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oksian1 [2.3K]
2 years ago
12

An urn contains 12 balls, five of which are red. Selection of a red ball is desired and is therefore considered to be a success.

If three balls are selected, what is the expected value of the distribution of the number of selected red balls
Mathematics
2 answers:
SVEN [57.7K]2 years ago
8 0

Answer:

2/10

Step-by-step explanation:

sp2606 [1]2 years ago
4 0
Assume there are equal amount of a lot of red and other color balls in the urn for you to select r=red and o=other, all the possible outcome for selecting 3 in sequence is 1r2r3r, 1r2r3o,1r2o3r, 1o2r3r, 1r2o3o, 1o2r3o, 1o2o3r, 1o2o3o. In terms of expected value, 1 case for all 3 reds, 3 cases for 2 reds, 3 cases for 1 red, and 1 case for 0 red. Equal large amount of red and other means all 8 outcomes has equal possibilities so each is 1/8 and 3 reds will have possibility of 1/8, 2 reds will have 3/8, 1 red will have 3/8 and no red will have 1/8. However the question tells you the red and other don’t have equal amounts, 5/12 possibility for each pick for red and 7/12 possibility for other. So three reds becomes 5/12*5/12*5/12; 2 reds becomes 5/12*5/12*7/12 multiply by 3 (since 3 cases); 1 red is 5/12*7/12*7/12 multiply by 3 (since 3 cases); 0 red is 7/12*7/12*7/12. Out of every 10 picks, you will expect to pick all 3 reds with the chance less than once, 2 reds with the chance more than 3 times and 1 red with the chance more than 4 times and no red with the chance less than 2 times. (I forgot how to exactly represent expected value) and possibility distribution is estimated 3 reds around 7%, 2 reds around 30%, 1 red around 42% and no red around 20%.
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The first inequality deals with the total number of balloons. She wants the total to be at least 500, so add the variables and set it greater than or equal to 500.

The second inequality deals with the helium. 2L comes from each latex balloon using 2 ft^3 of helium. 0.5M comes from each Mylar balloon using 0.5 ft^3. Together they can use no more than 85% of the 1000 ft^3 tank; 85% = 0.85; 0.85×1000=850. "No more than" tells us it must be less than or equal to.
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2 years ago
Joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. She serves the soup in 280 ml portions, correct to the nearest 1
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Answer:

Joy definitely does have enough soup for 22 people.


Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml  :

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters  :

Lower Bound:6.25  L

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The school cafeteria has 4 rows of tables each row has 22 seats. The school patio has 12 tables. Each table seats 4 students. Ho
o-na [289]

Answer:

Here the answer, dearie.

Step-by-step explanation:

22 \times 4 = 88 \\ 12 \times 4 = 48 \\ 88 + 48 = 136

So, 136 people can sit in cafeteria and the patio.

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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5
elena-s [515]

Answer:

y-1=\frac{1}{23} (x-8)

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.

Point slope:y-y_1=m(x-x_1)

m\neq -23 in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is m=\frac{1}{23}.

We will substitute m=\frac{1}{23} and x_1=8\\y_1=1.

y-1=\frac{1}{23} (x-8).

This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).



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