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pychu [463]
3 years ago
15

A shipment of 12 microwave ovens contains 3 defective units. A vending company has ordered 4 of these units, and because all are

packaged identically, the selection will be at random. What is the probability that at least 2 units are good?
Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0
In this problem, 4 units must be chose from a shipment of 12 microwave ovens containing 3 defective units. 

To solve for the probability that at least 2 units are good,
[(9c2 x 3c2) + (9c3 x 3c1) + 9c4] / 12c4 
= 486/495 
= 54/55 or 0.9818
pishuonlain [190]3 years ago
4 0
P(defective) = 3/12 = 1/4
P(good) = 1 - 1/4 = 3/4
P(2\ good)=4C2\times0.75^{2}\times0.25^{2}=0.211
P(3\ good)=4C3\times0.75^{3}\times0.25=0.422
P(4\ good)=0.75^{4}=0.316
The probability that at least 2 units are good is given by:
P(2 good) + P(3 good) + P(4 good) = 0.211 + 0.422 + 0.316 = 0.949.

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Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000  

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

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The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

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Now, According to question

The total number of people attending a ballgame =  The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000           ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $  ×4 g = $ 176,000           .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

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Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴  g = \frac{232000}{8}

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e  r + g = 34,000  

or , r = 34,000 - g

∴  r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000  Answer

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You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

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