The number of typing errors on a page follows a Poisson distribution with a mean of 6.3. Find the probability of having exactly six (6) errors on a page.

Answers

Answer 1

Answer: 0.1595

Step-by-step explanation:

Poisson Distribution Formula

[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]

Here, [tex]\lambda= 6.3[/tex]

x= 6

[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]

[tex]\approx0.1595[/tex]

Hence, the probability of having exactly six (6) errors on a page = 0.1595


Related Questions

What is the volume of the triangle prism? ( HELP PLEASE )

Answers

Answer:

270 km³

Step-by-step explanation:

the volume = ½×9×6×10 = 270 km³

how do you solve the problem 2p = 60 ​

Answers

you have to separate the 2 and p so divide 60 by 2 which will leave p=30 and now if you plug it in you see 2 times 30 equals 60 :)

Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.

Answers

Answer:

£90 more

Step-by-step explanation:

4+1=5

150/5=30

I:T

4:1 ×30

120:30

120-30=90

Am I correct? K
Thanks for helping!
PLEASEEE CHECK ME WORK!

Answers

Yes, these are all correct! Good job!!! :))

Answer:

yes you are correct on all of them good job

Jeff and Eric roommates and enjoy talking about sports. They mainly discuss their favorite professional soccer teams. Jeff enjoys European soccer whereas Eric prefers American teams. Outside soccer they do not discuss much. Their lack of range of talking to it fall into which category?​

Answers

Answer:

EXPLANATION:

In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.

====================================

If you have any questions feel free to ask me^^

Have a nice and great day!

Cayler

#PilipinasAngBayanKo

Answer:

Sana Maka help ako tnx

Find the value of y in the equation. 3/y-2=8

Answers

Answer: 19/8 or 2 and 3/8

Step-by-step explanation:

Estimate the sum of the decimals below by rounding to the nearest whole number.


6.802
6 1844
+ 6.318​

Answers

Answer:

19

Step-by-step explanation:

6.802 = 7

6.1844 = 6

6.318 = 6

7 + 6 + 6 = 19

I hope this helps!

Find the volume of the cone. Round your answer to the nearest hundredth.

Answers

Answer:

I believe the answer is 1.36

Extremely STUCK on this one help!

Answers

I believe it’s B because everything equals 180 and then 180-70=10

A government agency estimates the number of young adults (ages 18 to 24) in a particular country to be 31,000 (in thousands) in 2010 and changing at the rate of −x2 + 90x − 200 thousand per year, where x is the number of years since 2010. Find a formula for the size of this population at any time x. [Hint: Keep all calculations in units of thousands.]

Answers

Answer:

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Step-by-step explanation:

From the given information:

Let assume the population is denoted by L

The rate of change of the young adults per year given  can be represented as;

[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]

where;

x = 0 since 2010

[tex]dL = -x^2 +90x -200 dx[/tex]

[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]

[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]

here;

L(0) = 31000

[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]

C = 31000

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.

Answers

Answer:

Multiply

1/3

Step-by-step explanation:

You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.

Solve the Exponential Equation:
[tex]5 { }^{66} = {3}^{42} [/tex]

Answers

Answer:
.........

Work:

According to the Centers for Disease control and prevention, 20.8 of high school students currently use electronic cigarettes. A high school counselor is concerned that the use of e-cigs at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.034. Was a Type I or Type II error committed?

Answers

Answer:

H0 : p = 0.028

H1: p > 0.028

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

Type 11 error

Step-by-step explanation:

H0 : p = 0.028

H1: p > 0.028

If null should not be rejected then;

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

3.)

If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed

From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's house. It is 3 miles from Adriana's house to Zach's house and a straight-line distance of 5 miles from Gavin's house to Zach's house. How far is Adriana's house from Gavin's house?'

Answers

Answer:

4 miles.

Step by step explanation

A baseball pitching coach charges $90 for 2.5 hours of training. If you train for 9 hours in one week, how much will that cost for the week, in dollars?

Answers

Answe$324

Step-by-step explanation:

First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours

Next you multiply 3.6 by 90 to get 324

What the guy above me said

Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB

Answers

Answer: a b f

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

i believe it is A, B, and F good luck.

Factorise as fully as possible:

[tex]8x^{2} -4x[/tex]


Please help me! Got a big test tomorrow and I really want to make sure I have every skill under my belt.

