Bernoulli Random Variables 1 2.5 / 2.5 points Say you observe n independent Bernoulli random variables with a probability of success 0.2. Let X represents the sample mean of these n random variables. You observe n = 5 random variables. If you build the confidence interval as X - 1 x(1-X) XXX(1-x ) 5 How often (in probability) does the confidence interval cover 0.2? Keep in mind that 5 is too small to use the central limit theorem. 0.6144 2 2.5 / 2.5 points You observe n = 5 random variables. If you build the confidence interval as X - 1.5 0.2(1- 0.2) , X + 1.51 0.2(1-0.2) 5 How often (in probability) does the confidence interval cover 0.2? Keep in mind that 5 is too small to use the central limit theorem. 0.9421