The random variable X takes on the values of 2, 5, n, and 15. The probability distribution of X is shown in the following table
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The question is missing some parts. Here is the complete question.
The random variable X takes on the values of 2, 5, n and 15. The probability distribution of X is shown in the table below.
The expected value of X is 9.1. What is the value of n?
a) 8
b) 8.52
c) 10
d) 12
e) 14.4
Answer: d) 12
Step-by-step explanation: In a probability distribution, Expected Value is the average (or mean) value a distribution can assume.
The Expected Value, E(X), can be determine by:
[tex]E(X)=\Sigma xP(x)[/tex]
in which
x is how many times an event happens
P(x) is the probability of an event happening
The table below n is x and expected value is 9.1, then:
[tex]9.1=2*0.1+5*0.4+0.2n+15*0.3[/tex]
[tex]9.1=0.2n+6.7[/tex]
[tex]0.2n=2.4[/tex]
n = 12
Value of n in this probability distribution is 12.
The value of n in the discrete probability distribution given is 12.
The the sum of [P(X) × X] in a discrete probability distribution is the expected value
From the discrete probability table given :
P(X) × X can be expressed as :
E(X), expected value = 9.1(0.1 × 2) + (5 × 0.4) + (15×0.3) + 0.2n = 9.1
0.2 + 2.0 + 4.5 + 0.2n = 9.1
6.7 + 0.2n = 9.1
0.2n = 9.1 - 6.7
0.2n = 2.4
n = 2.4 / 0.2
n = 12
Therefore, the value of n in the table is 12
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Related Questions
What caused the “bust” of 1983?
Question 4 options:
A The industry created too many copies of ET. Knowing it was a sub-par game gave many people doubt the industry could produce engaging and quality games.
B Small companies didn’t have the resources to create quality games, so they started cranking out terrible products, and large brands tried to jump on the bandwagon with terrible games that blurred the line between games and marketing; consoles had to compete against each other and home computers which further crowded the market
C People became uninterested in the new games that were being produced
D Too much hairspray in the air clogged the machines
Answers
Answer:
B.
Step-by-step explanation:
Answer:
well just a few years later, it all came crashing down with the price of oil. The jets were grounded, cranes dismantled and commercial projects scrapped. Thousands of workers lost jobs and scores of companies went belly up.
so in other words B
I am not sure if it is right im only in middle school and am not that smart sorry if it is wrong! well good luck
Mark has invested in Evu Confectioners. He owns 220 shares of stock in Evu Confectioners, with each share costing him $14.79 apiece but paying a yearly dividend of $2.03. Mark also owns three par value $500 bonds from Evu Confectioners, each of which had a market value of 93.630 and which pay 8.8% interest. If Mark’s broker charges a commission of $55 per ten shares of stock bought or sold and a commission of 3% of the market value of each bond bought or sold, which aspect of Mark’s investment in Evu Confectioners has the greater percent yield, and how much greater is it?
a.
The stocks have a yield 4.33 percentage points greater than that of the bonds.
b.
The stocks have a yield 0.88 percentage points greater than that of the bonds.
c.
The bonds have a yield 0.32 percentage points greater than that of the stocks.
d.
The bonds have a yield 3.68 percentage points greater than that of the stocks.
Answers
Answer:
b, 0.88
Step-by-step explanation:
just took the quiz
Marks invested in the evu confectioners and own a 220 shares of stock. Each of them costs him $14.79 but pays dividend of $2.03 mark also owns a 3 par value of $500 bonds.
if Mark broker charges him a commission of $55 per ten shares of stocks thar he sold and take a commission of 3%. The aspect of mark investment in the Evu would be much greater than point shared by the bonds. Thus the stocks would be yields a 0.88% points larger than bonds. Hence the option B is correct.Learn more about the Evu Confectioners.
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Which lines are parallel? A) p and q B) q and r C) p and s D) r and s
Answers
A
Explanation
Answer:
the correct option would actually be option C.
Step-by-step explanation:
1.) it is on USA test prep.
2.) Since 111 degrees and 69 degrees are supplementary, we can conclude that lines p and s are parallel.
What is the answer to :
5/3 - 2 1/3
Answers
Answer:
- 2/3
Step-by-step explanation:
Need help with this. Write an equation that is parallel to the line whose equation is y = −8x − 7?
An equation of the line that has a slope of 3
and a y-intercept of -2 is
Answers
Answer:
Problem 4: y = -8x+b
Problem 5: C: 3x-2
Step-by-step explanation:
Problem 4:
The given line is in slope intercept form.
