Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in probability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.

Answers

Answer 1

Answer:

The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probability that they will teach different courses as follows:

[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]

Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].


Related Questions

Dos puntos pueden determinar un segmento?

Answers

Answer:

Si se puede

Step-by-step explanation:

Would be great if I could get this answer, thank you:)

Answers

Answer:

160

Step-by-step explanation:

Find the area of the base

10 × 8 = 80

Multiply the height

80 × 6 = 480

then the the pyramid prism takes 1/3 so...

we then multiply 480 by 1/3

480 × 1/3 = 160

si un submarino esta a - 83 metros a nivel del mar, sube a -15 cuantos metros subio?

Answers

Answer:

El submarino subió 68 metros

Step-by-step explanation:

Desplazamiento

Si un cuerpo cambia de posición desde X1 hasta X2, su cambio de posición se calcula como:

X=X2-X1

En el caso de nuestro submarino, su posición original era a X1=-83 m, luego sube a la posición X2=-15 m, así que su cambio de posición o desplazamiento es:

X=-15-(-83)=-15+83=68 m

El submarino subió 68 metros

Which is bigger please help only have 5 mins
7.5, 1, 3.1, 1.7

Answers

Answer:

7.5

Step-by-step explanation:

1, 3.1, and 1.7 are all under 5 whereas 7.5 is above.

(8,10),(-7,14)
The slope of the line

Answers

Answer:

-4/15

Step-by-step explanation:

I used my graphing calculator.

It is -4/15,
because I graphed it out.

Jonathan purchases 4 loaves of bread for 3.63 each. How much did he spend on bread?

Answers

14.52
4 x 3.63
This is the answer I pretty sure just use a calculator it’s makes it easy
The answer would be 14.52.

3.63 x 4

sam can make 18 burritos in 8 min write the ratio that compares the time to the number of burritos simplify if possible

Answers

Answer:

Ratio time to the number of burritos = 4:9

Step-by-step explanation:

Given:

Number of burritos make = 18

Total time taken = 8 min

Find:

Ratio time to the number of burritos

Computation:

Ratio time to the number of burritos = Total time taken / Number of burritos make

Ratio time to the number of burritos = 8 / 18

Ratio time to the number of burritos = 4 / 9

Ratio time to the number of burritos = 4:9

Simplify: 2x + 4y - x + y

Answers

Answer:

x+5y

Step-by-step explanation:

Answer:

1x+5y or x+5y is it simplfyed

What is the difference between -4.5 and -18.2

Answers

Answer:

13.7

Step-by-step explanation:

-4.5 - -18.2 = 13.7

The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)

Answers

Answer:

c

Step-by-step explanation:

Since the image was created by reflecting across the x-axis,

that means that the original triangle was in the fourth quadrant

the image however is in the first quadrant

the coordinates of something in the fourth quadrant is (x, -y)

the coordinates of something in the first quadrant is (x, y)

so the answer is "c" since (x, -(y)) = (x, -y)

A paddle board rental company has two different rental options. Option 1 - Pay a yearly membership fee of $120 and then pay $10 each time you want to rent a board. Option 2 - Pay no membership fee and then pay $18 each time you want to rent a board. Which equation can be used to find x, the number of times rented so that the two options are equal in cost? (8.8B) *
1 point
10x = 120 + 18x
120 + 10x = 18x
120x = 10 + 18
10x + 18x = 120

Answers

Answer:

option b - 120+10x=18x

Step-by-step explanation:$120 is yearly and $10 is multiplied by x - how many times you want to rent

and then 18 is how much you pay for x times you want to rent it

The vet says that Lena’s puppy will grow to be at most 28 inches tall. Lena’s puppy is currently 1 foot tall. How many more inches will the puppy grow?

Answers

Answer:

Lena's puppy has 16 more inches to grow.

Step-by-step explanation:

One foot is 12 inches. 28 - 12 = 16

The statement "If a = 6, then 6 = a." illustrates which property?

Answers

Answer

Symmetric law

Step-by-step explanation:

This means that even if you swap the numbers the answer stays the same.

HOPE IT HELPED

HAVE A GOOD NIGHT/DAY

I really need help please

Answers

Answer: A)70. B)72


The GCF between 70 and 72 is 2.

A={-6, 0, 6},
B={-1, 0, 1}
find A intersect B

Answers

Answer:

[tex] \huge \boxed{ \sf{ \{ 0 \} }}[/tex]

Step-by-step explanation:

Given :

[tex] \sf{A} \: = \: [/tex] { -6 , 0 , 6 }

[tex] \sf{B} \: = [/tex]{ -1 , 0 , 1 }

To find :

A ∩ B

Solution :

A ∩ B = { -6 , 0 , 6 } { -1 , 0 , 1 }

A ∩ B = { 0 }

Remember : In case of intersection , the common element of two sets A and B should be listed in a single set. So, the intersection of sets A and B is the set of all elements which belong to both A and B. The intersection of sets A and B is denoted by ( A ∩ B ) and read as A intersection B.

