1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry_Shevchenko [17]
3 years ago
10

work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci

des that the two individuals who get to attend will have their names randomly drawn from a hat. ​(a) Determine the sample space of the experiment. That​ is, list all possible simple random samples of size . ​(b) What is the probability that attend the​ conference? ​(c) What is the probability that attends the​ conference? ​(d) What is the probability that stays​ home?
Mathematics
1 answer:
NISA [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

Let D = Dominique, M = Marco, R = Roberto and J = John

a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below

S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

Total sample space = 4!/2!2!

Total sample space = 4*3*2!/2!2

Total sample space = 12/2 = 6

The sample space are S = {DM, DR, DJ, MR, MJ, RJ}

b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

n(E) is the event of Dominique and Marco attending the conference.

E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

c) For John to attend the conference, the event outcome will be given as;

E = {DJ, MJ, RJ}

n(E) = 3

n(S) = 6

Probability for John to attend the conference is 3/6 = 1/2

d) Probability that John stays at home = 1 - Prob (John attends the conference)

Probability that John stays at home = 1 - 1/2

Probability that John stays at home = 1/2

You might be interested in
Use technology or a z-score table to answer the question.
FinnZ [79.3K]

Answer:

C

Step-by-step explanation:

First we find the z-score.

z = (x - μ) / σ

z = (520 - 500) / 60

z = 0.33

Using a calculator or z-score table:

P(z < 0.33) = 0.6293

The probability is approximately 63%.  Answer C

6 0
3 years ago
Find m∠ABD and m∠CBD given m∠ABC = 111∘.
sineoko [7]

Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

------------------------

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD =  = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

7 0
2 years ago
Read 2 more answers
Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
Cerrena [4.2K]

The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

a) down payment = $800.00 ($4,000 x 20%)

b) amount financed = $3,200 ($4,000 - $800)

c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

#SPj1

5 0
2 years ago
Maria makes beaded necklaces. She charges a rate of $0.75 per inch in length plus $0.25 per bead as shown in the expression, whe
sergiy2304 [10]
16x+60y
16(.75)+60(.25)
12+15=27
maria would charge $27 for this necklace
3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce
Vedmedyk [2.9K]

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

4 0
3 years ago
Other questions:
  • Solve log_8 12 = x – 2 . Round your answer to four decimal places.
    15·2 answers
  • A box of photographs contains 13 wedding photographs 4 vacation photographs and 8 holiday photographs one is randomly selected w
    6·1 answer
  • What is 12.3 + 4.7 estimate sum and difference
    9·2 answers
  • lily is making granola she uses almonds walnuts and pecans in tge ratio 4:3:8 lily uses 40ounces of pecans
    7·1 answer
  • What is 4 . 9 equal 9 . 4
    11·1 answer
  • 6x - 9= y y= -3x using the system of linear equation by substitution Help please! This is due really soon
    11·1 answer
  • A circle with area 81 pi has a sector with a central angle of 120 degrees. What is the area of the sector?
    10·2 answers
  • What is the solution to the inequality |2n+5|&gt;1​
    10·1 answer
  • Help me please?!?!? Giving brainly!
    14·2 answers
  • 1. Which of these fractions has the greatest value?" Mark only one oval. 7/12 5/6 2/3​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!