SOLUTION: After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only four women among the last 19 new employees. She also learns that the pool of a
Algebra ->
Probability-and-statistics
-> SOLUTION: After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only four women among the last 19 new employees. She also learns that the pool of a
Log On
Question 571781: After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only four women among the last 19 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
Help her address the charge of gender discrimination by finding the probability of getting four or fewer women when 19 people are hired, assuming that there is no discrimination based on gender.
(Report answer accurate to 8 decimal places).
P(at most four) = Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Bellevue Credit Company has hired only four women among the last 19 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
Help her address the charge of gender discrimination by finding the probability of getting four or fewer women when 19 people are hired, assuming that there is no discrimination based on gender.
-----------------------------------------
Binomial Problem with n = 19 and p(hire woman) = 1/2
---------------
(Report answer accurate to 8 decimal places).
P(at most four) = binomcdf(19,1/2,4) = 0.0096
===================
Cheers,
Stan H.
===================
The probability of successes in trials where is the probability of success on any given trial is given by:
Where is the number of combinations of things taken at a time and is calculated by
But you need the sum of the probability of 0 out of 19 plus 1 out of 19 plus 2 out of 19 plus 3 out of 19 plus 4 out of 19, so
If you are a glutton for punishment, you can do all of this arithmetic by hand, or you can open an Excel spreadsheet (or Numbers if you are using a MAC) and type in the following:
=BINOMDIST(4,19,0.5,TRUE)
and when you press return you will get the answer. You may have to adjust the number of decimal places presented to be able to see the 8 place accuracy required by the problem. (8 places??? Is your teacher a direct descendant of the Marquis d'Sade?)
John
My calculator said it, I believe it, that settles it
(
