Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
A similar problem is given at https://brainly.com/question/20709747
Don’t mind answers in boxes
An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. The drain pipe can be used to empty the pool in 34 hours. If the pool is [tex]\frac{2}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
Answer:
374 hoursStep-by-step explanation:
Filling rate is 1/33Draining rate is 1/34The difference is the filling rate with both lines open:
1/33 - 1/34 = 1/1122The pool is 2/3 full and needs filling the remainder, 1/3.
Time required to fill:
1/3 : 1/1122 = 1122/3 = 374 hoursStudent Council sells bottled water at the cheerleading completion. At this rate, how many cases of bottled water would they sell in 3 hours? ________________________
Cases Sold: 3 and 6
Time (minutes): 20 and 40
Answer:
27
Step-by-step explanation:
Lets find the rate of selling:
Let v= the rate of selling, b = number of bottles of water, and t = time:
b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:
3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:
(0.15) * 180 = 27 bottles of water
HELP ME OUT PLEASE
Do they have the same slope? Why or why not?
4%*57+(7654*34562)-68+1-213=?
Step-by-step explanation:
264537270.28
ok..... oddly..
3
Parallel to y = - -*+2 and goes through the point (5, -7)
S
please help it’s due next period
e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.
From the combined standard deviation, with the mean, and standard
deviation of the data sets, the required variance can be found.
[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]Reasons:
The given data information are;
Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0
Standard deviation of the the first set, σ₁ = 4.0
Sample size of second observation, n₂ = 20
Mean of second sample, [tex]\overline x_2[/tex] = 10
Standard deviation of the combined set, σ₁₂ = 3.0
Sample size of combined set of observation, n₂ = 35
Solution:
The number of elements in the second sample, n₁ = 35 - 20 = 15
The standard deviation of the combined set is given by the formula;
[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]
Where;
[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]
Therefore;
[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]
d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]
[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]
d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]
[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]
Therefore;
[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]
Solving gives;
[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]
[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]
Learn more here:
https://brainly.com/question/16869429
A theme park has a Ferris wheel that takes 2 minutes to go around its 450-foot circumference. The equation · (130) = 450 relates the speed of the Ferris wheel to its circumference. What exactly does represent?
Answer: The Ferris wheel’s speed in feet per hour.
Step-by-step explanation:
An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 hours. If the pool is [tex]\frac{1}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
_____________ hours
Answer:
40 hoursStep-by-step explanation:
Rate of filling is 1/15Rate of draining is 1/20If both lines are open the rate of filling is:
1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hourSince tank is 1/3 full we need to fill the remaining 2/3 of it.
Time required:
2/3 : 1/60 = 2/3*60 = 40 hoursPokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
Pokyaa is 31 years, 6 months, while Afriyie
is 20 years, 6 months
The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that the age of Pokyaa is P while the age of Afriyie is A.
As per the given,
Pokyaa is 11 years older than Afriyie
Therefore, P = 11 + A
Altogether P + A = 52
Substitute,A = 52 - P into P = 11 + A
P = 11 + (52 - P)
P = 11 + 52 - P
P + P = 63
2P = 63
P = 32.5 ⇒ 31 years and 6 months.
Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
17 21 14 17 12 15 16 mean
Answer:
17+21+14+17+12+15+16 / 7 and the answer is 16
Step-by-step explanation:
STEP N0#1 add all the data/ numbers together
STEP NO#2 divide the sum you got by the number of data points/ number
the number you get after dividing is the mean
Please answer will mark BRAINILEST!!
Answer:
Coordinates A and B: (1, 0) and (3, 0)
Coordinates of P: (0, 3)
Coordinates of Q: (2, -1)
Step-by-step explanation:
You're pretty much given the x-intercepts from the original equation.
y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,
0 = (x - 1)(x - 3).
and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:
0 = (1 - 1)(1 - 3)
0 = 0 * (-2)
So there are your x-intercepts, points A and B.
Now,
Expand the brackets of the equation.
y = (x - 1)(x - 3) becomes
y = x^2 - 4x + 3
You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:
y = 0^2 - 4*0 + 3
y = 0 - 0 + 3
y = 3
So, we have our y-intercept (0, 3).
Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a
Taking our expanded equation: x^2 - 4x + 3
which is of the form ax^2 + bx + c
So we find the values of a, b and c and input the values into the equation
a = 1
b = -4
c = 3
So, inputting these into the vertex equation, gives:
-(-4) / 2 * 1
4 / 2
2
So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:
y = 2^2 - 4*2 + 3
y = 4 - 8 + 3
y = -1
So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).
The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?
A. 35
B. 16
C. 12
D. 6
the 4.1 m of concrete is made into the shape of a cylinder. The base has radios 0.5 metres. work out the height of the cylinder ( photo attached)
Answer:
5.2 metres
Step-by-step explanation:
v = pi. r^2 . h
4.1 = 3.1416 × 0.25 * h
h = 5.22 m
Can you help me plz.
Answer:
Step-by-step explanation:
pls gimme brainliest if im correct
Answer:
7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
convert the fractions to decimals
[tex]\frac{4}{9}[/tex] = .44 so 7.44
[tex]\frac{3}{4}[/tex] = .25 so 7.25
7.77, 7.44, 7.40, 7.25
they look to already be in order.
have a lovely day <3
3. What is 11% of $3,000? • A) $250 e B) $300 • C) $380 • D) $350
Answer:
$330.00
Step-by-step explanation:
Hey there!
The word ‘of’ in math means multiply
And
11% of 3,000
= 11/100 * 3,000
= 11/100 * 3,000/1
= 11(3,000)/100(1)
= 33,000/100
= 33,000 ÷ 100/100 ÷ 100
= 330/1
= 330
Therefore, the answer is most likely: 330
(NONE of the ABOVE)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is the answer of 380 x 690 estimate
Answer:
26200
Step-by-step explanation:
exactly 262200
the flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the of the third angle of the triangle is 40° more than three times the measure of either of the other two angles, find the measure of each the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
The two equal angles are each 36°.
The third angle is 108°.
which number line correctly shows .8 + .3
Answer:
The second line.
Step-by-step explanation:
The line starts off at 0 and goes up to 0.8.
As you can see it goes up .3 more.
.8 + .3 = 1.1
just as 8 + 3 = 11 but with decimals.
C increased by 8 can I get help
Answer:
the answer based on the information provided is c + 8
Step-by-step explanation:
8 added to C is c + 8, since they are unlike terms
A box of candy has 7 red pieces, 3 orange, 2 yellow, and 8 blue pieces. You get to
pick two pieces of candy. If you reach into the box without looking, what is the
probability that you will pick a blue piece, not replace it an then a red piece of
candy?
Evaluate the solid bounded by 2x + z = 2 and (x − 1)^2 + y^2 = z. Sketch the given solid.
Answer:
resuelve la pregunta*
Step-by-step explanation:
tu mamá es mi mamáIf Cindy uses 1
1/2 cups of sugar to make 2 pints of Kool-aid, how much sugar would she need for 5 pints of Kool-aid?
Answer: 3.75
Step-by-step explanation:
5/2=2.5
1 1/2 = 1.5
1.5*2.5=3.75
What kind of question is this? To say you are in college...
PLEASE HELP WITH THIS ONE QUESTION
Step-by-step explanation:
thanks for the 5 points
......
Pls help I’ll brainlest and add extra points
What is the following quotient? 6-3( 3 square root 6/ 3 square root 9
Answer: The last option is the answer
3(3 root 3)-3(3 root 2)
Alex‘s credit card balance is -$200 after a long she makes a payment of $50 towards her bill what integer represents
how much she still owes
Answer: 250
Step-by-step explanation:
i took a test
express the f.f as fraction
0.454545
Answer: 5/11
Step-by-step explanation:
What are the two cases for 丨4x - 1丨= 19?
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5 and -17/4
Step-by-step explanation:
The two equations for 丨4x - 1丨= 19 is
4x-1=19
and
4x-1=-19
So for 4x-1=19
4x=20
x=5
4x-1=-18
4x=-17
x=17/4
Hope this helps!
