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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:

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B. $0.27

Step-by-step explanation:

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3 years ago
The base of a bicycle ramp has an area of 4 square feet. The ramp is a triangular prism. If the ramp has a height of 2 1/2 feet,
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Answer:


Step-by-step explanation:

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Our Volume is then:

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Answer:

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3 years ago
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It's below in the explanation

Explanation

1. x has to be greater than 2. So 3 and 4 both work

2. x has to be less than 22. So 21 and 20 both work

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4. There isn't a number there. what is 5 less that?

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9.b can be 3 or greater than 3.

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Joe paid $14 for a board game. this is 70% of the original price. what was the original price?
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Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be

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