability that t…
Suppose a random variable \(Z\) follows \(Normal(\mu=0, \sigma^2=1)\) distribution with probability density function \(g(z)\) and …
The number of bijections \(f(\cdot)\) from the set \(S = \{1, 2, 3, 4\}\) to itself such that \(f(f(n)) = n\), for all \(n \in S\)…
Let \(X\) be an exponentially distributed random variable with mean \(\lambda (> 0)\). If \(P(X > 5) = 0.35\), then the conditiona…
Let \(X\) and \(Y\) be two independent random variables. \(X\) follows \(Bernoulli(p=0.3)\) distribution and \(Y\) follows \(Norma…
Let \[ L = \lim_{n \to \infty} \sum_{k=0}^{n} \frac{e^{-n} n^{k}}{k!} \] Which of the following is the value of \(L\)?
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