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Inga [223]
3 years ago
13

Probability is the chance that some event will occur or a guarantee.

Mathematics
1 answer:
Luden [163]3 years ago
6 0
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
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Nov 19 F
Digiron [165]

Answer:

l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that

6 0
3 years ago
Help, please simplify.. thank you
Romashka [77]
\bf \cfrac{3.7\times 10^{-12}(42)}{(.000000025)(4.0\times 10^{-15})}\implies 
\cfrac{37\times 10^{-13}(42)}{(25\times 10^9)(4\times 10^{-15})}

\bf \cfrac{37(42)\times 10^{-13}}{25(4)\times 10^910^{-15}}\implies 
\cfrac{1554\times 10^{-13}}{100\times 10^{9-15}}\implies 
\cfrac{1554\times 10^{-13}}{1\times 10^2\times 10^{9-15}}
\\\\\\
\cfrac{1554\times 10^{-13}}{10^{2+9-15}}\implies \cfrac{1554\times 10^{-13}}{10^{-4}}\implies 1554\times 10^{-13}\times 10^4
\\\\\\
1554\times 10^{-13+4}\implies 1554\times 10^{-9}\implies \cfrac{1554}{10^9}\implies 0.000001554
8 0
4 years ago
In the United States, 7% of all registered voters belong to the Green party. A random sample of 50 registered voters is taken. U
Maksim231197 [3]

Answer:

The expected value of the sample proportion is of 0.07.

1. P(p < .02) = 0.0823

2. P(p > .15) = 0.0132

3. P(.05 < p < .09) = 0.4176

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

7% of all registered voters belong to the Green party. 50 voters:

This means that p = 0.07, n = 50

So, for the normal distribution:

\mu = 0.07, s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.07*0.93}{50}} = 0.036

The expected value of the sample proportion is of 0.07.

1. Determine P(p < .02).

This is the pvalue of Z when X = 0.02. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.02 - 0.07}{0.036}

Z = -1.39

Z = -1.39 has a pvalue of 0.0823

So

P(p < .02) = 0.0823

2. Determine P(p > .15).

This is 1 subtracted by the pvalue of Z when X = 0.15. So

Z = \frac{X - \mu}{s}

Z = \frac{0.15 - 0.07}{0.036}

Z = 2.22

Z = 2.22 has a pvalue of 0.9868

1 - 0.9868 = 0.0132

So

P(p > .15) = 0.0132

3. Determine P(.05 < p < .09).

This is the pvalue of Z when X = 0.09 subtracted by the pvalue of Z when X = 0.05. So

X = 0.09

Z = \frac{X - \mu}{s}

Z = \frac{0.09 - 0.07}{0.036}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 0.05

Z = \frac{X - \mu}{s}

Z = \frac{0.05 - 0.07}{0.036}

Z = -0.55

Z = -0.55 has a pvalue of 0.2912

0.7088 - 0.2912 = 0.4176. So

P(.05 < p < .09) = 0.4176

3 0
3 years ago
Let f(x) = 2x2 + x − 3 and g(x) = x + 2.<br><br> Find (f • g)(x)
katen-ka-za [31]

Answer:

(f\cdot g)(x) =  2x^3 + 5x^2-x-6

Step-by-step explanation:

We are given the two functions:

f(x)=2x^2+x-3\text{ and } g(x)=x+2

And we want to find:

(f \cdot g)(x)

Recall that this is equivalent to:

=f(x)\cdot g(x)

Substitute. Hence:

(f\cdot g)(x)= (2x^2+x-3)(x+2)

Expand if desired:

\displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6

3 0
3 years ago
Read 2 more answers
2 dozens of flowers make 5 centerpieces how many dozens does it take to make 20 centerpieces
nordsb [41]
It takes 8 dozens of flour.

5x4=20 so the person needs 4 times more than 2 dozens. 2x4=8 therefor, the person needs 8 dozens of flour.
8 0
4 years ago
Read 2 more answers
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