Question

Statistics

12. Confidence Interval for a population proportion with a 99% confidence level

Verified

### Question 37038

Statistics

Let {X1, X2,...XN} be a random sample where each random variable X, has a PDF given by
f(x)=\frac{1}{(\lambda+\mu)} e^{\frac{1}{2}[-(\operatorname{sign}(x)+1)(x / \lambda)+(\operatorname{sign}(x)-1)(x / \mu)]}
\operatorname{sign}(x)=\left\{\begin{array}{rr} 1, & x \geq 0 \\ -1, & x<0 \end{array}\right.
where the sign function is defined as
and N denoting an integer, and the parameters , µ satisfying 1 > 0, µ > 0.In the followings provide complete derivations and explanations of results.
a) Find the likelihood function and the log-likelihood function for the parameters 1,µ
b) Find Maximum Likelihood (ML) estimators for the parameters 1, u.
c) Determine if these ML estimators are unbiased for N = 1.

### Question 33214

Statistics

How many ways can 4 pairs of socks be chosen from 16 pairs?
O 1820
O 496
O43680

### Question 33213

Statistics

How many subsets of {1,2,.... 20} have three elements?
O 5814
01140
O 969
O 6840

### Question 33212

Statistics

Suppose there are eight different colors of flowers in a flower vase. How many different ways we select three different colors of flowers from the vase?
0 6720
O 336
06
56O 56

### Question 33209

Statistics

How many eight-digit integers are there that do not contain repeated digits?
O 10-9 8 7-6 5-4-3
09.9.8-7-6 5 4-3
O P(10, 8)
O P(9, 8)

### Question 33207

Statistics

How many 2-permutations of {a, b, c, d)?
O 12
O 24
O 10
O 35

### Question 33206

Statistics

How many permutations of the letters ABCDEFG contain the string "BC" and "FG'as a substrings?
O 120
0720
O 2520

### Question 33205

Statistics

How many permutations of the letters ABCDEFG contain the string "ABC as a substring?
O 5040
0 120
O 24
0720

### Question 33204

Statistics

How many different order can there a set with {a, b. c. 4. 5. Š}?
O 120
O 1040
0720
O 24

### Question 33203

Statistics

How many numbers from the set of integers between 1 and 1000, inclusive, are divisible by 2 or 5.
O 600
O 500
O 300
0400