Answer:
4:25:6 would be the simplest form
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is Fifty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.
x 0 1 2 3 4
px(x) 0.1 0.2 0.3 0.25 0.15
Required:
a. What is P(X = 4, Y = 2)?
b. Calculate P(X = Y).
Answer:
Step-by-step explanation:
From the information given:
X represent no of Canon SLR
The pmf is given as:
X 0 1 2 3 4
p(x) 0.1 0.2 0.3 0.25 0.15
p = P(customers that purchase the camera & also purchase an extended waranty.
As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.
[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]
The condition probabilities Y given X is:
[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]
[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]
Now, the joint P.D (probability Dist.) of X & Y is expressed as:
[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]
The Joint P.D is;
Y Total
0 1 2 3 4
X 0 0.1 0 0 0 0 0.1
1 0.09 0.11 0 0 0 0.2
2 0.06075 0.1485 0.09075 0 0 0.3
3 0.022781 0.083531 0.102094 0.041594 0 0.25
4 0.006151 0.030071 0.055131 0.044921 0.013726 0.15
Total 0.279682 0.372103 0.247974 0.086515 0.013726 1
(a)
P(X=4,Y=2)
From the table above:
P(X=4,Y=2) = 0.055131
(b)
[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]
During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?
Answer:
Most snow- 3 1/2 inch least snow, 1/2 inch
Step-by-step explanation:
What is the value of the expression 13/4 (8)? *
Answer: 26
(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26
Step-by-step explanation:
20. Find the volume of the hemisphere in terms of pi. Round to the nearest whole number. 5 in 5 in
Answer:
Step-by-step explanation:
Someone come help him out
Work out and simplify where possible 3/5+7/8
Find the distance between the two points rounding to the nearest tenth (8,7) and (1,-2)
Answer:
11
Step-by-step explanation:
The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,
⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]
⇒ D = √ [ (8-1)² + (7+2)² ]
⇒ D = √ [ 7² + 9² ]
⇒ D = √ [ 49 + 81 ]
⇒ D = √ 130
⇒ D = 11.401 units
Rounding off we have , 11.401 ≈ 11 units .
Hence the required answer is 11 units
Answer choices
10%
30%
25%
No links no links I will report
Brainliest for correct answer asap
Evaluate (3.68)²26705
55
Answer:
I am sorry I need points I am really sorry
Answer:
Step-by-step explanation:
0.0000368
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer: 20 meters
Step-by-step explanation:
A= w l
A= A /w = 600/30 = 20m
L= 20 m
The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first
number and let b represent the second number. What are the two numbers? Use the table to answer the question.
Numbers
а
b
a+b=39
Check
b-za+6
20
19
39
39
22
24
26
17
15
39
39
13
20 and 19
22 and 17
24 and 15
Answer:
17 and 22 edge 2021
Step-by-step explanation:
find the measure for the angle of theta
Answer:
A.
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = θ
Side Adjacent to θ = 8
Hypotenuse = 15
Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.
Thus:
Cos θ = Adj/Hyp = 8/15
Cos θ = 0.5333
θ = Cos^{-1}(0.5333)
θ = 57.7713051°
θ = 57.8° (to nearest tenth)
1. Find the area of a circle with a diameter of 7
cm (Round to the nearest hundredth)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
38.48
Step-by-step explanation:
Formulas:Area of a circle = [tex]\pi r^2[/tex]
r = [tex]\frac{1}{2}[/tex] diameter
Steps:[tex]\pi (7/2)^2[/tex] [tex]\pi (3.5)^2[/tex] 38.4845.... Thus, our final answer rounded to the nearest hundredth is 38.48 :) Hope this helps!−28 = 7b
Solve for b
Tell what you did to find b
Answer:
b= -4
Step-by-step explanation:
Which equation can be used to solve for x in the following diagram
Answer:
c) 5x + 13x = 180
Step-by-step explanation:
c) 5x + 13x = 180
c) 5x + 13x = 180
In a survey of 1012 adults, a polling agency asked, "When you retire, do you think you will have enough money to live comfortably or not. Of the 1012 surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.
Answer:
%52.87
Step-by-step explanation:
:)
A box contains 2 blue markers, 5 green markers and 3 yellow markers. What is the probability of drawing a blue marker, replacing it, then drawing a yellow marker?
Write as a fraction in simplest form
Answer: 2/3
Step-by-step explanation 5/15 is the probability of blue marble will get picked but if simple form will be 2/3
Can someone help me pls
Answer:
50.2 in.
Step-by-step explanation:
To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.
Here, only the radius is displayed.
8 ⋅ 2 = 16.
16 is the diameter.
Now we can multiply the diameter by pi to get the circumference.
16 ⋅ 3.14 = 50.24
50.24 rounded to the nearest tenth is 50.2
Again, the formula for circumference is diameter ⋅ π (pi).
Therefore, 50.2 in. is the circumference of this circle.
A boy collects a total of 316 stamps, stickers and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?
Answer:
270 i tink it is the answer
184 Answer:
Step-by-step explanation:
4 times as
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 8x
Step-by-step explanation:
Since slope is 8/1 which is equal to 8 and x-intercept is 0.
Put these in slope-intercept equation i.e y = mx + b
Answer:
Y=8x
Step-by-step explanation:
You have to calculate the slope. Delta y over delta x
• A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?
Answer:
Step-by-step explanation:
so you want to know the formula for the volume of a cylinder
volume (cylinder) = area of the circular base * height
2279.64 = area of a circle + height
area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
they tell us the radius is 11 feet so r = 11
circle = [tex]\pi[/tex][tex]11^{2}[/tex] = 38013271
2279.64 = 38013271 * height
2279.64 / 38013271 = height
5.996958 = height in feet
4. A system of equations is shown below.
5x + 2y = - 15
2x-2y= -6
What is the solution to the system of equations?
Answer:
first one is x=-15-2y/5
second one x=y-3
Step-by-step explanation:
Which of the following options has a distance of 12 city blocks? Select three that apply.
Answer:
E
F
D
Step-by-step explanation:
That's what I am sorry if its wrong
Answer:
C, E and F
Step-by-step explanation:
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n
Answer:
2\6 is the ratio
Step-by-step explanation:
brainliest pls
step by step explenation
thank you
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angle VUX and angle WXU
are alternate interior angles
hope it helps
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,10,20
9514 1404 393
Answer:
r = 2
Step-by-step explanation:
The first differences between successive terms are ...
10 -5 = 5
20 -10 = 10
The differences are not constant, so the sequence is NOT arithmetic.
__
The ratios of successive terms are ...
10/5 = 2
20/10 = 2
The ratios are constant, so the sequence is ...
geometric with a common ratio of 2.
Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo?
Answer:
90(x)+50
Step-by-step explanation:
Because you are multiplying 90 by however many hours and adding a 50 dollar fee
If sin x=3/4,then cos x
Which statements are true about the expression that y +92 Choose ALL that apply.
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
A, C, D, and F
BRAINLIEST!!!!!
PLEASE HELPP
NO FILE HOSTING LINKS
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
Answer:
the answer is 2.4 miles per day