Answer:
The probability that there will be a total of 7 defects on four units  is 0.14.
Step-by-step explanation:
A Poisson distribution describes the probability distribution of number of success in a specified time interval.
The probability distribution function for a Poisson distribution is:

Let <em>X</em> = number of defects in a unit produced.
It is provided that there are, on average, 2 defects per unit produced.
Then in 4 units the number of defects is,  .
.
Compute the probability of exactly 7 defects in 4 units as follows:

Thus, the probability of exactly 7 defects in 4 units is 0.14.
 
        
             
        
        
        
Answer:
D.) Every cloud has a silver lining!
Step-by-step explanation:
Hope this helps!
 
        
             
        
        
        
Answer:
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
Step-by-step explanation:
6x² - 2x = 7
6x² - 2x - 7 = 0
Formula
ax² + bx + c = 0
a = 6 ; b = - 2 ; c = - 7
x₁/₂ = [-b ± √(b²- 4ac)]/2a
x₁/₂ = (2 ± √4 + 4×6×-7)/12
x₁/₂ = (2 ± √172)/12
x₁/₂ = (2 ± 2√43)/12
x₁/₂ = 2(1 ± √43)/12
x₁/₂ = (1 ± √43)/6
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
 
        
             
        
        
        
I think that the answer is $569.8. 550 times 0.072 times 0.5 (half a year) is 19.8, then 550 + 19.8 is 569.8. 
        
             
        
        
        
Answer: $1008
Step-by-step explanation:
Since Dave can only drive 35 miles per day and he drives 1,960 miles, this means that the number of days he used for driving will be:
= 1960 / 35
= 56 days
Since he gets paid $18 per day, the amount that he will make will be:
= $18 × 56 
= $1008