Difference between revisions of "TDSM 5.3"

From The Data Science Design Manual Wikia
Jump to: navigation, search
(Created page with "<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 \leq 70) = 1 - P(X < 70) = 1 - P \left( Z < \frac{70-50}{25} \right) =...")
 
Line 1: Line 1:
<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 \leq 70) =  1 - P(X < 70) =  1 - P \left( Z < \frac{70-50}{25} \right) = 1 - P(Z<0.8) = 1-0.7881 = 0.2119</math>
+
<math>P(X \geq 70) =  1 - P(X < 70) =  1 - P \left( Z < \frac{70-50}{25} \right) = 1 - P(Z<0.8) = 1-0.7881 = 0.2119</math>

Revision as of 02:07, 11 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}{25} \right) = 1 - P(Z\lt 0.8) = 1-0.7881 = 0.2119[/math]