Q1)design a hypothetical ideal randomized controlled experiment to study the eff

Question

Q1)design a hypothetical ideal randomized controlled experiment to study the effects of hours spent studying on performance on microeconomics exams. suggest some impediments to implementing this experiment in practice .

Q2))design a hypothetical ideal randomized controlled experiment to study the effects on highway traffic deaths of wearing seat belts.Suggest some impediments to implementing this experiment in practice

Q3) let Y denote the number of "heads" that occur when two coins tossed.

      a) Derive the probability distribution of Y

      b) Derive the cumulative probability distribution of Y

      c) Derive the mean and variance

Q4)  Compute the following probabilities

      a) If Y is distributed N(1,4) find Pr(y ? 3)

      b) if Y is distributed N(3,9) find pr(y>0)

      c) if Y is distributed N (50,25) find pr(40?Y?52)

      d) If Y is distributed N(5,2) find pr(6?Y?8)

Explanation / Answer

(a) Design a hypothetical ideal randomized controlled experiment to study the effect of hours

spent studying microeconomics on performance in exams on microeconomics.

If the class is large enough, one could create blocks 0-1 hour, 1-2 hours, 2-3 hours,

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