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astra-53 [7]
4 years ago
11

Why do the probability of an event and the probability of its complement add up to 1

Mathematics
1 answer:
Ad libitum [116K]4 years ago
5 0
<span>the probability of an event and the probability of its complement add up to 1 because the total events are the even it self and its compliment, so its probability equal to 1 because these are all the possible events that will occur. for example a coin toss, an event head will happen 0.5, and its complement is tails which will also happens 0.5</span>
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The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop
muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

7 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes (MB). The size of the
Margarita [4]

Answer:

880 high-quality version

Step-by-step explanation:

I think the below is your full question:

<em>A Web music store offers two versions of a popular song. The size of the standard version is 2.1megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4821 MB. How many downloads of the high-quality version were there?</em>

Here is my answer:

Let x is the number of high-quality version

So the number of standard version= 1290 - x

We also know:  total download size of 4821 MB. which means:

4.5x + 2.1(1290-x) = 4821

<=> 4.5x+2709-2.1x=4821

<=> 2.4x=2112

<=> x=880

So there were 880 high-quality version

5 0
3 years ago
Read 2 more answers
What is the slope of the line shown in the graph? A)-5 B)-1/5 C)5 D)1/5
zhuklara [117]

Answer:

5

Step-by-step explanation:

To find the slope, you use rise/run. In this case... the rise is 5 up and the run is 1 across. Therefore it is 5/1 which is the same as 5. Hope this helped!


3 0
3 years ago
Read 2 more answers
A store sold a total of 21,650 balls. It sold 11,795 baseballs It sold 4,150 fewer basketballs than baseballs. The rest of the b
oksian1 [2.3K]

Answer:

The store sold 2,210 footballs.

Step-by-step explanation:

7 0
3 years ago
!!! I NEED HELP ASAP!!! Please can you help me fill in this chart for 45-45-90 and 30-60-90 triangles I know how to do the first
Marina86 [1]

Answer:

u add 45 + 45 +90 that’s 180 and all triangles equal 180

Step-by-step explanation:

8 0
3 years ago
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