Answers

Answer:

[tex]4x(2x−1)[/tex]

Step-by-step explanation:

[tex] {8x}^{2} - 4x[/tex]

[tex]4x(2x) - 4x[/tex]

[tex]4x(2x)+4x(−1)[/tex]

[tex]4x(2x−1)[/tex]

Hope it is helpful....

What’s an explanation function ?

Answers

Answer:

Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.

The formula distance =rate x time (d = ) tells how far an object travels at a certain rate (speed) over a certain time
How long will it take a train to travel 765 miles at 85 tniles per hour?

Answers

Answer:

42.05 HRS

Step-by-step explanation:

D = R x T ..... D=765 MILES R= 95 MILES/HR WE HAVE TO SOLVE FOR T BECAUSE THE QUESTIONS ASKS "HOW LONG.." T = D/R AND THEN SUBSTITUTE THE DISTANCE AND RATE ;)

Please answer this question for me

Answers

I think the answer is par

Solve the proportion: 144/a = 9/4
a=?

Answers

Step-by-step explanation:

eieueskhdbdjsikskskskjswhwjw

If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²

Answers

Answer:

(5^2)(5-7)

Step-by-step explanation:

So we know h(x)=x-7.

We also know g(x)=x^2

We need to plug in these values for (g*h)(5)

This would equal:

((x-7)*x^2)(5)

Since parthese can also be considered multipcation symbols, we can think of this as:

(x-7)(x^2)(5)

Lets distrubute the 5 to all the x's:

(5-7)(5^2)

Which is:

([tex]5^{2}[/tex])(5-7)

This looks like answer C.

Hope this helps!

What’s the answer and how do you figure these out?

Answers

Answer:

140

Step-by-step explanation:

20x+60=30x+20

40=10x

x=4

and

20x+60

20*4+60

=140

My exam, does any one know the answer

Answers

Answer:

D) 7

Step-by-step explanation:

Five times a number=5x

added to 4= 5x+4

[tex]5x+4=39[/tex]

[tex]5x=35[/tex]

[tex]x=7[/tex]

So, the number is 7.

D.) 7 is the answer

I’m back again :( Please anybody help me

Answers

Welcome back....♡

Surface area = 2( 4 × 2 ) + ( 3 × 4 )

+ 2( 4 × 4 ) + 3( 10 × 4 )

+ 3( 4 × 7 )

Surface area = 16 + 12 + 32 + 120 + 84

Surface area = 264 in^2

Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch

Answers

Answer:

72 in²

Step-by-step explanation:

We obtain the value of EC:

From Pythagoras :

EC = √CD² - DE²

EC = √10² - 6²

EC = √100 - 36

EC = √64

EC = 8

To obtain AE:

AE = √AB² - BE²

AE = √(√52)² - 6²

AE = √52 - 36

AE = √16

AE = 4

Hence, we can obtain the areas of each triangle :

△ABE = △ADE

△BCE = △CDE

AREA OF △ABE = 1/2 * base * height

= 1/2 * 4 * 6 = 12 in²

AREA OF △BCE = 1/2 * base * height

= 1/2 * 6 * 8 = 24 in²

HENCE, total area of fabric :

(2 * 12) + (2 * 24)

24 in² + 48 in²

= 72 in²

Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).

Answers

Answer: c

Step-by-step explanation:

Find the equation of the linear relationship.

Answers

Answer:

y = -3x + 150

Step-by-step explanation:

2 points on the graph:

(30, 60) and (40, 30)

Slope:

m=(y2-y1)/(x2-x1)

m=(30 - 60)/(40 - 30)

m= (-30)/10

m= -3

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -3(x - 30)

y - 60 = -3x + 90

y = -3x + 150

What does burning fossil fuels release into the air?

Answers

When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which donate to the formation of smog and acid rain. Major sources of nitrogen oxide emissions include: Cars and trucks. Coal-fired power plants.

Step-by-step explanation:

Answer:

carbon dioxide

Step-by-step explanation:

took the test

composite figure help omg

Answers

Answer:

188 sq m

Step-by-step explanation:

for the top square its just 6 x 6 which is 36

then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152

you then add 152 and 36 to get 188 (and the unit is sq m or m^2)

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