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Thepotemich [5.8K]
3 years ago
10

Which number in the answer choices below is not equivalent to the other

Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

B. 60%

Step-by-step explanation:

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Assume a Poisson random variable has a mean of 5 successes over a 125-minute period.
goldenfox [79]

Answer:

a

\mu  =  25

b

\lambda  =0.04

c

P(X > 65 ) =0.0742  

Step-by-step explanation:

From the question we are told that

  The  number of success is  n =  5

   The time duration is  N  =  125 minutes

   

Generally the mean of the random variable is mathematically represented as

       \mu  =  \frac{N}{n}

=>    \mu  =  \frac{125}{5}

=>    \mu  =  25

Generally the rate parameter is mathematically represented as

      \lambda  =  \frac{1}{\mu}

=>   \lambda  =  \frac{1}{25}

=>   \lambda  =0.04

Generally the cumulative distribution function for exponential distribution function is  

   F(x) = \left \{0 \ \ \ \ \ \  x \le  0}} \atop {1 -e^{-\lambda t }\   x>0}} \right.

Generally the probability that the time to success will be more than 63 minutes is mathematically represented as

 P(X > 65 ) =  1 - P(X \le 65)

Here

    P(X \le 65) =  1 -e^{-65 *  \lambda }  

=>       P(X \le 65) =  1 -e^{-65 *  0.04 }    

=>       P(X \le 65) = 0.92573    

So

     P(X > 65 ) =  1 - 0.92573  

     P(X > 65 ) =0.0742  

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4 years ago
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Answer:

(3,-2) & (0,3)

Step-by-step explanation:

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sin(C) = 5/13.93
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189 divided by 9941.4
vovikov84 [41]
The answer is 0.0190114068441065
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