Answer:
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter
represent the average ocurrence rate per unit of time
For this case we know that 
And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:

And we want this probability:

And if we use the pmf we got:
The solution and answer are well written in the Pic above.
Answer:
Step-by-step explanation:
Choice A
Log 10 = 1.
So A is actually right, although it does not look it.
log(20 * x^5 ) - 1 is correct.
Choice B
Log(x^5 * 20 / 10)
log(2 x^5)
Choice B is also correct
Choice C is not correct, or if it is, I don't know how to get it. You need the 20 in there somewhere.
No! Dis not correct. The 2 is not raised to the 5th power.
And E is not correct. I'm not sure how they got it. Even + 1 is not correct. It should be -1 if that is how it is to be done.