Question

math

4. According to Pew Research, 70% of Generation Z Americans (those aged 13 to 21 in 2018) believe "government should do more to solve problems." I select two Generation Z Americans at random. Let X be a discrete random variable representing the number of the people I Generation Z Americans is very large, X will have very close to a binomial distribution. (a) Find P(X 0), P(X 1), and P(x-2) b) Write down an expression for F(y), the cumulative distribution function (CDF) of X for all y-values from-0o to o (c) Find the expected value of X.

Answer 1

here given n=2, the main difficulty is to find CDF of binomial which is not in closed form therefore we can find numerically as described in part b. for part c we know that E[X] =n*p for binomial distribution.