50k in 2018 what is it?

A bag contains 9 red marbles, 5 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find t

IRINA_888 [86]

a) 0.0260

b) 0.0681

Explanation:

a)

The bag contains:

r = 9 (number of red marbles)

w = 5 (number of white marbles)

b = 6 (number of blue marbles)

So, the total number of marbles in the bag at the beginning is:

$n=9+5+6=20$

At the 1st attempt, the probability of choosing a red marble is:

$p(r)=\frac{r}{n}=\frac{9}{20}$ (1)

At the 2nd attempt, the 1st red marble is not placed back, so now the number of marbles is (n-1), while the number of red marbles left is (r-1). So the probability of choosing another red marble at the 2nd attempt is

$p(r)=\frac{r-1}{n-1}=\frac{8}{19}$ (2)

With a similar argument, the probabilities of selecting a red marble in the 3rd and 4th attempt are

$p(r)=\frac{7}{18}$ (3)

$p(r)=\frac{6}{17}$ (4)

Therefore, the probability of drawing 4 red marbles in the first 4 attempts without replacing is:

$p(rrrr)=\frac{9}{20}\frac{8}{19}\frac{7}{18}\frac{6}{17}=\frac{3024}{116280}=0.0260$

b)

At the 1st draw, the probability that the marble is not red is:

$p(r^c)=1-p(r)=1-\frac{9}{20}=\frac{11}{20}$

At the 2nd draw, there are 9 red marbles left and 19 total marble left. So, the probability of NOT drawing a red marble is:

$p(r^c)=1-\frac{9}{19}=\frac{10}{19}$

At the 3rd draw, there are 9 red marbles left and 18 total marbles left. So, the probability of NOT drawing a red marble is:

$p(r^c)=1-\frac{9}{18}=\frac{9}{18}$

Finally, with a similar argument the probability of NOT drawing a red marble at the 4th and last attempt is:

$p(r^c)=\frac{8}{17}$

So, the total probability of drawing 4 non-red marbles in the first 4 attempts is:

$p(r^cr^cr^cr^c)=\frac{11}{20}\frac{10}{19}\frac{9}{18}\frac{8}{17}=\frac{7920}{116,280}=0.0681$

6 0

3 years ago

Cost of Quality Report

yarga [219]

Answer:

Cost of Quality Report

Quality Cost Quality Cost Percent of Total Percent of

Classification Quality Cost Total Sales

Prevention $23,400 10.0% 1.3%

Appraisal $46,800 20.0% 2.6%

Internal failure $70,200 30.0% 3.9%

External failure $93,600 40.0% 5.2%

Total $234,000 100.0% 13.0%

percent of total sale = quality cost/$1,800,000

3 0

3 years ago

While approaching a group of colleagues, Patrice overheard what she believed were inappropriate comments about another team memb

aivan3 [116]

Answer:

The question is incomplete, the options are missing. The options are the following:

a) Suggest to Patrice that spreading negative information learned from eavesdropping is not healthy for the workplace.

b) Thank Patrice for speaking up and forward the item to a neutral third party for handling.

c) Immediately fire the team members who made the comments.

d) Contact the team member who was the subject of the comments to see if he or she was offended.

e) Thank Patrice for her input, but based on the harmlessness of the situation, take no further action.

And the correct answer is the option B: Thank Patrice for speaking up and forward the item to a neutral third party for handling.

Explanation:

To begin with, these kind of situations are most common than expected in the workplace so that is why that nowadays exist a lot of seminars about certain subjects that involves the behavior in the organization and furthermore there is the regular action of the Human Resources Department that takes cares of all the penalties and the solutions when it comes to subjects regarding the employees of the business and their relationship both with each other and with the company. So the correct way to act in this scenario would be to thank Patrice and tell her that the manager would inform to the Human Resources Department about it, being this last one a third party in the situation itself.

6 0

3 years ago

Ladiator Apparel is the market leader in the sportswear industry. Though most of its resources are common to those of its compet

topjm [15]

D) the company’s raw materials
The reason being is that it’s the only option where it has more unique potential cause the other ones anyone could get

4 0

2 years ago

18. Acidic foods, such as tomatoes or wine, are important in a braise to

Ksivusya [100]

A. thicken the sauce.

Acidic foods, such as tomatoes or wine, are important in a braise to thicken the sauce.

5 0

3 years ago

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