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HACTEHA [7]
3 years ago
12

A tiny area on a computer chip measures 2.3x10^-3mm by 1.7 x10^-4mm.

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
I think it's B cuz
2.3 * 10^-4 = 16.1
And
1.7 * 10^-4 = 10.2
So 16.1 - 10.2 = 5.9
Rounded= 6
I'm not sure tho
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On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
kobusy [5.1K]

Answer:

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Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

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3 years ago
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