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22

Answers

9514 1404 393

Answer:

  -22

Step-by-step explanation:

Put the value of x where x is and do the arithmetic.

  f(3) = -2(3)^2 -4 = -2·9 -4 = -18 -4

  f(3) = -22

Which point is a solution to the inequality shown in this graph?
A. (0,0)
B. (5,-5)
C. (0,1)
D. (-5,1)

Answers

it’s C!! it is a solution if it is on the shaded part or if it is on a straight line!! hope this helps

Domain and range of a graph please helppppp

Answers

Answer:

Domain : (-∞,∞)

Range : (-∞,∞)

Step-by-step explanation:

Domain is how many x-values the graph touches and Range is how many y-values the graph touches. And this graph has no point on which it stops nor any asymptotes, so both domain and range are all real numbers.

Answer:

if FB gxjxjdjdjhgdjjdidjqjdjjdid

What is 1 7/8 of 4 9/13?

Answers

Answer:

8 83/104.

Step-by-step explanation:

4 9/13 * 1 7/8

= 61/13 * 15/8

= 915/104

= 8 83/104.

Eva is reading a book that is 400 pages.She has read 336 pages so far.What percentage of the book does she have left to read?

Plz tell me the answer I need helpp

Answers

Answer:

Eva has 16% of the book left to read

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

400-336=64

64÷400= 0.16

0.16x100=16

16% is your answer

A line contains the points (6, 8) and (1,-2).
What is the slope of the line in simplified form?

Enter your answer in the box

Answers

Answer:

The slope of the line is two.

Step-by-step explanation:

Recall that to find the slope between any two points, we can use the slope formula:

[tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Let (6, 8) be our (x₁, y₁) and let (1, -2) be our (x₂, y₂). Substitution yields:

[tex]\displaystyle m=\frac{(-2)-(8)}{(1)-(6)}[/tex]

Subtract:

[tex]\displaystyle m=\frac{-10}{-5}[/tex]

Divide:

[tex]m=2[/tex]

Therefore, the slope of the line is two.

Answer:

2

Step-by-step explanation:

All of the following were effects of the invention of agriculture except
A job specialization
B. more time for religion
C. an increase in population
D. less time for arts and crafts

15 POINTS!!! WILL MARK BRANLIEST FOR BEST ANSWER

Answers

Answer: its (d)

All of the following commonly characterize the development of civilization EXCEPT:

(A) Public building projects

(B) Written language

(C) Long distance trade

(D) Increasing equality among all citizens.

Step-by-step explanation: because i went on quizlet and it said (D) Also i took the test

Answer:

Option D

Step-by-step explanation:

If Audrey wanted to solve this equation using the square root method, which answer shows the correct sequence of steps?

x2 + 5 = 41

a. Take the square root of both sides
b. Subtract 41 from both sides, then square root both sides.
c. Subtract 5 from both sides, then square root both sides.
d. Add 5 to both sides, then square root both sides

Answers

Answer:

C

Step-by-step explanation:

subtract 5 from both sides

What is f(5) for the function f(x) = 2x+4

Answers

Answer: 1/2 half

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

f(5) you plug in 5 as x

2(5)+4

2×5=10

10+4=14

A school newspaper reporter decides to randomly survey 20 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 24% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.Part (a)In words, define the Random Variable X.the types of festivities offered at the schoolthe number of students that will attend Tet the number of students in the schoolthe school newspaperCorrect: Your answer is correct.Correct! This is a numerical measure of the outcome of the survey.Part (b)List the values that X may take on.X

Answers

let me think real quick

how many centuries are the same as 700 years?

Answers

Answer:

7

Step-by-step explanation:

700/100

Emily is saving up to buy a new phone. She already has $75 and can save an additional $7 per week using money from her after school job. How much total money would Emily have after 4 weeks of saving? *

Answers

Answer:

$103

Step-by-step explanation:

whats the answer please​

Answers

The answer is B. Corresponding
The answer is b corresponding because they a both on the same side and in that place.

Which line is perpendicular to 3y + 2x = 9?

Options:
6x - 4y = 12
2x + 3y = 6
y + 3x = -2
y = -2x + 6

Answers

Answer:

2x + 3y = 6

Step-by-step explanation:

Geometry math question help please look at the attachment. :)

Answers

Answer:

x=20

Step-by-step explanation:

2x + 20 = 3x

-2x        -2x

20 = x

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