Answer:
The probability is 0.2212
Solution:
As per the question:
Poisson rate, 
Now,
Let
X: time of waiting for the next vehicle on the highway
Now,
To find the probability of the next vehicle to arrive after 10 s
The probability distribution function is given by:
Now,
P(X < x) = 
For X> 0,
P(X > x) = 
P(X < 5) = 
The average speed is 0.55 m/s
<h3>What was his displacement?</h3>
Displacement is defined as the change in position of an object.
Mathematically,
D = Initial value - Final Value
D = 30 - 5 = 25m
Now , We have to find the average velocity,
Average velocity is calculated by the formula V = D/t,
where V equals the average velocity, D equals total displacement and t equals total time.
V = D/t
V = 25 m / 45s
V = 0.55 m/s
So , The average speed is o.55 m/s
learn more about average speed:brainly.com/question/9834403
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Answer:
A. a rigorously tested explanation
Explanation:
- B. and D. are out - theories are not opinionated, they are factual
- C. is out - not all theories are mathematical
- A. is the best choice
