Difference between revisions of "TDSM 5.3"
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Caitaozhan (talk | contribs) m (binomial distribution, normal) |
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(a) <math>B(100, 0.5) \approx N(100 \times 0.5, 100 \times 0.5 \times 0.5) = N(50, 25)</math> | (a) <math>B(100, 0.5) \approx N(100 \times 0.5, 100 \times 0.5 \times 0.5) = N(50, 25)</math> | ||
| − | <math>P(X \geq 70) = 1 - P(X < 70) = 1 - P \left( Z < \frac{70-50}{25} \right) = 1 - P(Z<4) \approx 0</math> | + | <math>P(X \geq 70) = 1 - P(X < 70) = 1 - P \left( Z < \frac{70-50}{\sqrt{25}} \right) = 1 - P(Z<4) \approx 0</math> |
Latest revision as of 00:43, 13 December 2017
(a) [math]B(100, 0.5) \approx N(100 \times 0.5, 100 \times 0.5 \times 0.5) = N(50, 25)[/math]
[math]P(X \geq 70) = 1 - P(X \lt 70) = 1 - P \left( Z \lt \frac{70-50}{\sqrt{25}} \right) = 1 - P(Z\lt 4) \approx 0[/math]
