Math %

[RMS]

(1 pt) Employment data at a large company reveal that 60 % of the
workers are married, that 21 % are college graduates, and
that 1/6 of the college graduates are married.
What is the probability that a randomly chosen worker is:

b) married but not a college graduate?
Answer = %

c) married or a college graduate?
Answer = %

Can anyone help me out?

 

[stapel]

In any 1000 workers, 600 will be married, and 210 will be graduates. Of the graduates, (1/6)(210) = 35 will be married. So how many of the 600 married folks aren't graduates?

Eliz.

 

[RMS]

married or a college graduate?
Answer = 77.5%

This is the answere i got that is correct.

But i have not figured out question B

 

[galactus]

(1 pt) Employment data at a large company reveal that 60 % of the
workers are married, that 21 % are college graduates, and
that 1/6 of the college graduates are married.
What is the probability that a randomly chosen worker is:

b) married but not a college graduate?
Answer = %

c) married or a college graduate?
Answer = %

Can anyone help me out?

 

[RMS]

answer b is 56.5
and C is 77.5

Thanks you have been a great help...this site rocks

 

[stapel]

In any 1000 workers, 600 will be married, and 210 will be graduates. Of the graduates, (1/6)(210) = 35 will be married. So how many of the 600 married folks aren't graduates?

i have not figured out question B

Use the numbers provided. Given 1000 workers, 600 will be married. Of the 210 graduates, 35 are married, leaving 600 - 35 = ??? that are married but not graduates. Figure out the answer, and plug it into:

. . . . .(married but not graduates) ÷ (total)

Evaluate to find the requested percentage.

Eliz.

 

[soroban]

Hello, RMS!

Eliz is absolutely correct . . . did you make a diagram?

Employment data at a large company reveal that 60 % of the workers are married,
that 21 % are college graduates, and that 1/6 of the college graduates are married.
What is the probability that a randomly chosen worker is:

b) married but not a college graduate?

c) married or a college graduate?

Assume 1000 employees at the company.
. . Then 600 are married, 210 are college graduates.
. . And 1/6 of 210 = 35 are married college graduates.

Insert these facts into a "Venn diagram".

      * - - - - - - - - - - - - - - *
      |                         225 |
      |     * - - - - - *           |
      |     | Married   |           |
      |     |     * - - + - - *     |
      |     | 565 |     |     |     |
      |     |     | 35  |     |     |
      |     |     |     |     |     |
      |     * - - - - - * 175 |     |
      |           |           |     |
      |           |   College |     |
      |           * - - - - - *     |
      |                             |
      * - - - - - - - - - - - - - - *

See? . . . Now you have the whole picture!

 

[RMS]

thanks it works