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Mama L [17]
3 years ago
10

In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the enti

re batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted
Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

X \sim Hyp (N = 810, M=102, n=4)

P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}  

And solving we got:

P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Step-by-step explanation:

For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:

X \sim Hyp (N = 810, M=102, n=4)

P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}  

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes  

And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

P(X=0)

And using the probability mass function we got:

P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}  

And solving we got:

P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

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There are four white socks and six black socks in a drawer. What is the probability of selecting a white sock, not replacing it,
m_a_m_a [10]

Answer:

A: 1/3

Step-by-step explanation:

please mark this answer as brainlest

8 0
3 years ago
Whats the answer to 3,000(6-2) + 3,000
yuradex [85]
The answer is 15000

3000 \times ( 6 - 2) = 12000  + 3000 = 15000
3000*6=1800
3000*-2=-6000
18000-6000=12000
12000+3000=15000
8 0
4 years ago
Help me pleaseeeeeeeeeeeeeeeeeeeee
NARA [144]
14.

1. 7 × 7 = 49
2. 7 × 3 × 3 = 63
3. 7 × 3 × 4 = 84
4. 7 + 3 + 4 = 14

Hope that helps! Feel free to ask for a more explanation, if needed.
8 0
3 years ago
MANUFACTURING A shoe manufacturer spends $2.50 to make sandals and $4 to make running shoes. During a typical month, they spend
jonny [76]

Answer:

200 pairs of sandals

Step-by-step explanation:

Represent the sandals with x and the running shoes with y.

In a typical month:

Total = 2500

In April

Total = 3000

Required

The number of sandals in a typical month

<u>In a typical month:</u>

If 1 sandal costs 2.50, then x costs 2.50x

If 1 running shoe costs 4, then y costs 4y

The total is:

2.50x + 4y = 2500

<u>In April:</u>

If 1 sandal costs 2.50, then 2x costs 5x ---- <em>we used 2x because the pairs is doubled </em>

If 1 running shoe costs 4, then y costs 4y

The total is:

5x + 4y = 3000

The equations are:

5x + 4y = 3000

2.50x + 4y = 2500

Subtract

5x - 2.50x + 4y - 4y = 3000 - 2500

2.50x = 500

x = \frac{500}{2.50}

x = 200

8 0
3 years ago
I need to know the answer please , thank you !
n200080 [17]
The answer is D your welcome
3 0
3 years ago
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