Question
Download Solution PDFप्रायिकता घनत्व फलन f(x) = 4x3; 0 < x < 1 वाले यादृच्छिक चर X के लिए, अन्तःचतुर्थक श्रेणी है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
F(x) = 4x3
सूत्र
अन्तःचतुर्थक श्रेणी के लिए = Q3 – Q1
Q3 = 75/100
Q1 = 25/100
गणना
⇒ ¾ = 4 (X4/4)Q30
⇒ ¾ = (Q43 – 0))
⇒ ¾ = Q43
∴ Q3 = (3/4)1/4
चतुर्थांश (Q1) के लिए,
⇒ 25/100 =
⇒ ¼ = 4(x4/4)Q10
⇒ ¼ = (Q14 – 0)
⇒ ¼ = Q14
∴ Q1 = (1/4)1/4
∴ अन्तःचतुर्थक श्रेणी Q3 – Q1 का मान (3/4)1/4 - (1/4)1/4 है।
Last updated on Jul 14, 2025
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