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alexandr402 [8]
3 years ago
8

Total crimes 21,790,654. Roberry is 408, 016 and Burglary is 2,050,992 What are their percent in crimes rounded to the nearest p

ercent for each two crimes
Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

Percent of Robbery =2 \%

Percent of Robbery =9 \%

Step-by-step explanation:

Given that total number of crimes = 21,790,654.

total number of Robbery = 408, 016 and

total number of Burglary = 2,050,992

Now we need to find about what are their percent in crimes rounded to the nearest percent for each two crimes.

So apply the percent formula

Percent=\frac{Part}{Whole}\times 100 \%

Then percent of Robbery =\frac{408016}{21790654}\times 100 \%=0.01872\times 100 \%=2 \%

Then percent of Robbery =\frac{2050992}{21790654}\times 100 \%=0.094122\times 100 \%=9 \%

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5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

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To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have \mu = 43, \sigma = 4

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

Z = \frac{45 - 43}{4}

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If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

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P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

4 0
3 years ago
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