Question

Will fan and medal!!!!

In the workplace, racial discrimination is a very serious issue. Consider a company in which 20% of the employees are African-American. At the end of the year, promotions are awarded to a group of employees. Out of the 40 promotions awarded, five are African-American. Given that the awarding follows the binomial distribution, B(40,.2).

a) How many African-Americans would you expect to get promotions?

b) What is the probability that five African-Americans receive promotions?

c) What is the probability that five or fewer African-Americans receive promotions?

Answer 1

its b i think

Answer 2

It is not a multiple choice question

Answer 3

A, B, and C are questions regarding to the paragraph.

Answer 4

oh lol sorry then XDD

Answer 5

I did a problem like this yesterday

Answer 6

a) How many African-Americans would you expect to get promotions?
40 * .20

Answer 7

I got A, I just cannot figure out b and c

Answer 8

@owen3

Answer 9

Sorry for the late response, my wifi was being weird

Answer 10

b)
this is a binomial probability distribution problem

Answer 11

40 choose 5 * .2 ^ 5 * .8^35

Answer 12

Oh okay

Answer 13

But then how do I do fewer than five?

Answer 14

I do not think I did b correctly

Answer 15

probability of 5 or fewer=
40 choose 0 * .2 ^ 0 * .8^40
+ 40 choose 1 * .2 ^ 1 * .8^39
+ 40 choose 2 * .2 ^ 2 * .8^38
+ 40 choose 1 * .2 ^ 3 * .8^37
+ 40 choose 1 * .2 ^ 4 * .8^36
++ 40 choose 1 * .2 ^ 5 * .8^35

Answer 16

so do I just do .8^40 + .8^39 ect.?

Answer 17

You can use a calculator to expedite these calculations.

Answer 18

But is that what I am supposed to do?

Answer 19

yes i believe so
does it say to use 'normal approximation' ?

Answer 20

It doesn't give any directions

Answer 21

Thank you so much!!