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

Answers

Answer 1

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


Related Questions

Compute Δy using the function y= 5x^3 as x goes from -2 to 1.
Δy =?

Answers

The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45

The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.

Δy = y2 - y1

where:

y1 = 5(-2)³

y1 = -40

and

y2 = 5(1)³

y2 = 5

Therefore,

Δy = y2 - y1

Δy = 5 - (-40)

Δy = 45.

Read more:

https://brainly.com/question/12559989

Joseph takes his little brother to the local frozen yogurt shop. he doesn't want his brother to spoil his dinner, so he can get no more than three ounces bought. the function consists only of the ordered pairs (0, 0.35), (1,1.35), (2,2.35) and (3,3.35) what is the domain and range of the function?

Answers

Answer:

Domain: (0,1,23)

Range: (0.35,1.35,2.35)

Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.

Given the vectors ⃗⃗ = 〈2, 3, 5〉, ⃗ = 〈−2, 5, 0〉, ⃗⃗ = 〈−3, 2, 7〉 calculate:
a) ⃗⃗ + ⃗ + ⃗⃗

Answers

Answer:

a

Step-by-step explanation:

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

speed = 330/6 = 55 mph

Answer:

55mph

Step-by-step explanation:

average speed=330/6=55mph

The table shows the ramp height and platform length for different skateboard ramps.
Ramp Height (in.) 4 8 12 16 20
Platform Length (in.) 12 24 36 48 60
What would be the platform length for a ramp height of 10 inches?
A. 26 inches
B. 28 inches
C. 30 inches
D. 34 inches

Answers

Ok so first off this is a test in school just started back so I’m assuming this is to see where you need help at because I take these test to . Try you best but the answer is B. They can’t fAll on these test

Tim asked his classmates if they preferred rock music or pop music. The ratio of students who liked pop music to rock music was 3 to 4. If Tim asked 14 classmates, how many like pop music?

Answers

Answer:

10.5 people like pop music.

Step-by-step explanation:

3/4 like pop music

3/4 = 0.75

75% of 14 = 0.75x14=10.5

Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}

Answers

The answer is option B.

Because

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

Is this sequence arithmetic? (Hint: determine if there is a common difference)


7, 18, 29, 40


A) yes

B) no

Answers

Yes because you add 11 each time
18-7=11
29-18=11 ……
Please mark brainelist

write an equation of the line passing through the point( 3, -1) and parallel to the line y=2/3 x-5

Answers

Answer:

[tex]y = \frac{2}{3} x - 2[/tex]

Step-by-step explanation:

find The y-intercept

[tex] - 1 = \frac{2}{3} (3) + b \\ - 1 = 1 + b \\ b = - 2 \: \: \: \: y - intercept[/tex]

The equation of the line

[tex]y = \frac{2}{3} x - 2[/tex]

need help with this algebra ii question

Answers

Answer:

-23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + c

f(4) = -7

Step 2: Solve for c

Substitute in variables [Function f(x)]:                                                             -7 = 4² + cEvaluate exponents:                                                                                        -7 = 16 + c[Subtraction Property of Equality] Subtract 16 on both sides:                       -23 = c

a line that is parallel to y=-3x+2 and contains the point (3,-3)

Answers

Answer:

y = -3x + 6

Step-by-step explanation:

Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.

-3 = -3(3) + b

-3 = -9 + b

6 = b

Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].

y = -3x + 6

Best of Luck!

A parallel line means our new line will have a slope equal to the original line.

The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3

By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.

Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)

Combining our point and slope, we get:

y + 4 = -3(x - 3)

If we wish, we can rearrange this by distributing on the right hand side.

y + 4 = -3x + 9

We can then subtract 4 from both sides to get our answer in slope-intercept form

y + 4 - 4 = -3x + 9 - 4

y = -3x + 5

Tyson can type 49 words per minute. How long will it take him to type a 1000-word essay?

Answers

Answer:

20.4minutes

Step-by-step explanation:

Duration= Number of words/Typing speed

Duration= 1000/ 49 per min

= 20.4minutes

Hope this helped you- have a good day bro cya)

-2,-6,-18,-54....n equals 11
What is the Geometric series!
Formula:Sn=a1(1-r^n) over(1-r)
PLEASE ANSWER I WILL GIVE U BRANLIEST ANSWER if correct¡!!¡

Answers

9514 1404 393

Answer:

  -177146

Step-by-step explanation:

The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...

  S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146

The sum of 11 terms of the series is -177146.

Show how to use a power of 10 to write 42.66 / 2.97 as an equivalent expression with a whole number divisor

PLEASE HELP DUE TONIGHT!!
WILL MARK BRAINLIEST!!

