Consider the truncated form of the 3-parameter and 3-parameter Beta distribution between 0.2 and 0.8 as a distribution (as in the composition and accept-reject techniques, you need to divide by its area). The probability density function is given as: 2,4 2,2 2,0 1,8 1,6 1,4 1,2 1,0 0,8 0,6 0,4 0,2 0,0 0 I f(x) = 30x² (1-x)².0 x≤1 0,2 0,4 0,6 a) Using the Kolmogorov-Smirnov test, examine whether the following data come from the given truncated probability distribution. 0.36-0.57-0.79-0.21 -0.67 -0.46 ) Develop an accept-reject method using the given trapezoidal dominant function to generate random values from this distribution. Obtain two random values using this method.

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Consider the truncated form of the 3-parameter and 3-parameter Beta distribution
between 0.2 and 0.8 as a distribution (as in the composition and accept-reject
techniques, you need to divide by its area). The probability density function is given as:
2,4
2,2
2,0
1,8
1,6
1,4
1,2
1,0
0,8
0,6
0,4
0,2
0,0
f(x)=30x²(1-x)².0 x≤1
0,2
0,4
0,6
1
0,8
a) Using the Kolmogorov-Smirnov test, examine whether the following data come from
the given truncated probability distribution.
0.36-0.57-0.79 -0.21 -0.67 -0.46
b) Develop an accept-reject method using the given trapezoidal dominant function to
generate random values from this distribution. Obtain two random values using this
method.
Transcribed Image Text:Consider the truncated form of the 3-parameter and 3-parameter Beta distribution between 0.2 and 0.8 as a distribution (as in the composition and accept-reject techniques, you need to divide by its area). The probability density function is given as: 2,4 2,2 2,0 1,8 1,6 1,4 1,2 1,0 0,8 0,6 0,4 0,2 0,0 f(x)=30x²(1-x)².0 x≤1 0,2 0,4 0,6 1 0,8 a) Using the Kolmogorov-Smirnov test, examine whether the following data come from the given truncated probability distribution. 0.36-0.57-0.79 -0.21 -0.67 -0.46 b) Develop an accept-reject method using the given trapezoidal dominant function to generate random values from this distribution. Obtain two random values using this method.
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