First let Y follow standard normal distribution - N(0,1). And Let X be the answer you get when you round Y to the nearest integer. Please Calculate P(X is odd).
2026-04-04 17:36:12.1775324172
How to calculate the following probability of X being odd?
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How about
$2 \sum_{k=0}^\infty P(0.5 + 2k \leq Y \leq 1.5+2k)$
$= 2 \sum_{k = 0}^{\infty}\left [ \Phi(1.5 + 2k) - \Phi(0.5 + 2k) \right ]$