Y i ,i = 1,..., n , are i.i.d. Bernoulli random variables with p = 0.4. Let 11eb9b5b_3ce6_7fa4_bf3e_5be1477d9133_SM2686_11 denote the sample mean. a. Use the central limit to compute approximations for i. Pr( 11eb9b5b_3ce6_a6b5_bf3e_0d90e68d9c3b_SM2686_11 0.43) when n = 100. ii. Pr( 11eb9b5b_3ce6_cdc6_bf3e_c723ec9969ae_SM2686_11 0.37) when n = 400. b. How large would n need to be to ensure that Pr(0.39 11eb9b5b_3ce6_f4d7_bf3e_03d7d0d26dfb_SM2686_11 0.41) 0.95 (Use the central limit theorem to compute an approximate answer.)

Introduction to Econometrics 3rd Edition by James Stock, James Stock

النسخة 3الرقم المعياري الدولي: 978-9352863501

النسخة 3الرقم المعياري الدولي: 978-9352863501

تمرين 30

Y i ,i = 1,..., n , are i.i.d. Bernoulli random variables with p = 0.4. Let

denote the sample mean.
a. Use the central limit to compute approximations for
i. Pr(

0.43) when n = 100.
ii. Pr(

0.37) when n = 400.
b. How large would n need to be to ensure that Pr(0.39

0.41) 0.95 (Use the central limit theorem to compute an approximate answer.)

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It is provided that are i.i.d. Bernoull...