In an experiment, there are two boxes. Each box contains balls as shown in Table 2. The event is two select a box randomly and select a ball from the selected box. If the probability of selecting the first box is 0.3, then Calculate the i) Conditional probability distribution and density function. ii) Probability density and distribution functions. iii) Sketch the obtained functions. Ball Box colour number 12 Table 2 Red 10 50 Blue 20 40 White 50 30

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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In an experiment, there are two boxes. Each
box contains balls as shown in Table 2. The
event is two select a box randomly and select a
ball from the selected box. If the probability of
selecting the first box is 0.3, then Calculate the
i) Conditional probability distribution and
density function.
ii) Probability density and distribution
functions.
iii) Sketch the obtained functions.
Ball
Box
colour
number
12
Table 2
Red 10 50
Blue 20 40
White 50 30
Transcribed Image Text:In an experiment, there are two boxes. Each box contains balls as shown in Table 2. The event is two select a box randomly and select a ball from the selected box. If the probability of selecting the first box is 0.3, then Calculate the i) Conditional probability distribution and density function. ii) Probability density and distribution functions. iii) Sketch the obtained functions. Ball Box colour number 12 Table 2 Red 10 50 Blue 20 40 White 50 30
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