Let's start by recalling that the negative binomial distribution with parameters m and p has probability mass function:
f(x; m, p) = (x+m-1) choose [tex]x (1-p)^mp^x[/tex]
for x = 0, 1, 2, ...
To find the UMVUE for [tex](1-p)^r[/tex], we need to find an unbiased estimator that depends only on the sample X1, X2, ..., Xn and that has the smallest possible variance among all unbiased estimators.
Since [tex](1-p)^r[/tex] is a function of 1-p, we can use the method of moments to find an estimator for 1-p. Specifically, the first moment of the negative binomial distribution with parameters m and p is:
[tex]E[X] = \frac{m(1-p)}{p}[/tex]
Solving for 1-p, we get: [tex]1-p = \frac{m}{(m+E[X])}[/tex]
Now, let's substitute θ = (1-p) into this expression to get:
θ = (1-p) = [tex]1-p = \frac{m}{(m+E[X])}[/tex]
We can use the above expression to construct an unbiased estimator of θ as follows:
θ_hat = [tex]= \frac{1-m}{(m+X_{bar} )}[/tex],
where X_bar is the sample mean.
Now, let's express [tex](1-p)^r[/tex] in terms of θ:
[tex](1-p)^r = θ^r[/tex]
Using the above estimator for θ, we can construct an unbiased estimator for [tex](1-p)^r[/tex] as follows:
[tex](1-p)^{r_{hat} } = (\frac{1-m}{m+X_{bar} } )^{r}[/tex]
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sin^2A+cos^2A=? .find the value.
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
HELP AND WILL GIVE BRAINLIEST!!! Solve for x
Answer:
let the opposite angle of 43=y
57°+43°+y=180°[by sum of all angle is 180°]
100+y=180°
y=180°-100
y=80°
opposite angle of x is equal to the 80°
so the equation will be like this
x+x+80°=180°
2x+80°=180°
2x=180°-80°
2x=100
x=100/2
x=50°
so the value of x is 50°
The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P
Answer:
sorry I dont know
Step-by-step explanation:
I do not know
Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?
Answer:
Yes
2*2*2*2*2*2=64
so that is a much better deal than the original 40$
Step-by-step explanation:
Which of the linear solution has no solution?
Answer:
c
Step-by-step explanation:
it will eventually cancel
Can you guys help me!!!
Answer:
I guess its the 3rd one not sure
This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.
ASAP BEFORE 11:59
Answer:
whats the question
Step-by-step explanation:
thats the answer
Please help me to solve the 7th part !
Answer:
i don't know
Step-by-step explanation:
sorry sorry sorry berry much
what is the standard form of (-2/3)x - 4
( slope intercept )
Answer:
m=0,b for -2/3 x-4
Step-by-step explanation:
..........
A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?
The area of the parking lot is 4606 square meter.
What is parallelogram?
It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.
What is the area of parallelogram?
The area of a parallelogram is the product of its base and height.
We have,
length of two adjacent sides are 70meters and 100meters.
And base of parallelogram is 70m. (length of parallelogram is its base)
Angle between the adjacent sides is 70 degrees.
Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.
For the height of the parallelogram
In ΔADE, we have
[tex]sin70=\frac{DE}{AD}[/tex] [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]
⇒ [tex]0.9397=\frac{h}{70}[/tex]
⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]
⇒ h=65.8m
Formula to find the area of parallelogram:
Area= base× height
so, the area of parking lot=base × height
substitute the value of base and height of the parallelogram in the above formula.
Therefore,
[tex]Area=65.8[/tex]×[tex]70[/tex]
[tex]Area=4606m^{2}[/tex]
Hence, the area of the parking lot is 4606 square meter.
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Factor the GCF: 6x^2 + 3x + 9 *
Answer:
3(2x² + x + 3)
Step-by-step explanation:
zzzzzzzzzzzzzzz
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?
A. 11%
B. 18%
C. 90%
D. 98%
Answer:
90%
Step-by-step explanation:
18/20 × 100 = 90%
I hope this helps!
Answer:
Sean answered 90% of the questions in the quiz correctly
oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ
Un reloj marca las 4:55 horas . Que valor tiene el ángulo que forman las manecillas? Escribe tu resultado considerando el ángulo positivo y el ángulo negativo.
Answer: what does this say please help
Step-by-step explanation:
Evaluate (49/64) ^1/2 write it as a fraction
Answer:
7/8
Step-by-step explanation:
Get rid of the ( )
put the 49/64 into a √ sq root and it cancels out the 1/2
49/64 whats the square root of 49? 7 Ss root of 64 is 8
7/8
9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?
Answer:
6 days.
