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Ipatiy [6.2K]
2 years ago
11

A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rat

ed capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.
x 16 18 20
p(x) 0.5 0.3 0.2
Calculate E(X)
Mathematics
1 answer:
Mrac [35]2 years ago
5 0

Answer:

E(X) = 17.4

Step-by-step explanation:

We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:

E(X) =  ∑xp(x)  where x are the specific values of x and p(x) the probability associated with this x value.

In this way the expexted value is

E(X) =  ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 =  17.4

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1. Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.
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Answer:-

Central angle , Ф/2π , A = Ф/2 r²

The ratio is 1/3 , V = 1/3 Bh

The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

Step-by-step explanation:

* Lets revise the rules of the area of the sector of a circle

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- The area of the sector which has a central angle Ф radians is

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* Lets complete the missing in the 1st picture

- The ratio of the sector's area A to the circle's area is equal to the

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<em>- </em>Multiply both sides by πr² to get <u>A = Ф/2 r²</u> where Ф is the measure

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* Lets revise the rules of the volume of the prism and the volume

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- The volume of the prism = area of the base × its height

- The volume of the pyramid = 1/3 × area of the base × its height

- From them the ratio of the volume of the pyramid to the volume

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- The formula of the volume of the prism is V = Bh, where B is the

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<u></u>

* Lets revise the standard form of the equation of a circle with

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∵ x² - 8x + y² - 2y - 8 = 0

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∴ (4)² + (1)² - r² = -8

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∴ r² = 25

* Substitute the values of h , k , r in the equation of the standard

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* The equation of the circle in standard form is <u>(x - 4)² + (k - 1)² = 25</u>

<u></u>

8 0
3 years ago
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