The slope-intercept form is:
[tex]y = mx+b[/tex]
Here the co-efficient of x is the slope of the line. Comparing the given equation with general form
m = -8
Two parallel lines have same slope so the slope of line will be -8.
[tex]y=mx+b\\y = -8x+b[/tex]
b can be any positive or negative integer as we don't know any point on the line parallel to given line.
Problem 5:
Slope = 3
y-intercept = -2
Slope intercept of line is given by:
[tex]y = mx+b[/tex]
here m is slope and b is y-intercept
Putting the values
[tex]y = 3x-2[/tex]
Option C: y=3x-2 is the correct answer
Hence,
Problem 4: y = -8x+b
Problem 5: C: 3x-2
help me
I need someone..
plsss..
Answers
What is the measure of the largest angle of a triangle if the ratio of the measures of the three angles is 5:3:1
Answers
Answer:
First Angle = 100°
Second Angle = 60°
Third Angle = 20°
Step-by-step explanation:
Step 1:
5 : 3 : 1 Ratio
Step 2:
5x + 3x + x = 180° Sum of a Δ
Step 3:
9x = 180° Combine Like Terms
Step 4:
x = 180° ÷ 9 Divide
Step 5:
x = 20°
Answer:
First Angle = 5 × 20° = 100°
Second Angle = 3 × 20° = 60°
Third Angle = 1 × 20° = 20°
Hope This Helps :)
HOMEWORK HELP ME PLEASE
Answers
Answer:
Y = 3
Step-by-step explanation:
Have a wonderful day :D
Given the expression 5a2b2 − 13ab + 7a3 − 4b, do the following as instructed below:
A: Write the polynomial in descending order.
B: Classify the polynomial by the number of terms.
C: State the degree of the polynomial.
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2. classification: 4 terms
3. the degree: 3
Solve the following systems of equations by elimination.
4x+3y=-2
8x-2y=12
Answers
You draw two cards from a standard deck of 52 cards and replace the first one before drawing a second. What is the probability of drawing a king and a five in either order?
Answers
Answer: 4 over 663 hope this helps
Which postulate or theorem, if any, could you use to prove DBE is congruent to FCE? If not enough information is given choose not information.
Answers
Congruent triangles have equal corresponding angles and sides
The theorem that proves that DBE is congruent to FCE is ASA
From the diagram, we have the following highlights
Angle B is congruent to angle CSide length BE is congruent to side length CEAngles at E on both triangles are congruentThe above highlights represent congruence theorem ASA
Hence, the theorem that proves that DBE is congruent to FCE is ASA
Read more about congruent triangles at:
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Find the mode for the following set of data:
16, 14, 24, 32, 14 ASAP correct answers only
Answers
Answer:
14
Step-by-step explanation:
Mode is the value that appear most often in a set of data values.
Look at this set of data:
16,14,24,32,14
Which number appears the most? The answer is 14.
16, (14), 24, 32, (14)
Mathematics Transform Exponential Functions
Please answer
Answers
Answer:
g(x) = 6 * 3^x
Step-by-step explanation:
This is the answer because the question states that the graph is vertically stretched by a factor of 6. Since the parent function of an exponential function is f(x) = a * 3^(k(x-d)) + c, we plug in 6 for a, where we get g(x) = 6 * 3^x.
Vern has just opened a flower shop. Because of the startup costs, for the next month his net earnings for each bouquet are -$6. On Tuesday during that month, he sold 14 bouquets. What are Verns net earnings for Tuesday?
-$8
-$84
$84
$20
Answers
Answer:
-$84
Step-by-step explanation:
$-6 x $14 = -$84
6. irrational numbers are numbers that
7. The number 3 is ____ because it is ____.
Answers
Answer:
irrational numbers are numbers that can't be written as a fraction
the number 3 is rational because it is an integer
What is an equation of the line that passes through the point (-8,0) and is Pharrell to the line x-2y=10?
Answers
Answer:
y = 1/2x + 4
Step-by-step explanation:
there are 20 marbles in a bag. 35% of the marbles are blue. how many marbles are blue?
Answers
Answer:
7 marbles are blue.
Answer:
7
Step-by-step explanation:
20 divided by 100 times 35!
Can the set of lengths be the side lengths of a right triangle?
