If a plane is traveling 300mph how long will it take to travel 1800 miles

Mathematics

2 answers:

Mekhanik [1.2K]4 years ago

8 0

6 hours 1800/300=6 .

Whitepunk [10]4 years ago

3 0

If you do 1800 divided by 300, the answer is 6 hours

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Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a

Bumek [7]

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:

$P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}$

$P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381$