Answer:
a. P(x = 0 | λ = 1.2) = 0.301
b. P(x ≥ 8 | λ = 1.2) = 0.000
c. P(x > 5 | λ = 1.2) = 0.002
Step-by-step explanation:
If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

a. What is the probability of selecting a carton and finding no defective pens?
This happens for k=0, so the probability is:

b. What is the probability of finding eight or more defective pens in a carton?
This can be calculated as one minus the probablity of having 7 or less defective pens.



c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?
We can calculate this as we did the previous question, but for k=5.

If she used all of her yarn, she'd have 24 pieces. If she wanted 1.25 left, she'd have ten less because 24 • .125 = 8, and 1/4 of eight = 2, and 2 + 8 = 10.
So she'd have 14 pieces.
Answer:
Kindly check explanation
Step-by-step explanation:
Relative frequency = frequency / total frequency
Total frequency = 30
Outstanding = 14 / 30 = 0. 467 = 46.7%
Very good = 10/30 = 0.333 = 33.3%
Good = 5 / 30 = 0.167 = 16.7%
Average = 1 / 30 = 0.0333 = 3.3%
Poor = 0
_______Rating : frequency : R/ frequency
Outstanding _____ 14 _______0.467
Very good _______10 _______0.333
Good ___________ 5 _______ 0.167
Average _________ 1 _______ 0.033
Poor ____________ 0 _______ 0
Answer:
51
Step-by-step explanation:
sum of exterior angles = 360
64 + 60 + 69 + 42 + x + x +23 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
x = 51
Answer:
4.9 units
Step-by-step explanation:
We are dealing with a Right angle triangle, and the c is actually the hypotenuse. We are given the measures of a and b.
a being 4, and b being 3.
We need to use the Pythagorean Theorem to solve this.

we can rewrite this as;

Calculation time
15 + 9 = c
c = 24
Now we find the square root of each equation to determine what
is.

4 + 3 = 4.89897948557
Let's round that to the nearest tenth.
4.9 units
Hope this helped :)