The Standardized Gaussian PRNG Produces Gi and the PRNG Value $Y _ { i }$

question 1

Essay

The standardized Gaussian PRNG produces Gi and the PRNG value $Y _ { i }$ is uniformly distributed over [0,1).If $\mathrm { G } _ { i } \text { and } Y _ { i }$ are independent, what is the mean and variance of $Z _ { i } = 2 G _ { i } + 4 Y _ { i } - 1$

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Definitions:

Zimbardo Study

A psychological experiment conducted by Philip Zimbardo in 1971 examining the effects of perceived power, focusing on the struggle between prisoners and prison guards.

Ethical Issues

Concerns or dilemmas that involve moral principles and impact decisions and actions in various fields, such as medicine, technology, business, or research.

Stanley Milgram

A psychologist best known for his controversial experiment on obedience, demonstrating people's willingness to follow authority figures' orders, even to the extent of harming others.

Empathetic

Having the ability to understand and share the feelings of another person, showing empathy.