Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution 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]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the 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_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
Which expression is equivalent to
(r-7)6
Answer:
6r-42
hope that help you
Which statement is NOT TRUE when solving 5x - 4 = 26 *
O I need to add 4 to both sides of the equation.
O I need to divide both sides of the equation by 5.
O My answer is that x = 6
O My answer is that x = 4.4
Answer:
My answer is that x = 4.4
Step-by-step explanation:
The answer to the equation is 6, so the false one is the last one. All the other ones are true.
PLS HELP
Write an equation for the piecewise function over the domain
The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Equation of piecewise function:From given graph of function, we have to write function for the domain of [tex]-2\leq x\leq 2[/tex].
It is observed that, in the particular domain graph of function is a straight line, which passes through the points [tex](-2,3)[/tex] and [tex](2,1)[/tex].
Equation of line is,
[tex]y-3=\frac{1-3}{2+2}(x+2) \\\\y-3=-\frac{1}{2} (x+2)\\\\y=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]
The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Learn more about the equation of function here:
https://brainly.com/question/25841119
find the value of the ratio (red to blue) of the areas of the similar figures. Write the ratio as a fraction in simplest form.
Answer:
16/225
Step-by-step explanation:
Ratio of the area of similar figures = ratio of the square of any of their corresponding side lengths
Thus:
Area of red triangle : area of blue triangle = square of side length of red triangle : square of side length of blue triangle
Area of red : area of blue = 4²/15²
= 16/225
find the slope of the line
Answer:
it is b
Step-by-step explanation:
if mia Khalifa was black what would her situation be
Answer:
i really don’t know
Step-by-step explanation:
that’s an interesting question
Answer:
i dont know but can we do rp on pad.let?
Step-by-step explanation:
Two candles were lit and are burning. Candle A has
an initial height of 10 inches and burning down at a
rate of 1.5 inches per hour. Candle B is burning down
at a rate of 0.5 inches per hour and has an initial
height of 6 inches. Let t represent time in hours and
h represent the total height of the candle.
Answer:
A - 6 hours and 40 minutes
B - 12 hours
Step-by-step explanation:
Candle A - After 6 hours: the candle will be 1 inch tall, because 6 times 1.5 = 9. You need an extra 40 minutes for the candle to burn completely, because 10/1.5 = 6 and 2/3
Candle B - After 12 hours, the candle will be completely burned, because 6/.5 = 12.
Equation - Initial height/inches burned per hour = time it takes for cnadle to burn down completely
find the perimeter of a rectangle whose sides are 8 1/2cm by 4 1/2cm.
Answer:
26 cm
Step-by-step explanation:
To find the perimeter with the side lengths, you can use this formula: 2(L+W) because it's the measure of the distance around the rectangle. So,
2(8.5+4.5)
2(13)=26
Answer:26
Step-by-step explanation:
find the rectangle coordinates of (5,30 degrees)
Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?
Answer:
25.95 quarters which is about 6.5 years
Step-by-step explanation:
Jose decides to go to the local amusement park. He pays $12.50 for an admission ticket and $4.50 per ride. The total amount that Jose pays for admission and rides is $ 71. Which equation can be used to determine the total number of rides, r, that Jose went on?
Answer:
Your answer is B. 4.50r + 12.50 = 71.
Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?
Answer:
Bill has $21.
Step-by-step explanation:
There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.
plz help ill mark you brainliest too
Answer: I see you have already marked most of these correctly, the permiter of #4 is 28
Step-by-step explanation:
6: Perimeter: 34 Area: 60
7: 340 / 17 Length of base = 20
8: 221 / 17 Length of base = 13
A factory can make 120 backpacks in 3 hours.
How long would it take to make 600 backpacks?
15 h
20 h
30 h
40 h
javier buys 3 postcards during each day of vacation. how many days will javier have to spend on vacation before he will have bought a total of 18 postcards?
Select all that may be correct
Answer:
Option (2) and Option (6)
Step-by-step explanation:
Expression representing the error can be given by,
Expected value = Original value ± percentage error
If original value of the ice cream filled in the container = 64 ounce
Percentage error to fill the ice cream in each container = 1.5%
So net error = ± 1.5% of 64
= [tex]64(\frac{1.5}{100})[/tex] ounce
= 64(0.015) ounce
Therefore, expression that can show the maximum maximum amount of ice cream in the container will be
= 64 + 64(0.015) Option (6)
= 64(1 + 0.015)
= 64(1.015) Option (2)
Therefore, Option (2) and Option (6) are the correct options.
(5 + 7) = x
In word form
Answer:
Five plus seven equals x
Step-by-step explanation:
Answer:
Five plus seven equals x
Step-by-step explanation:
the cost of a family membership at the health club is $58 per month plus a one-time $129 startup fee if a family spend $651 how many months in their membership
Answer:
Step-by-step explanation:
58 x 12 = 696 696 + 129 = $825 for a year
they are 9 months in
Help me pls pls pls
Need help please I would be grateful
Answer:
The correct answer is given by option A.
Step-by-step explanation:
A function is said to be increasing for intervals of x in which the values of y are increasing, that is, it trends upwards, and decreasing for intervals of x in which the values of y are decreasing, that is, it trends downwards.
In this question:
It trends upwards from the start, at negative infinity, until 0.
It trends downwards from 0, until the end, at positive infinity.
So the correct answer is given by option A.
The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 16 years old. If the average age of the children is 15.25 , how old is the youngest child?
The age of the youngest child will be 11 years old.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The oldest child in a family of four children is twice as old as the youngest.
Let x be the age of the youngest child and y be the age of the oldest child. Then the equation is given as,
y = 2x ...1
The two middle children are 12 and 16 years old. If the average age of the children is 15.25. Then the equation is given as,
(x + 12 + 16 + y) / 4 = 15.25
x + y = 33 ...2
From equations 1 and 2, then we have
x + 2x = 33
3x = 33
x = 11
The age of the youngest child will be 11 years old.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
area = 2106
perimeter = 210
Step-by-step explanation:
area = length x width
(for this specific problem and since the shape is a rectangle)
perimeter = length + length + width + width
Answer:
A = 2106 yd^2 P = 210 yd
Step-by-step explanation:
PART A:
A = l x w
A = 78 x 27 = 2106 yd^2
P = l + w + l + w = 78 + 27 + 78 + 27 = 210 yd
PART B:
area
PART C:
perimeter
1 1/2×口=1
Pls help A.S.A.P
Answer:
2/3
Step-by-step explanation:
it is also 3/2 right so if I multify by 2/3 it is 6/6 which is 1
Name two ways you can figure out an area of a composite figure.
Answer: they contain valuable items and are very interesting
Step-by-step explanation:
Can someone explain how you do this?
what muiltupication will give you 900
Answer:
900x0
Step-by-step explanation:
>:)
Answer:
100x9, 90x10, 22.5x40
Step-by-step explanation:
There is a lot more but you got to look it up
Find the number that makes the ratio equivalent to 2:7.
6:?
Answer:
6:21
Step-by-step explanation:
2 was multiplied by 3, so 7 should also be multiplied by 3. The answer is 6:21. Hope this helps!
Can you conclude that these triangles are congruent?
yes or no?
Please help! I’ll mark you as brainliest if correct
Answer:
76 square feet
Step-by-step explanation:
2 x 4 = 8 x 2 = 16
5 x 4 = 20 x 2 = 40
2 x 5 = 10 x 2 = 20
16 + 40 + 20 = 76
Answer:
76 square feet...........
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645