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Hatshy [7]
3 years ago
14

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21%

of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

usual number of yellow eggs = 12

Usual maximum = 21

Usual minimum = 3

Step-by-step explanation:

To solve this, we will use the expected value of a binomial probability.

The formula is;

E(X) = np

Where;

n is sample size

p is probability of success.

We are given;

n = 58

p = 21%

Thus;

usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12

From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.

Thus;

USL = n(p + 3√(p(1 - p)/n)

USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)

USL = 21.48 ≈ 21

LSL = n(p - 3√(p(1 - p)/n)

LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)

LSL = 2.87 ≈ 3

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The result can be shown in multiple forms.

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A submarine was located 200 feet below sea level. If it ascends 55 feet and then drops 87 feet, then which integer represents th
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6 0
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Is this possible<br> Iiii
Gwar [14]

Yeah Imao you usually do these type of questions on a calculator but I've tried writing it on a calculator and it keeps on saying "error" so I'm gonna guess the question is wrong or sth

but if you type out the question without the bracket before the 12 you'll get 6.63

anyway hope this helps- have a good day bro cya)

8 0
2 years ago
What is the length of the diameter of a circle inscribed in a right triangle with the length of hypotenuse c and the sum of the
jeyben [28]

Answer:

  diameter = m - c

Step-by-step explanation:

In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).

The sum of the lengths of the tangents from points A and B on side "c" is ...

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Now, the problem statement defines the sum of side lengths as ...

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and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...

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3 years ago
Solar Impulse 2 is covered in 269.5 square meters of solar cells. Each cell is 150 square centimeters. How many solar cells are
Alik [6]
Area covered by the solar cells = 269.5 m^2

Area of one cell = 150 cm^2

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=> 150 cm^2 * [1m^2 / 1000 cm^2] = 0.150 m^2

Now finf the number of times that 0.150 is contained in 269.5 by dividing 269.5 by 0.150

269.5 = 0.150 = 1,796.67

Which means that the number of cells is betwee 1796 and 1797.
5 0
3 years ago
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