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3 years ago

Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? (30 pts)

Mathematics

1 answer:

neonofarm [45]3 years ago

6 0

Alright, so first we need to establish two things.

First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.

Second, we need to find out what B is.

Okay, so B is everything that is greater than 2, that's given. That includes 3, 4, and 5. B = {3, 4, 5}. There are three items in this set.

The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.

The answer, I believe, is two. Hope this helps!

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Answer:

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Step-by-step explanation:

From the question we are told that

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The number of yellow peas is u = 173

Generally the sample size is mathematically represented as

$n = k + u$

=> $n = 438 + 173$

=> $n = 611$

Generally the sample proportion for yellow peas is

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=> $\^ p = \frac{173}{611 }$

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=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} }$

=> $E = 0.0357$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.2831 -0.0357$

=> $0.2474 < p < 0.3188$

From the question we are told that it was expected that 25% of the offspring peas will be yellow

Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so it means that the result obtained does not contradict expectation

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