Suppose Y i ,i = 1,2,..., n, are i.i.d. random variables, each distributed N (10,4). a. Compute Pr(9.6 11eb9b5b_3ce0_3de1_bf3e_bbc1f20412ec_SM2686_11 10.4) when (i) n = 20, (ii) n = 100, and (iii) n = 1,000. b. Suppose c is a positive number. Show that Pr(10 - c 11eb9b5b_3ce0_3de2_bf3e_a11babefa14d_SM2686_11 10 + c) becomes close to 1.0 as n grows large. c. Use your answer in (b) to argue that 11eb9b5b_3ce0_64f3_bf3e_91b69f2106eb_SM2686_11 converges in probability to 10.

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

النسخة 3الرقم المعياري الدولي: 978-9352863501

النسخة 3الرقم المعياري الدولي: 978-9352863501

تمرين 26

Suppose Y i ,i = 1,2,..., n, are i.i.d. random variables, each distributed N (10,4).
a. Compute Pr(9.6

10.4) when (i) n = 20, (ii) n = 100, and (iii) n = 1,000.
b. Suppose c is a positive number. Show that Pr(10 - c

10 + c) becomes close to 1.0 as n grows large.
c. Use your answer in (b) to argue that

converges in probability to 10.

التوضيح

موثّق

Random variables refers to the value of ...