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KIM [24]
3 years ago
14

Divide 28 in the ratio of 3:1

Mathematics
2 answers:
PolarNik [594]3 years ago
7 0
The answer to this is 28:3
Amiraneli [1.4K]3 years ago
6 0
Add up 3 and 1:  3+1 = 4.  The corresponding fractions are 3/4 and 1/4.

(3/4)(28) =21
(1/4)(28)  = 7

Then 21 and 7 add up to 28, as required, and are in the ratio 3:1.
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The local police department must write, on average, 5 tickets a day to keep department revenues at budgeted levels. Suppose the
Alexandra [31]

Using the Poisson distribution, the probabilities are given as follows:

  • Less than 6: 0.3837 = 38.37%.
  • Exactly 6: 0.1586 = 15.86%.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

The parameters are:

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  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

For this problem, the mean is given by:

\mu = 6.4

The probability that exactly 6 tickets are written on a randomly selected day from this population is P(X = 6), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

[tex]P(X = 6) = \frac{e^{-6.4}(6.4)^{6}}{(6)!} = 0.1586/tex]

For less than 6, the probability is given by:

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the same formula to find each value and adding them, we have that:

P(X < 6) = 0.3837.

More can be learned about the Poisson distribution at brainly.com/question/13971530

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