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Math 4. According to Pew Research, 70% of Generation Z Americans (those aged 13 to 21...

Question

Math 4. According to Pew Research, 70% of Generation Z Americans (those aged 13 to 21...

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.

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.

Answers

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. (I- b) (0 o) (0-30 (070) 2-0.49 Fly) 2 Fjlo구) (0.3)


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