Answer:
1)
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
2)
E(X) = 1.5
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it is heads, or it is tails. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is [tex]E(X) = np[/tex].
A fair coin is flipped 3 times.
Fair means that it is equally as likely to be heads or tails, so [tex]p = 0.5[/tex].
3 times means that [tex]n = 3[/tex]
(1) Find the pmf for X;
Probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(2) calculate the expected value of X.
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
what is the name of this triangle
Answer:
right triangle
Step-by-step explanation:has a right angle
Consider the piecewise function. f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus? Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus. Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus. Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus. Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.
Answer:
A) 2 9
Step-by-step explanation:
got it right on edge :) good luck!
Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.
The correct option is (A)
What is piecewise function?Piecewise function is a function built from pieces of different functions over different intervals.
The given function is: f(x)= [tex]\left \{ {{2x, \;\; x < 1} \atop {-4, \;\; x=1} \right \atop {x+8, \;\; x > 1}[/tex]
As, piecewise function is a function built from pieces of different functions over different intervals.
As per the above discussion we can say that,
Take function for limit 1 minus, as f(x) = 2x
put x=1,
f(x)=2, exits.
Take function for limit 1 plus, as f(x) = x+8
put x=1,
f(x)=9, exits.
As both satisfies the definition and part (A)
As well as both limit exist and are not equal.
So, Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus for the given f(x).
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4 3/8 + 5 1/8 = (make sure you simplify the fraction)
Answer:
9 and 1/2
Step-by-step explanation:
4+5=9
3/8+1/8=4/8
4/8=1/2
1/2+9=9 1/2
Answer:
the answer would be 9 1/2
88 divided by 47.84 please help me with this pls I need the process plz
Answer:
1.8394
Step-by-step explanation:
How many sevens in
seven hundre
Among of the following, which has both length and width A.point B.Line C.Plane D.Set
Which two triangles are congruent? Complete the congruence statement.
Answer:
△ VUW = △ KJI
Step-by-step explanation:
In △ VUW, △ KJI,
UW = JI ( Sides are equal )
∠ VUW = ∠ KJI ( From the diagram )
∠ UWV = ∠ KIJ ( From the diagram )
By ASA rule of congruency,
△ VUW is congruent to △ KJI.
F(-4)=
F(-2)=
F(-1)=
Answer:
Step-by-step explanation:
please help pls pls pls
Answer:
volume= πr²h
= 3.14×3×3×12
=339.12
now we substract 1/2 from it
1/2×339.12
= 169.56cm³
1.2 m
2.5 m
K 사
3.5 m
The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be nee not to paint the house not including the
garage door?
Show your work
B) if one gallon of paint covers 0.5 square meters, how many gallons of black paint will they need to paint the house
Answer: A:16 square meters.
Step-by-step explanation:
Multiplecation and subtraction
B: 16 divided by 0.5= 32, so its 32 gallons
Hope it helps!
A coin is tossed 1,000 times. There are two options:_______.
(i) To win $1 if the number of heads is between 490 and 510.
(ii) To win $1 is the number of heads is between 590 and 610.
Which option is better? Or are they the same? Explain.
Answer:
between 590 and 610
Step-by-step explanation:
when a coin is tossed twice =36
so 100 times is = 600
The distance from one point on the circle to another that passes through the circle is called a:
Answer: i think diameter, because the line passes through the center of the circle.
Step-by-step explanation: have a great day!! :)
You have a 12 V battery, a resistor R1 = 120, and another component that
requires a current of 2.0 A and a voltage drop of 6.0 V. What value of resistor
would you connect in parallel with R1, with both resistors in series with the other
component, to produce the required current and voltage drop?
answer is 123.32
Step-by-step explanation:
URGENT!!! PLEASE HELP
Answer: System 1 has an infinite number of solutions and System II has no solutions.
Step-by-step explanation:
If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.
If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.
I need help asap plz
For the first too am I correct and i need help for the last one plz
Answer:
3.4 seconds
Step-by-step explanation:
What combination of transformations is shown below?
