The given MGF is that for a random variable following a Poisson distribution with parameter

.
This means

, and

has PMF

So, the desired probability is

This is equivalent to
Answer:
1. ≈ 12.85
2. 15
3. -38
4. 41 miles
5. 88
Step-by-step explanation:
5 feet
Explanation:
If jack had a 1 foot long piece of rope than we can simply multiply 1 by 5 and we get 5. Hope this helps!
1/8 inch thick
inner diameter of 8.5
volume shell=volume total-volume shell
1/8=0.125
diameter/2=radius
radius inner=8.5/2=4.25
radiustotal=inner+outer=4.25+0.125=4.375
so
Vouter-Vinner=(4/3)pi4.375³-(4/3)pi4.25³
Vshell=(4/3)(pi)(4.375³-4.25)
Vshell=(4/3)(pi)(83.740234375-76.765625)
Vshell=(4/3)(pi)(6.974609375)
Vshell=9.299479166666666666666pi cubic inches
Vshell≈16.433536180619 cubic inches