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VLD [36.1K]
3 years ago
15

The number of traffic accidents occurring on any given day in Coralville is Poisson distributed with mean 5. The probability tha

t any such accidentinvolves an uninsured driver is 0.25, independent of all other such accidents.
Calculate the probability that on a given day in Coralville there are no trafficaccidents that involve an uninsured driver.



The answer is 0.278. Could you please explain why?
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

The answer is 0.2865

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 time interval.

In this problem, we have that:

The mean number of accidents on any given day in Coralville is 5. Of those, 25% are with an uninsured drive.

So \mu = 5*0.25 = 1.25

Calculate the probability that on a given day in Coralville there are no trafficaccidents that involve an uninsured driver.

This is P(X = 0). So

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

P(X = 0) = \frac{e^{-1.25}*(1.25)^{0}}{(0)!} = 02865

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Read 2 more answers
Which of the following are prime factorizations of the number 70? Check all<br> that apply.
Shtirlitz [24]

The prime factorization of 70 is 2*5*7

Further explanation:

First of all let us define prime factorization

Prime factorization consists of all the prime multiples of a number i.e. the factors should also be prime numbers

Given number is 70

The multiples of 70 are

70 = 2*35 => 35 is composite number

70 = 5*14 => 14 is a composite number

70 = 7*10 => 10 is a composite number

70 = 2*5*7 => All factors are prime so

The prime factorization of 70 is 2*5*7

Keywords: Factorization, Prime factors

Learn more about prime factorization at:

  • brainly.com/question/12938965
  • brainly.com/question/13018049

#LearnwithBrainly

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