Answer:
m = 
Step-by-step explanation:
m -
= 1 -
Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides
6m - 3m + 3 = 6 - 2m + 4 , that is
3m + 3 = - 2m + 10 ( add 2m to both sides )
5m + 3 = 10 ( subtract 3 from both sides )
5m = 7 ( divide both sides by 5 )
m = 
Answer:
3√2
Step-by-step explanation:
√3 x √6
= √3×6
= √18
= √9×2
= √9 × √2
= 3 × √2
= 3√2
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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.

The answer is A. life insurance that pays a benefit on the death of the insured and also accumulates a cash value.