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.

Answer:
1/48
Step-by-step explanation:
the steps are in the picture
Answer:
y=8x
Step-by-step explanation:
an equation follows the structure of y=mx+b where m is the slope and b is the y-intercept for this line the y intercept is 0 so you dont have to include it in your equation and the slope = rise over run so 8/1=the slope if you put it into an equation the answer is y=8x
Answer:
1 D (10, 120)
2 C (20, 40)
Step-by-step explanation:
Answer:
$135
Step-by-step explanation:
id k how to explain but since he saves 5 dollars he basically has 15 dollars in his bank account u just need to multiply 15 with however many weeks he saves up for