Step-by-step explanation:
Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:
X / 6 = 4
X = 4 x 6
X = 24
24/4 = 6
Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.
plzz write with formula and explanation plzzzzzzzz
Given:
[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].
To find:
The unknown number.
Solution:
Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].
[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]
[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]
Multiply both sides by 16.
[tex]-33=-44x[/tex]
Divide both sides by -44.
[tex]\dfrac{-33}{-44}=x[/tex]
[tex]\dfrac{3}{4}=x[/tex]
Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].
COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help
Answer:
1) 3024 ways
2) 40320 ways
3) 5040 ways
Step-by-step explanation:
1) there are 3 boys and 6 girls. Thus, total number = 9 people.
There are four rows of chairs.
Thus, number of ways of being sitted is;
9P4 = 9!/(9 - 4)! = 3024 ways
2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways
3) since circular arrangement, then number of ways is; (n - 1)!
Thus,answer is; (8 - 1)! = 5040 ways
Hi i need some help on this it will really help
Answer:
He can afford 5 large cheese pizzas.
Step-by-step explanation:
$40 ÷ $7.50 = 5.333333
You cannot buy 1/3 of a pizza, so you round the number to a whole number.
5.333333 ----> 5
5 large cheese pizzas
Answer:
Diego can afford 5 large cheese pizzas.
Step-by-step explanation:
$40 ÷ $7.50 = 5.3333
He cannot buy part of a pizza, so you round it to 5.
what is bigger 6/5 or 4/5?
Answer:
6/5 is bigger
Step-by-step explanation:
6/5 simplifies to 1 and 1/5 which is greater than just 4/5
Answer:
6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.
Step-by-step explanation:
hope this helps
Which inequality has a closed circle when it is graphed on a number line?
x greater-than 0.4
x greater-than negative 3
x less-than 4
x greater-than-or-equal-to 3
Answer:
Less than 4 I guess??
This part I have scribbled so I can answer
no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh
Answer:
D
Step-by-step explanation:
Help please
3 |X-4| +1 = 19
please help me with this
Answer: A. 2[tex]\sqrt[3]{6}[/tex]
Step-by-step explanation:
10/27=a/135
what is the answer for this equation?
Answer:
So we have this equation:
10/27 = a/135
What we can do is multiply both sides by 27 and 135:
10*135 = a * 27
1350 = 27a
a = 1350/27. = 50.
please help me out please
Answer:
Distance formula = √(x2 - x1)^2 + (y2 - y1)^2
Step-by-step explanation:
(-2, 6) to (3, -2)
3 + 2 = 5^2 = 25 + 64 = 89.
√89
Help me out
Length = m
[tex]perimeter = a + b + c[/tex]
[tex]perimeter = 4 + 3 + c[/tex]
//
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]
[tex] \sqrt{25} = 5[/tex]
[tex]c = 5 \: meters[/tex]
//
[tex]perimeter = 4 + 3 + 5[/tex]
[tex]perimeter = 12 \: meters[/tex]
//
[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]
Find the value of x.
I will give brainliest if you get it right!, please double check your work! Thannks!
Answer:
36 degrees
Step-by-step explanation:
There's 180 degrees in a triangle.
Since they're supplementary angles, we do 180-142=38.
We now know that 106+38+x=180.
Solve for x: x=36
In triangle KLM, the measure of angle M is 90 degrees, the measure of angle K is 75 degrees, and LM is equal to 6.3 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
6.5feet
Step-by-step explanation:
Using the SOH CAH TOA identity
<K = 75 degrees
opposite = LM = 6.3 feet
Hypotenuse = KL
sin theta = opp/hyp
sin 75 = 6.3/x
x = 6.3/sin75
x = 6.3/0.9659
x = 6.5feet
Hence the length of KL to the nearest tenth of a foot is 6.5feet
numero de horas que duerme cual es la variable cualitativa?
Answer:
El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal
Step-by-step explanation:
Please Help!! I will give Brainliest to the correct answer!!
Evaluate 12.3s +11.9t when s= 3 and t = 4
Thank you so much
Answer:
84.5
Step-by-step explanation:
12.3(3)+11.9(4)=84.5
Answer:
87.5
Step-by-step explanation:
12.3 x 3= 39.9=s
11.9 x 4= 47.6=t
47.6 + 39.9= 87.5
In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.
Answer:
a. 3g + g = 53
b. 40 boys and 13 girls
Step-by-step Explanation:
(3g = number of boys)
(g = number of girls)
3g + g =53
4g = 53
g = 13.2
53 - 13.2 = 39.8 (boys)
we round to the nearest tenth on both
girls 13.2---13
boys 39.8---40