Answer:
So, the probability is P=0.0097.
Step-by-step explanation:
We know that the number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter.
We conclude that λ=0.45.
We use the Poisson formula:

We calculate the probability that a board 3 meters in length has no flaws. We get that k=3.
We calculate:

So, the probability is P=0.0097.
Answer:
Question 3: 
Question 4: 
Step-by-step explanation:
<u>Question 3</u>
g(x) * h(x) means to multiply both the functions given.
Also note the distributive property:

Now, lets multiply:

The 2nd answer choice is right
<u>Question 4</u>
means to divide both the functions and simplify, if possible. Lets do this:

This is the correct answer.
The restriction on the domain is any x value that we CANNOT PUT IN THE FUNCTION.
We know we cannot divide by 0, so what makes this fraction division by 0??
If we put x = 0, the function is undefined. So x CANNOT be 0.
Third answer choice is right.
1 mile = 5280 feet
45 x 5280 = 237,600 feet per hour