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Q44Section DA (Data Science and Artificial Intelligence (Q11–Q65))44 of 65

Variance of a transformed Bernoulli times Normal variable

Let XX and YY be two independent random variables. XX follows Bernoulli(p=0.3)Bernoulli(p = 0.3) distribution and YY follows Normal(μ=0,σ2=100)Normal(\mu = 0, \sigma^2 = 100) distribution. Which of the following options is the variance of (2X−1)Y(2X - 1)Y ?

Options

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