Answer:
0.381 is the probability that the number of drivers will be at most 18.
Step-by-step explanation:
We are given the following information in the question:
The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.
- The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
- The variance of Poisson distribution is equal to the mean of Poisson distribution.
a) P(number of drivers will be at most 18)
Formula:


Thus, 0.381 is the probability that the number of drivers will be at most 18.
Answer:
![\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B95%5E2%7D%7D%7B17%5Ccdot95%5E4%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%5C%2C025%7D%7D%7B1%5C%2C384%5C%2C660%5C%2C625%7D)
Step-by-step explanation:
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)/(a^c) = a^(b-c)
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![\dfrac{190^3}{68^2}\times\dfrac{34}{95^{\frac{19}{3}}}=\dfrac{(2\cdot 95)^3}{(2\cdot 34)^2}\cdot\dfrac{34}{95^6\cdot 95^{\frac{1}{3}}}=2^{3-2}95^{3-6-\frac{1}{3}}34^{1-2}\\\\=2\cdot 95^{-3\frac{1}{3}}\cdot 34^{-1}=2\cdot 95^{-4+\frac{2}{3}}\cdot 34^{-1}\\\\=\dfrac{2\sqrt[3]{95^2}}{95^4\cdot 34}=\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}\\\\=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}](https://tex.z-dn.net/?f=%5Cdfrac%7B190%5E3%7D%7B68%5E2%7D%5Ctimes%5Cdfrac%7B34%7D%7B95%5E%7B%5Cfrac%7B19%7D%7B3%7D%7D%7D%3D%5Cdfrac%7B%282%5Ccdot%2095%29%5E3%7D%7B%282%5Ccdot%2034%29%5E2%7D%5Ccdot%5Cdfrac%7B34%7D%7B95%5E6%5Ccdot%2095%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%3D2%5E%7B3-2%7D95%5E%7B3-6-%5Cfrac%7B1%7D%7B3%7D%7D34%5E%7B1-2%7D%5C%5C%5C%5C%3D2%5Ccdot%2095%5E%7B-3%5Cfrac%7B1%7D%7B3%7D%7D%5Ccdot%2034%5E%7B-1%7D%3D2%5Ccdot%2095%5E%7B-4%2B%5Cfrac%7B2%7D%7B3%7D%7D%5Ccdot%2034%5E%7B-1%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2%5Csqrt%5B3%5D%7B95%5E2%7D%7D%7B95%5E4%5Ccdot%2034%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B95%5E2%7D%7D%7B17%5Ccdot95%5E4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%5C%2C025%7D%7D%7B1%5C%2C384%5C%2C660%5C%2C625%7D)
Answer:
15
Step-by-step explanation:
Let's call the mystery number x.

Hope this helps!