Answer:
The probability that on a randomly selected day the statistics professor will have five messages is 0.1755.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of e-mail messages per day a statistics professor receives from students.
The random variable is approximated by the Poisson Distribution with parameter <em>λ</em> = 5.
The probability mass function of <em>X</em> is as follows:

Compute the probability that on a randomly selected day she will have five messages as follows:


Thus, the probability that on a randomly selected day the statistics professor will have five messages is 0.1755.
10 to the 56th power is huge. Imagine multiplying 10 56 times.
Well, there are 12 inches in a foot.
We have 3/12 inches (3 inches of a foot). Now, let's simplify!
What is the GCF (greatest common factor) of 12 and 3? Well, let's list out the factors (what a number divides into) of each of them.
1*12
2*6
3*4
1*3
The largest factor that we see in both of these numbers is 3, so let's divide 3/12 by 3!
3/3=1
12/3=4
So, 3 inches are 1/4 of a foot :).
You can check your answer by multiplying 12 by 1/4. Your answer will be 3!
I hope I helped! :)
Answer:
length = 12 cm | width = 5 cm
Step-by-step explanation:
You already know the width is 5 cm. So now just divide 5 from 60 to get the length of 12 cm.