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poizon [28]
4 years ago
11

The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution

to approximate the probability that among 14,000 cars passing through
 this tunnel, exactly two will have a flat tire.
A.0.8783
B.0.1947
C. 0.1460
D.0.1217
Mathematics
1 answer:
timama [110]4 years ago
5 0

Answer: D. 0.1217

Step-by-step explanation:

Given : The probability that a car will have a flat tire while driving through a certain tunnel :p=0.00005.

n= 14000

Then, the mean number of cars will have a flat tire while driving through a certain tunnel = np

=14000\times0.00005=0.7

Poisson Distribution Formula : P(x)=\dfrac{e^{-\lambda} \lambda^x}{x!}

For x= 2

P(2)=\dfrac{e^{-0.7} (0.7)^2}{2!}=0.121663399429\approx0.1217

Hence, the required probability = 0.1217

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<h3>What is box plot?</h3>

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

Given information-

Box plot labeled 2nd period with min at 77, Q1 at 78, median at 89, Q3 at 92, max at 100.

Box plot labeled 4th period with min at 72, Q1 at 82.5, median at 89, Q3 at 96, max at 97. 5.

From the box plot we can see the points as,

  • The maximum score of the 2nd period class is 77 and the 4th period class is 72, but this does not show the better performance of the class.
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Hence, the 4th period class should get the reward. Though the medians are the same, the first and third quadrilles are higher, so the students did better on average than in the 2nd period class.

Learn more about the box plot here;

brainly.com/question/14277132

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