Determine P(a≤X≤b) when X follows any normal distribution and a and b are given Statistics & Probabilities

The following table is given:

X follows \mathcal{N}\left(2{,}3\right). Determine P\left(-3 \lt X \lt 7\right).

P\left(-3 \lt X \lt 7\right)\approx 0.905

P\left(-3 \lt X \lt 7\right)\approx 0.854

P\left(-3 \lt X \lt 7\right)\approx 0.845

P\left(-3 \lt X \lt 7\right)\approx 0.945

X follows \mathcal{N}\left(4{,}7\right). Determine P\left(-10 \lt X \lt 15\right).

P\left(-10 \lt X \lt 15\right)\approx 0.919

P\left(-10 \lt X \lt 15\right)\approx 0.859

P\left(-10 \lt X \lt 15\right)\approx 0.817

P\left(-10 \lt X \lt 15\right)\approx 0.795

X follows \mathcal{N}\left(8{,}3\right). Determine P\left(1 \lt X \lt 9\right).

P\left(1 \lt X \lt 9\right)\approx 0.6\ 194

P\left(1 \lt X \lt 9\right)\approx 0.7\ 318

P\left(1 \lt X \lt 9\right)\approx 0.7\ 456

P\left(1 \lt X \lt 9\right)\approx 0.8\ 371

X follows \mathcal{N}\left(5{,}2\right). Determine P\left(3 \lt X \lt 7\right).

P\left(3 \lt X \lt 7\right)\approx 0.6\ 826

P\left(3 \lt X \lt 7\right)\approx 0.7\ 138

P\left(3 \lt X \lt 7\right)\approx 0.7\ 413

P\left(3 \lt X \lt 7\right)\approx 0.8\ 519

X follows \mathcal{N}\left(10{,}3\right). Determine P\left(4 \lt X \lt 16\right).

P\left(4 \lt X \lt 16\right)\approx 0.9\ 544

P\left(4 \lt X \lt 16\right)\approx 0.8\ 714

P\left(4 \lt X \lt 16\right)\approx 0.7\ 381

P\left(4 \lt X \lt 16\right)\approx 0.7\ 183

X follows \mathcal{N}\left(6{,}4\right). Determine P\left(-3 \lt X \lt 7\right).

P\left(-3 \lt X \lt 7\right)\approx 0.5\ 865

P\left(-3 \lt X \lt 7\right)\approx 0.6\ 137

P\left(-3 \lt X \lt 7\right)\approx 0.6\ 317

P\left(-3 \lt X \lt 7\right)\approx 0.7\ 415