1. (Not to turn in.) Do problems 81, 83, 89, and 97 from Chapter XXXXXXXXXXTo turn in.) Turn in problems ty, 8422,8yand 104 from Chapter 9. in.) Suppose theta 0.9 and X, = 0.8 are two independent...

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1. (Not to turn in.) Do problems 81, 83, 89, and 97 from Chapter 9. 2. (To turn in.) Turn in problems ty, 8422,8yand 104 from Chapter 9. in.) Suppose theta 0.9 and X, = 0.8 are two independent observations front t e distribution kith probability density function
Al
fix) = 2zet +1 — a, 0

4. (To turn in.) We run a binomial experiment where the probability of success p is known to be a multiple of 1/6. Find the MLE for p if we observe 10 successes in 25 trials. (Hint: Keep in mind that the MLE must be a possible value for p.)


Answered Same DayDec 26, 2021

Answer To: 1. (Not to turn in.) Do problems 81, 83, 89, and 97 from Chapter XXXXXXXXXXTo turn in.) Turn in...

Robert answered on Dec 26 2021
138 Votes
The probability density function is
F (x) = 2xα+1-α
( ) ∏(
)
Taking log on both sides, we h
ave
( ( )) ∑ ( )


( )
For X1 = 0.9 and X2 = 0.8, we have
= 0.255 + 0.204
...
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