Answers

Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]

Given the expression :

42.66/2.97

Expressing the numbers as a power of 10 :

Dividend = 42.66 Divisor = 2.97

To convert the divisor to a whole number :

Multiply both by 100

Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297

Expressing dividend as a power of 10 :

Dividend = 42.66 × 100 = 42.66 × 10²

Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]

Learn more : https://brainly.com/question/18796573

class 6 MATHS! is this correct???​

Answers

Answer:

yes Bro it is correct ar u writing an exam

That is the correct answer

On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?
A.
reflection across the y-axis
B.
reflection across the x-axis
C.
reflection across both axes
D.
locations unrelated

Answers

Answer:

A. reflection across the y-axiss

Step-by-step explanation:

Given:

The locations of the two points are (-4 , 8) and (-4 , -8).

To find:

The relation between two points.

From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,

[tex](x,y)[/tex]→[tex](-x,y)[/tex]

For (-4,8)

[tex](-4,8)[/tex]→ [tex](-4,-8)[/tex]

So, it is reflection across the y-axis.

Therefore, the correct option is A.

A salesperson earns an income of $600 per week aus an dditional 5% commission on her total sales for that weck a. Write an equation that models the Salespersons total weekly income. b. What would be the salespersons income if her total sales were $10.000 that week? c. How much would a salesperson have to sell to have a $2000 weekly​

Answers

The answer is .I took the test so thats the answer

pls help i’m so confused

Answers

Answer:

I think your answer is i

Step-by-step explanation:

The rotational symmetry would be letters i

The letter with rotational symmetry is i

what is the LCD of 3/5, 1/10, 1/2

Answers

The LCD of 3/5 1/10and 1/2 is 10. This is because 10 is the smallest number that 5, 10 and 2 are all divisible by.

I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!!

Answers

it's 8=8 meaning it is always true, and infinity.

Answer: all real num.

Step-by-step explanation:

4(a+2) = 8+4a

4a+8 = 8+4a

It can be all real number.

please please help with question 18

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

[tex]y = \dfrac{3}{5} x + 2[/tex]

Explanation :

As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :

[tex] \dfrac{3}{5} [/tex]

now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :

[tex]y - y1 = m(x - x1)[/tex]

[tex](y - ( - 1)) = \dfrac{3}{5} (x - ( - 5))[/tex]

[tex]y + 1 = \dfrac{3}{5} (x + 5)[/tex]

[tex]5(y + 1) = 3(x + 5)[/tex]

[tex]5y + 5 = 3x + 15[/tex]

[tex]5y = 3x + 15 - 5[/tex]

[tex]5y = 3x + 10[/tex]

[tex]y = \dfrac{3x + 10}{5} [/tex]

[tex]y = \dfrac{3}{5} x + 2[/tex]

therefore , the correct choice is A

Using distributive property, factor out the GCF and rewrite 54 + 90​

Answers

Answer:

144

Step-by-step explanation:

54+90=144

144-90=54

90+54=144

144-54=90

write the ratio $12 dollars 3 tickets as a unit rate

Answers

Answer:

20 pesos lang

Step-by-step explanation:

kami 5 pesos per ticket kayo 12 dollar

Need help, look at picture

Answers

Line AB is the diameter

help me out with this problem ?​

Answers

Answer:

(-4.5, 2.5)

Step-by-step explanation:

The solution for two graphed linear equations is the intersection (The point where two lines meet or cross).

Find the area of this rectangle.
Write your answers in simplest form.

Answers

Answer:

7 1/7 square mm

Step-by-step explanation:

Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.

Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?

Answers

You can write it in point-slope form like I did at the top, but I simplified it to slope-intercept (the answer with a square around it)

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

What is the equation of a parallel line?

Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,

y = mx + d

Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.

y = (10/3)x + d

The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,

–2 = (10/3)(–3) + d

–2 = –10 + d

d = 10 – 2

d = 8

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ5

kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?

Answers

Answer:480.10

Step-by-step explanation:

Answer:

$471.9

Step-by-step explanation:

Take "30 hours and 15 minutes" into a number you can multiply. 15 minutes is a quarter of an hour, so our number is 30.25

Do 30.25 x 15.60 to get 471.9

Add a dollar sign, and there's your answer of $471.9!

Hope this helped.

help i need a place to watch movies during schools

Answers

Answer:

try to use soap2day.to if its not blocked by your school

Answer:

wdym? Netflix?

like do you mean you need a setting to watch them?

- Library

random table or bench

or do you need a site to watch them?

- Netflix ( needs subscription )

- Disney + ( Needs Subscription )

Hope that helps?

When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?

Answers

Answer:

20 minutes

Step-by-step explanation:

If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.

I found this by dividing 40 (boxes) by 2 (min per box)

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