Given that the arrivals of cars at the trans-australian highway follow a poisson distribution with the average rate of arrivals as 1 car per 12 seconds.
This is a Poisson distribution with a mean of 1 car every 12 seconds.
Part A:
The probability of a Poisson distribution is given by:
Given tha one of the old wombats requires 12 seconds to cross the highway, and he starts out immediately after
a car goes by. <span>
The probability he will survive is the probability that no car passes through the point in the next 12 seconds.
Therefore, the probability that he will survive is
0.368Part B:
Given that </span>at the same point of the highway there is another old wombat, slower but tougher than in the previous
exercise. He requires 24 seconds to cross the road, but it takes two cars to kill him.
(A single car won’t
even slow him down. The arrival rate of cars is still one car per 12 seconds.)
Since the arrival rate of cars is one car per 12 seconds, then, in 24 seconds the arrival rate is 2 cars. (i.e. λ = 2)
T<span>he probability that he survives is the probability that 2 cars did not pass through the point.
</span>
Answer:
intergers
Step-by-step explanation:
+*-=-
so 9*(-2)=-18
Based on the data provided, the amount after 2 years is #3386.7
<h3>What is the amount if the bank pays 6 1/4% interest per annum, what is the amount after 2 years?</h3>
Where:
P is principal
r = rate
n is the number of years
From the data provided:
P = 3000
n = 2
r = 6 1/4% = 0.0625
Amount = 3000 * (1 + 0.0625)²
Amount = #3386.7
Therefore, the amount after 2 years is #3386.7
Learn more about interest and amount at: brainly.com/question/25545513
Answer:
Step-by-step explanation:
The question is a bit ambiguous. Are A B C D and F positive? It says they are prime which is good. I'm going to assume that they are all > 0 but that may not be a valid assumption. I'm not sure that numbers < 0 cannot be prime. Looking it up, I find that the assumption is correct. If they are prime, they are greater than 0.
That says quite a bit.
The factors of f are 1 and f.
The first one is possible x + 1 could be a factor because it will come x = - 1
x + f could be a factor.
Because you will push through x = - f
The only 2 I can guarantee are the two I have given. Even though I have given 2, and someone else came along and gave a different answer, I would defer to what they said.
The answer is 2/3
An alternative is 0.6