Write the prime factorization of the number. (49 and 50)

Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and

ryzh [129]

Answer:

a) X1+X2 have distribution Bi(n1+n2, p)

b)

P(X1+X2 = 1 | X2 = 0) = np(1-p)ⁿ¹⁻¹

P(X1+X2 = 1| X2 = 1) = (1-p)ⁿ¹

P(X1 + X2 = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

Step-by-step explanation:

Since both variables are independent but they have the same probability parameter, you can interpret that like if the experiment that models each try in both variables is the same. When you sum both random variables toguether, what you obtain as a result is the total amount of success in n1+n2 tries of the same experiment, thus X1+X2 have distribution Bi(n1+n2, p).

b)

Note that, if X2 = k, then X1+X2 = 1 is equivalent to X1 = 1-k. Since X1 and X2 are independent, then P(X1+X2 = 1| X2 = K) = P(X1=1-k|X2=k) = P(X1 = 1-k).

If k = 0, then this probability is equal to P(X1 = 1) = np(1-p)ⁿ¹⁻¹

If k = 1, then it is equal to P(X1 = 0) = (1-p)ⁿ¹

Thus,

P(X1+X2 = 1) = P(X1+X2 = 1| X2 = 1) * P(X2=1) + P(X1+X2 = 1| X2 = 0) * P(X2 = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

4 0

3 years ago

Who can answer this??

Alex Ar [27]

<h2>Answer:</h2><h3>Answer below in description:</h3><h2>Step-by-step explanation:</h2>

Ths question is not complete but I will try my best to guide you through it so you can answer it. So what the question is asking you to do is that you have to plug in the coordinates into the equation. I don't want to give you an incorrect answer so I will explain it and you can do it yourself with the full question. First use the second equation as it is a full equation with an equal sign. Once plugged in you can find that c and d do not make the second equation true. A and B both complete the second equation. This means that either A or B is the answer. Since the first equation does not have an equal sign meaning it is not complete I can not answer it and I am sorry. But I have cut the answer down for you to A and B. If this answer helped you in the slightest please check out my channel The Game Rater. Thank you and I appreciate it.

<h3><em>-The Game Rater(Nitroid444)</em></h3>

7 0

3 years ago

The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 18

Alekssandra [29.7K]

Answer:193

Step-by-step explanation:193

7 0

3 years ago

A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop

BARSIC [14]

Answer:

around 6.6 years

Step-by-step explanation:

41,500=14,000*.45*x

41,500=6,300*x

41,000/6,300=x

6.5873=x

6.6=x

hope this helps!

3 0

3 years ago

A landscaping company is delivering crushed stone to a construction site .The Table shows the total weight in pounds W, of n loa

irina1246 [14]

Answer:

Option (C)

Step-by-step explanation:

From the given table,

Dependent variable is the weight of each load and independent variable is number of loads of crushed stones.

Let the equation that represents the total weight is,

W = mn + b

Where 'm' = slope of the line

b = y-intercept

n = number of loads

Since graph starts from the origin (0, 0), y - intercept 'b' will be 0.

Two points lying on the line are (0, 0) and (1, 2000)

Slope of the line 'm' = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{2000-0}{1-0}$

=2000

Therefore, equation will be,

W = 2000n

Option (C) will be the answer.

3 0

3 years ago