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
Nesterboy [21]
3 years ago
6

A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m

ultiple jobs. Round the answer to at least four decimal places. The probability that less than 7.1% of the individuals in this sample hold multiple jobs is
Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

You might be interested in
**30 POINTS**
leonid [27]

Answer:....

What?

Step-by-step explanation:

7 0
3 years ago
What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the
juin [17]

Answer:

Step-by-step explanation:

⊕ The slope will increase

4 0
3 years ago
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are al
notsponge [240]

Answer:

w = V/lh

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.

volume of a rectangular prism,V = lwh

Where,

l = length of the base of the prism

w = width of the base of the prism

h = height of the prism

Rewrite the formula to find w

V = lwh

w = V/lh

That is,

width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism

5 0
3 years ago
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
Nezavi [6.7K]

Answer:

C.) 63

Step-by-step explanation:

You know what you insisted on me answering, so I'll answer here.

35 ÷ 5 = 7

7 x 9 = 63

7 0
3 years ago
Read 2 more answers
Add the two expressions.
Ierofanga [76]
-3.2b + 9
by adding like terms together.
3 0
3 years ago
Read 2 more answers
Other questions:
  • If two angles have the same measure, then they are right angles true or false
    14·2 answers
  • A store has 255 wool ponchos to sell. There are 112 adult-sized ponchos that sell for $45 each. The rest are kid-sized and sell
    5·1 answer
  • fifteen percent of the workers at nationwide industries earn minimum wage. if 24 workers earn minimum wage, how many total worke
    11·2 answers
  • For every 2 male birds in a bird cage there are 5 females what is the ratio of males to females
    14·2 answers
  • Use the formula to evaluate the series 1+2+4+8+...a10
    9·1 answer
  • Find the unit rate at which Jonas is paid.​
    11·2 answers
  • Can someone help me with this math homework please!
    15·2 answers
  • The ratio of roses to carnations is 7 to 5. If 96 flowers are needed for table decorations,
    9·1 answer
  • Find the diameter and the circumference of the circle below r=8cm
    8·1 answer
  • Please helppp me :( it’s c^4/c^3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!