Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is

Where 
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is


Answer:
A.
Step-by-step explanation:
Answer:
Choices A, C, E
Step-by-step explanation:
The prices are proportional, so divide any price by the corresponding number of pounds to find the unit cost.
$1.47/(3 lb) = $0.49/lb
The unit cost is $0.49 per lb.
Now we look in the choices to see which choice has a unit price of $0.49/lb.
We divide each price by its number of pounds to fund each unit cost. Every choice with a unit cost of $0.49/lb is an answer.
A $0.98/(2 lb) = $0.49/lb Choice A works
B $4.45/(7 lb) = $0.64/lb Choice B does not work
C $2.94/(6 lb) = $0.49/lb Choice C works
D $0.54/(1 lb) = $0.54/lb Choice D does not work
E $3.92/(8 lb) = $0.49/lb Choice E works
Answer: Choices A, C, E
3x^2+21x+6=3(3x^2+7x+2)=3(3x^2+6x+x+2)=3[3x(x+2)+(x+2)]=3(3x+1)(x+2)