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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.

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The complete question in the attached figure

Part a) 
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ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
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the answer part a) is
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Part b) 
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2 years ago
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a and b are differences of the x coordinates and the differences of the y coordinates of these 2 points.

a = x1 - x2

b = y1 - y2

this is simply because, when you look at the coordinate grid, these 3 items make a right-angled triangle.

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so, what else do you need ?

I am very busy explaining things. I should not spend my little time doing the basic calculations for you (that I could train a monkey to do).

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