Question
Download Solution PDFयदि एक द्विपद विचर X के माध्य और प्रसरण क्रमशः 2 और 1 हैं तो X, 1 से अधिक मान लेने की प्रायिकता क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
द्विपद वितरण- द्विपद वितरण सूत्र निम्न है: P (X = r) =
P(X) = एक अलग प्रयास पर सफलता की प्रायिकता
p = "सफलताओं" की प्रायिकता
r = सफलताओं की संख्या
q = "सफलताओं" की प्रायिकता या q = 1- p
n = प्रयासों की संख्या
- माध्य = np
- प्रसरण = npq
गणना:
दिया हुआ: माध्य = 2, प्रसरण = 1
हम जानते हैं p + q = 1
इसलिए, p = 1 - ½ = ½
माध्य = 2
⇒ np = 2
⇒ n = 2/p
= 4
हम जानते हैं P(आवश्यक) = 1 – P (आवश्यक नहीं)
P (X > 1) = 1 – P (X = 0) – P (X = 1)
इसलिए, विकल्प (4) सही है
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