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
labwork [276]
3 years ago
15

In the workplace rascial discrimination is a very serious issue. consider a company in which 20% of the employees are African-Am

erican. 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?
d) Do you think the company is suspect of racial discrimination? Explain your thinking.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

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

Since we have been asked to follow the binomial distribution, (B (40,0.2)

To calculate the mean of the BPD = n*p

where n is the number of promotions and p = probability

= 40 x 0.2 = 8

You expect 8 promotions.

b)  

The probability that 5 African-Americans = P (X = 5)

P( X = 5 ) = 40 sqr root ( 5 * 0.2^5 * 0.8^35 ) = 0.0854

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

P( X <= 5) = P(X=5) + P(X=4) + ... + P(X=1) + P(X=0)

faster way is calculator

binomcdf(40, .2, 5) = 0.1613

Step-by-step explanation:

You might be interested in
The water was pumped out of a backyard pond. What is the domain of this graph?
Nata [24]

Answer:

The domain of this graph is

d. real numbers from 0 to 7

Step-by-step explanation:

from the graph you can see that all the possible x values are real numbers from 0 to 7

hope this helps!!

6 0
3 years ago
There are 1,906,428 cases of coronavirus confirmed in the
Ber [7]

Answer:

<h2>118,389 </h2>

Step-by-step explanation:

1,906,428/100

19064.28 multiply by 6.21

118389.1788  then round answer to whole number

118,389

<h3 /><h3><u>Brainliest Please!</u></h3><h3 />
5 0
3 years ago
The table shows the solution to the equation |2x − 3| − 1 = 2: Step 1 |2x − 3| = 2 + 1 Step 2 |2x − 3| = 3 Step 3 2x − 3 = 3 or
Ronch [10]
Step 1 is the correct answer because to begin solving you must add 1 to both sides of the equation
4 0
3 years ago
Using pythagoras theorem.
Nat2105 [25]
My friend... My method wasn't wrong and I couldn't find any mistake on my procedure... Check it out and analyze it by yourself... 
Download docx
3 0
3 years ago
Read 2 more answers
One half of the sum of 7 and k
igomit [66]
The answer could be (7+k)÷2
4 0
3 years ago
Other questions:
  • A conical cup is 15 cm long. It has a radius of 4 cm. How many liters of water will the cup hold? 1 liter = 1000 cm3.
    9·1 answer
  • what is the algebraic equation 3 times the sum of a number and 7 is 2 less than five times the number
    5·1 answer
  • Jai bought a helmet and a pair of skates.
    8·1 answer
  • What is the perimeter of triangle ABC ?
    11·2 answers
  • 8×7×3 nooooooooooooooow
    15·1 answer
  • If A 1 = 3 and A ( n + 1 ) = 2 A n   , which equation represents the explicit formula for the sequence? A. A n = 2 · 3 n B. A n
    11·1 answer
  • Item 6<br> How many minutes are equal to 11 hours?
    11·2 answers
  • PLEASE HELP! Whoever solves it first gets Brainliest!
    7·1 answer
  • Marisa has $40 in her savings account and plans to save $x each month for 5 months. The expression $5x + $40 represents the tota
    10·1 answer
  • What is the volume of a right circular cylinder with a radius of 6 m and a height of 9 m?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!