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jasenka [17]
3 years ago
9

Name the congruence shortcut

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

its something called an alleyway

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Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour. Wha
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Answer:

0.4204 probability, option b.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour

13 arrivals during an hour, which means that the mean time between arrivals, in minutes is of \mu = \frac{13}{60} = 0.2167

What is the probability that the time between the 15th and 16th arrivals will be more than 4 minutes ?

This is P(X > 4). So

P(X > 4) = e^{-0.2167*4} = 0.4204

So the correct answer is given by option b.

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3 years ago
13.3 × 17.9 <br><br> What is the work?
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John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere o
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Step-by-step explanation:

Area of circle = \pi r^2 , where r = radius of the circle.

In the figure below, we have the complete question.

According to that,

Radius of outer circle = 7ft

Radius of inner circle = 5ft

The probability that the thumbtack will be placed on the inner circle

=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[π is canceled from numerator and denominator

in percent, \dfrac{25}{49}\times100=51.0204081633\%\approx51\%

So, the probability that the thumbtack will be placed on the inner circle = 51%

Hence, the correct option is A. 51%.

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