Answer:
e. 11.11
Step-by-step explanation:
We use the negative binomial distribution to solve this question.
The mean of the negative binomial distribution is the average number of trials required to produce r sucesses, with p probability. Mathematically, this is described by the following formula:
![\mu = \frac{r}{p}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7Br%7D%7Bp%7D)
In this problem, we have that:
Approximately 9 percent of the residents of a large city have seen a certain theater production that is currently playing in the city. This means that ![p =0.09](https://tex.z-dn.net/?f=p%20%3D0.09)
What is the expected number of residents the researcher will need to ask to find someone who has seen the production?
This is
when r = 1. So
![\mu = \frac{r}{p}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7Br%7D%7Bp%7D)
![\mu = \frac{1}{0.09}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7B1%7D%7B0.09%7D)
![\mu = 11.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%2011.11)
So the correct answer is:
e. 11.11
Answer:
-4
Step-by-step explanation:
('+')('-') = ('-')
Therefore,
(+2)(-2) = (-4)
You roll a 6 sided die, and am trying to get a number 3. You have a 1/6 chance of getting the number
The probability of getting a heads tossing a coin is half, because there is only two sides.
Multiply the two fractions together:
1/6 x 1/2 = 1/12
B) 1/12 is your answer
hope this helps
Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,
![area = base \times height](https://tex.z-dn.net/?f=area%20%3D%20base%20%5Ctimes%20height)
Let base = 9,
Let height = 3,
![area = 9 \times 3 \\ area = 27 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%209%20%5Ctimes%203%20%5C%5C%20area%20%3D%2027%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
Triangle,
![area = \frac{1}{2} \times base \times height](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5Ctimes%20height)
Let base = 3,
Let height = 3,
![area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%203%20%5Ctimes%203%20%5C%5C%20area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%209%20%5C%5C%20area%20%3D%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%5C%5C%20area%20%3D%204.5%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
![area = 27 - 4.5 \\ area = 22.5 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%2027%20-%204.5%20%5C%5C%20area%20%3D%2022.5%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)