8 ft, 15 ft, 17 ft
Answers
Answer:
yes
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the longest side squared is equal to the sum of the other 2 sides, then the triangle is right.
longest side = 17 and 17² = 289 and
8² + 15² = 64 + 225 = 289
Since 8² + 15² = 17² then the triangle is right.
HELPP ME PLZZZ THIS IS MY LAST QUESTION
Answers
Answer:
a. y = 3x - 11
b. y = -1/3 x - 1
Step-by-step explanation:
The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.
a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:
-2 = 3(3) + b
-2 = 9 + b
-11 = b
The y-intercept is -11. Now we can write our equation:
y = 3x - 11
b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:
-2 = -1/3(3) + b
-2 = -1 + b
-1 = b
The y-intercept is -1. Now we can write our equation:
y = -1/3x - 1
Hope this helps :)
Andre has $37 in his bank account and writes a check for $87. After the check has been cashed, what will the bank balance show?
Answers
Answer:
If he is adding the check it will be $124, but if he is withdrawing a check it will be -50
Step-by-step explanation:
Hope this helps
4 In a survey, 70% of homes were on the internet.
Of these homes, 70% had broadband.
There are 2450 homes with broadband internet.
How many homes were included in the survey?
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Answer:
hi
Step-by-step explanation:
3
Bridget needs an actor. Actor A is offering her services for an initial $140 in addition
to $20 per day. Actor B is offering her services for an initial $200 in addition to $15
per day.
Write a function g (x) for actor B
Answers
Answer:
(x=days) g(x)=15x+200
Step-by-step explanation:
the 200 is a base fee, meaning you cant tag a variable on it and in this case it works as a y-intercept, the 15 dollars a day would be 15x because x is the number of days and to calculate how much it costs to work a few days you multiply the daily rate and the number of days, then add 200 to get your cost.
If all of the diagonals are drawn from a vertex of a pentagon, how many triangles are formed?
2
3
4
5
Answers
QUESTION OF THE DAY: There are 5 blue M&Ms, 6 red M&Ms, 5 yellow M&Ms, 8 green M&Ms, 4 orange M&Ms, and 7 brown M&Ms in a bag. What is the probability of selecting a green or brown M&M?
Answers
Answer:
15/35
Step-by-step explanation:
Click on the image to make it bigger!
Answers
Anya bought a car for £12 500.
The car depreciates at a rate of 12%
per year.
Work out the value of the car after
five years.
Answers
Answer:
7500
Step-by-step explanation:
All you have to do is mulitiply the percent by 5 so 60% then you do 0.60 times 12500 to get 7500. Hope this helped!
In a triangle, if the second angle is 5º greater than the first angle and the third angle is 5° greater than the second angle, find the three angles of the triangle.
Answers
Answer:
Angle 1= 55 degrees
Angle 2=60 degrees
Angle 3=65 degrees
Step-by-step explanation:
angles in triangle add to 180 degrees
Which of the following problem types require you to find the LCD? (choose ALL that apply)
multiplying rational expressions
multiplying rational expressions
dividing rationals expressions
dividing rationals expressions
adding rational expressions
adding rational expressions
subtracting rational expressions
subtracting rational expressions
solving rational equations
Answers
Answer:
The correct options are;
Adding rational expressions
Subtracting rational expressions
Step-by-step explanation:
When adding or subtracting rational numbers, the denominators of the fractions representing the numbers should be equal
Therefore, when adding two or more rational expressions together, the following steps are required;
1) Looking for the Lowest Common Denominator
2) Finding the product of the quotient obtained from dividing the LCD by the denominator of a fraction and the numerator of the fraction
3) Placing the sum (or differences) of the products obtained in the above step as the numerator, while the LCD remain denominator
4) Simplifying the numerator in the above step
5) The faction so obtained, is the sum or difference of two or more rational expressions.
A blues musician signed a contract to do a concert at Municipal Auditorium. The contract stated that the musician will receive 40% of the money from ticket sales. Tickets cost $14.35, and 2,318 tickets were sold. How much money should the musician receive from ticket sales?
Answers
Answer: $ 13,305.32
Step-by-step explanation:
Given: Total tickets = 2318
Per ticket cost = $14.35
Cost of all tickets = (Total tickets ) x (Per ticket cost )
= (2318) x (14.35)
= $33,263.3
According to the contract, musician will receive 40% of the money from ticket sales.
So, Musician will receive = 40% of (Cost of all tickets)
= 0.40 x 33263.3
= $ 13,305.32
The musician should receive from ticket sales = $ 13,305.32
