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Burka [1]
2 years ago
14

I need this to be solved plzzzz

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

ln2

Step-by-step explanation:

n --> infinity

Integral of 1/N as N varies from n+1 to 2n

Integral of 1/N = ln(N)

Upper limit - lower limit

ln(2n) - ln(n + 1)

ln[2n/(n + 1)]

ln[2/(1 + 1/n)]

As n --> infinity,

1/n --> 0

ln[2/(1 + 1/n)] --> ln2

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A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe
Effectus [21]

Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A \cap B) = P(A) P(B)

In this problem, the events are:

  • Event A: Being female.
  • Event B: Earning over $50,000.

Out of the 1000 people, 450 are female, hence:

P(A) = \dfrac{450}{1000} = 0.45

850 earn over $50,000, hence:

P(B) = \dfrac{850}{1000} = 0.85

375 are women who earn over $50,000, hence:

P(A \cap B)  = \dfrac{375}{1000} = 0.375

The multiplication of the probabilities is:

P(A \cap B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

To know more about probability follow

brainly.com/question/24756209

#SPJ1

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1 year ago
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