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Dovator [93]
3 years ago
9

In analyzing hits by certain bombs in a war, an area was partitioned into 570 regions, each with an area of 0.75 km^ 2 . A total

of 535 bombs hit the combined area of 570 regions Assume that we want to find the probability that randomly selected region had exactly two hits the Poisson distribution formula

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

0.1723 = 17.23% probability that randomly selected region had exactly two hits.

Step-by-step explanation:

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

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

535 bombs hit the combined area of 570 regions

This means that the mean number of hits per region is given by:

\mu = \frac{535}{570} = 0.9386

Find the probability that randomly selected region had exactly two hits

This is P(X = 2).

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

P(X = x) = \frac{e^{-\0.9386}*(0.9386)^{2}}{(2)!} = 0.1723

0.1723 = 17.23% probability that randomly selected region had exactly two hits.

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Novay_Z [31]
So 12 mins to 600 feet
35 mins=1900 feet
find the slope which is change in top over change in bottom (aka slope) so to find do
(y1-y2)/(x1-x2)
we want, per minute, so put the time as x1 and x2
x1=12
y1=600
x2=35
y2=1900
subsitutte
(600-1900)/(12-35)=-1300/-23=56.5 per minute
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4 0
3 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

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8 0
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Answer:

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Answer:

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