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
Nadya [2.5K]
3 years ago
6

A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were ch

osen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n = 17 and p = 0.35. (a) What is the mean number of Hispanics on randomly chosen committees of 17 workers? (b) What is the standard deviation σ of the count X of Hispanic members? (c) Suppose that 10% of the factory workers were Hispanic. Then p = 0.1. What is σ in this case? What is σ if p = 0.01? What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 0? As p decreases, σ decreases. As p increases, σ increases. As p increases, σ decreases. As p decreases, σ increases.
Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

as p decreases, sigma decreases.

Step-by-step explanation:

Given that 35%are hispanic. For a sample of 17 members

n = 17

p = 0.35

and the number of Hispanics on the committee would have the binomial distribution

a) Mean of X = E(x) = np = 17(0.35)\\= 5.95

b) Std dev X = \sqrt{npq} =\sqrt{5.95(0.65)} \\=1.9665

c) Here n =17 and p =0.1

Mean = 1.7\\\sigma = \sqrt{17(0.1)(0.9)} =1.234

d) When p = 0.01

Mean = 0.17\\\sigma = 0.410

Thus we find that as p decreases, sigma decreases.

You might be interested in
I’m just wanting to know because this is really bugging me and I am having a brain fart. But if you have 10 assignments left and
Butoxors [25]

You would need to complete 10/68 of an assignment per day if I'm reading you right to finish on time

5 0
3 years ago
Read 2 more answers
A line passes through the points (-4,-1) and (-2,-4) fill in the blanks to complete an equation for the line in point slope form
galben [10]
Blank = blank is y = 7
7 0
3 years ago
Why is division by zero not allowed? Explain using your knowledge of how division is related to subtraction.
anyanavicka [17]
It’s impossible because any number divided by 0 will always just be 0
6 0
2 years ago
Read 2 more answers
At a local preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled, then how many a
Reika [66]

Set up the equation by writing the number of students in the ratio as a fraction:

3/4= (245-x)/x Cross multiply:

3x= 4(245-x) Multiply on right:

3x= 980-4x Add 4x on both sides:

7x= 980 Divide both sides by 7:

x= 140 this is how many girls there are. And:

245-140= 105= boys

5 0
3 years ago
Read 2 more answers
The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the spee
weeeeeb [17]

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

6 0
3 years ago
Other questions:
  • Answer 7x9-8+11-6[5+2(-3)]
    14·2 answers
  • Ice cream cone will hold a scoop of ice cream in shape of a sphere. Scoop of ice cream has a radius of 1.25 inches. How tall sho
    10·1 answer
  • Ayúdeme es para mañana
    13·1 answer
  • Rachels neighborhood kids pool is shaped like a square with an area of 120 what is the appropriate side length of the pool?
    5·2 answers
  • Mr. John Doe was figuring out his federal tax. His income was $26,800, but he was able to subtract $5,000 in deductions. He paid
    8·1 answer
  • Simplify (x minus 4) (x^2 +3x + 2)
    6·1 answer
  • Select the letter of the best answer choice. Use 3.14 or 22/7 for π
    9·1 answer
  • En cuál de los segmentos debe colocarse el número 8 en orden para obtener un número de 5 dígitos divisible por 7.
    15·1 answer
  • Please help me !!!!! :(((((
    7·1 answer
  • What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!