Answer:
B. or the second one
Step-by-step explanation:
i) It takes the climber 800 seconds to climb to the top of the cliff.
During this time the energy transferred to the climber equals the work done by
the climber.
Calculate the power of the climber during the climb.
Power =
W
(Total 5 mar
Page 6 of 6
Answer:
gracias por lo 20 puntos
Step-by-step explanation:
Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function S(t)=500−400t−1, where t represents time in years. Find the rate of change of sales for the following number of years.
a.1
b.10
Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
Rafael divides a spinner into sections and labels it with numbers. He then spins the spinner 120 times. The spinner lands on 3 a total of 30 times. Based on this data, what is the probability of getting a 3 on the next spin of the spinner? State your answer as a percent
the possibility of getting three on the next spin is a 6 out of 10 chance
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The difference of the range and the interquartile range of the data set represented by the box plot is
.
Answer:
the answer is 10
Step-by-step explanation:
The difference between the range and the IQR of the data set represented by the box plot is 10.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset.
In this case, the range is:
Range = highest value - lowest value = 34 - 16 = 18
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is:
IQR = Q3 - Q1 = 29 - 21 = 8
So the difference between the range and the IQR is:
Range - IQR = 18 - 8 = 10
Therefore,
The difference between the range and the IQR of the data set represented by the box plot is 10.
Learn more about the interquartile range here:
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An airplane descends 1.6 miles to an elevation of 6.95 miles. Find the elevation of the plane before its
descent.
The initial elevation of the plane was
Smiles.
Answer:
Step-by-step explanation: First, let's call the starting elevation of the plane: e
We can then write an equation representing this problem as:
e−1.5mi=5.25mi
Now, add 1.5mi to each side of the equation to solve for e
while keeping the equation balanced:
e−1.5mi + 1.5mi=5.25mi + 1.5mi
e−0=6.75mi
e=6.75mi
The plane's starting elevation was 6.75 miles
Write an equation of the form y = mx for the line shown below.
Answer:
y = -3x
Step-by-step explanation:
To get slope intercept, you divide both y values by both x values like this
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case this will be [tex]\frac{(-3 - 6)}{(1 - (-2))}[/tex]
This will become [tex]\frac{-9}{3}[/tex]
Divide those two to get -3, and now you get your slope intercept.
What is the value of (-0.6)(-2.5)?
A -3.1
В 1.5
C 1.9
Answer:
B
Step-by-step explanation:
Step by Step Explanation Please
f(4) = -18
g(-3) = -76
Step-by-step explanation:
f(x) = -5x + 2
f(4) = -5(4) + 2
= -20 + 2
= -18
g(x) = 3x^3 + 5
g(-3) = 3(-3)^3 + 5
= 3(-27) + 5
= -81 + 5
= -76
Answer:
F(4)= -18
G(-3)=-76
f(x)= -5x+2
g(x)=3x^3+5
To find f(4), wherever you see x in f(x) put in 4
-5(4)+2= -18
To find g(-3), wherever you see x in g(x) put -3
3(-3)^3 +5= -76
A piece of lead for a mechanical pencil is 3.15 × 10–4 meter in diameter.
What is the diameter of the lead in standard notation?
A.
31,500,000 meters
B.
3,150 meters
C.
0.000315 meter
D.
0.0000315 meter
Answer:
it is he answer is 7.
Step-by-step explanation:
Who is the founder of macdonald
Answer:
Richard Mcdonald and Maurice Mcdonald
Step-by-step explanation
those are the people that found Mcdonalds
The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?
Answer:
89.75
Step-by-step explanation:
Sorry if its wrong!
I need help quickly. What's the answer? Best answer gets Brainliest.
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Answer:
The Answer Is C
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Bryan and Kevin were training for a big
race. They trained a week before the race by
racing one another. How many different ways
could the 2 friends place when racing each
other?
ude types 984 characters in 8 minutes. What is her typing rate in characters per minute?
A.
125 characters per minute
B.
120 characters per minute
C.
123 characters per minute
D.
128 characters per minute
Help fast