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
Masteriza [31]
3 years ago
15

Data from the U.S. Bureau of Labor Statistics show a steady decline in the average workweek of U.S. production workers from 38.5

hours in 1964 to 33.9 hours in 2006. But employees are spending time working when they are at home and behind the wheel. In a poll conducted for Staples, 18% of small-business managers in the United States reported that they read e-mail messages in the bathroom. Consider the experiment of randomly selecting four small-business managers and learning whether they read e-mail messages in the bathroom.
Let R = reads e-mail in the bathroom, and
N = does not read e-mail in the bathroom.
Firs, define a success, in this case, define the selection of a manager who reads e-mail in the bathromm as success. Of the________possible experimental outcomes, _________outcomes result in exactly 1 success.
All of the sample points with 1 success have the same probability of occurrence. What is this probability?
a. 0.18
b. 0.0048
c. 0.0218
d. 0.0992
Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0

Answer:

Of the 16 possible experimental outcomes, 4 outcomes result in exactly 1 success.

The probability of a determined sample point with an outcome of one success is P=0.0992.

Step-by-step explanation:

We have a proportion of success (the selection of a manager who reads e-mail in the bathroom) of p=0.18.

The sample size is n=4.

We can model this as a binomial random variable.

The sample space is [0, 1, 2, 3, 4].

The possible outcomes for x=0 (that is no manager in the sample reads email in the bathroom) can be calculated as:

C(0)=\dbinom{4}{0}=\dfrac{4!}{4!0!}=1

The same way we can calculate all the other possible outcomes:

C(1)=\dbinom{4}{1}=\dfrac{4!}{3!1!}=\dfrac{4}{1}=4\\\\\\C(2)=\dbinom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{4*3}{2*2}=6\\\\\\C(3)=\dbinom{4}{3}=\dfrac{4!}{3!1!}=4\\\\\\C(4)=\dbinom{4}{4}=\dfrac{4!}{4!0!}=1

The sum of this outcomes is 16 possible outcomes. Of the 16 possible experimental outcomes, 4 outcomes result in exactly 1 success.

The probability of an outcome with 1 success is the product of p (the one that reads email) times (1-p)^3 (the other 3 that do not read emails in the bathroom):

p\cdot (1-p)^3=0.18\cdot0.82^3=0.18\cdot 0.5514=0.0992

You might be interested in
PLS HELP IM GONNA FAIL MATH
stellarik [79]

Answer:

This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.

6 0
2 years ago
Read 2 more answers
Find the slope of the linear equation 2y = -18x + 10
Travka [436]
Go follow me on twitch and o got I
3 0
3 years ago
Read 2 more answers
Solve the system by graphing
trapecia [35]

Solve the system by graphing  

{y = 7 - x   the slope is -1 and the y intercept is 7

{x + 3y = 11   3y = -x+11  y = 1/3 x + 11/3  the slope is 1/3 and the y intercept is 11/3

The solution is x=5, y=2   you will need to graph



Classify the system without graphing

{2x + y = 3      y = -2x+3      

{y = -2x - 1

These lines are parallel   same slope different y intercept

C) Inconsistent System



Classify the system without graphing  

{x + 3y = 9

{-2x - 6y = -18   divide by -2

x+3y = 9

same line

A) Dependent System


8 0
3 years ago
emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily bikes 15 miles, h
vazorg [7]

Answer:

$25.60

Step-by-step explanation:

To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.

16/0.25=64

64*0.4=25.6

$25.60

6 0
2 years ago
Read 2 more answers
Can somebody help me with this math problem?
Sunny_sXe [5.5K]

Answer:

E. all values are answer

Step-by-step explanation:

2x+3 greater than or equal to 7 or 2x+9>11

2(2)+3=7 for this one the number 2 or more could be a answer

2(2)+9=13 for this also number 2 or more could be a answer

so, all of the solutions could be a answer.

3 0
3 years ago
Other questions:
  • What three simpler multiplications can you use to find 8 x 242?
    9·1 answer
  • What is the value of x in the equation? 2/3(x+6)= -18<br> -36<br> -33<br> -24<br> -18
    9·2 answers
  • Working together, it takes two computers
    7·1 answer
  • Solve for c: 2a+3b=c
    9·1 answer
  • The ratio of ages (in years) of three children is 2:4:5. The sum of their ages is 33. What is the ages of each child ?
    5·2 answers
  • Factor each of the following using differences of squares
    5·2 answers
  • FREEE POINTSSSSSSSSSSS
    9·2 answers
  • A circle has a radius of 7 cm. Workout the area of the circle. Give your answer correct to three significant figures.
    14·1 answer
  • Please help asap :(((
    10·2 answers
  • Esteban bought a new stove for $986 on his credit card. He used the stove for eleven years before replacing it. The stove cost h
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!