Answer:
The expected cost is 152
Step-by-step explanation:
Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y
if
and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)
Recall that, by definition

Also, we are given that
. Recall the following properties of the expected value. If X,Y are random variables, then

Then, using this property we have that
.
Thus, we must calculate E[Y] and E[Y^2].
Using the definition, we get that
![E[Y] = \int_{1}^{5}\frac{y}{4} dy =\frac{1}{4}\left\frac{y^2}{2}\right|_{1}^{5} = \frac{25}{8}-\frac{1}{8} = 3](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%20%5Cint_%7B1%7D%5E%7B5%7D%5Cfrac%7By%7D%7B4%7D%20dy%20%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%5Cfrac%7By%5E2%7D%7B2%7D%5Cright%7C_%7B1%7D%5E%7B5%7D%20%3D%20%5Cfrac%7B25%7D%7B8%7D-%5Cfrac%7B1%7D%7B8%7D%20%3D%203)
![E[Y^2] = \int_{1}^{5}\frac{y^2}{4} dy =\frac{1}{4}\left\frac{y^3}{3}\right|_{1}^{5} = \frac{125}{12}-\frac{1}{12} = \frac{31}{3}](https://tex.z-dn.net/?f=E%5BY%5E2%5D%20%3D%20%5Cint_%7B1%7D%5E%7B5%7D%5Cfrac%7By%5E2%7D%7B4%7D%20dy%20%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%5Cfrac%7By%5E3%7D%7B3%7D%5Cright%7C_%7B1%7D%5E%7B5%7D%20%3D%20%5Cfrac%7B125%7D%7B12%7D-%5Cfrac%7B1%7D%7B12%7D%20%3D%20%5Cfrac%7B31%7D%7B3%7D)
Then

Answer:
0.509
Step-by-step explanation:
Given that a random sample of 1016 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?"
Of the 1016 adults surveyed, 517 indicated that televisions are a luxury they could do without.
To find out the point estimate of population proportion of adults in the country who believe that televisions are a luxury they could do without.
We find that point estimate is nothing but sample proportion
Sample proportion = favourably voters/total people surveyed
= 
Since the centre of dilatation is the origin, we only require to multiply each of the coordinate points by the scale factor 3
(- 2, 1 ) → ( - 6, 3 )
(- 2, 3 ) → (- 6, 9 )
(1, 2 ) → (3, 6 )
(1, 3 ) → (3, 9 )
x = 4
Simplifying the equation...
2(2) + 2x - 12 = 0, 2x - 8 = 0, x = 4
Answer:
ФΔHello wonderful personΔФ
Your answer should be:
$235,000
$200,000×0.175 = 35,000+ 200,000
Step-by-step explanation:
<h2>First answer!!!</h2><h3>Please mark brainliest≅</h3><h3>Have a great day!</h3>