Let X sim N(mu, sigma^2). If sigma^2 = mu^2, mu 0, then the expression of P[(X < -mu) mid (X < mu)] in terms of the cdf of N(0, 1) distribution Phi(.) is:

Q58Section I (Objective (Q1–Q80))58 of 80

Distribution Theory — conditional probability for normal variate

Let $X \sim N(\mu, \sigma^2)$ . If $\sigma^2 = \mu^2$ , $\mu > 0$ , then the expression of $\mathbb{P}[(X < -\mu) \mid (X < \mu)]$ in terms of the cdf of $N(0, 1)$ distribution $\Phi(.)$ is:

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