The cumulative frequency function of a discrete variable X in group A is given by x < 12 12 < x < 32 32 < x < 48 48 ≤ x The cumulative frequency function of the same variable in group B is given by x < 32 32 ≤ x < 48 48 < x < 75 75 ≤ x Consider the mixture of the two distributions, i.e., the distribution of the same variable when the two groups are combined into one larger group, oup AB. Assume the weight of group A is 0.48. Enter below the variance of the distribution (of variable X in group) AB. FA(x) = = FB(x) = 0.1. 0.699, 1, 0, 0.151, 0.699,

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What is the variance of the distribution of variable X in group AB

The cumulative frequency function of a discrete variable X in group A is given by
x < 12
12 ≤ x < 32
32 < x < 48
48 ≤ x
The cumulative frequency function of the same variable in group B is given by
FA (X) =
=
0,
0.1,
0.699,
1,
0,
x < 32
0.151,
32 < x < 48
0.699,
48 ≤ x < 75
1,
75 ≤ x
Consider the mixture of the two distributions, i.e., the distribution of the same variable when the two groups are
combined into one larger group, group AB.
Assume the weight of group A is 0.48.
Enter below the variance of the distribution (of variable X in group) AB.
FB (X)
Transcribed Image Text:The cumulative frequency function of a discrete variable X in group A is given by x < 12 12 ≤ x < 32 32 < x < 48 48 ≤ x The cumulative frequency function of the same variable in group B is given by FA (X) = = 0, 0.1, 0.699, 1, 0, x < 32 0.151, 32 < x < 48 0.699, 48 ≤ x < 75 1, 75 ≤ x Consider the mixture of the two distributions, i.e., the distribution of the same variable when the two groups are combined into one larger group, group AB. Assume the weight of group A is 0.48. Enter below the variance of the distribution (of variable X in group) AB. FB (X)
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