Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer: 4
Step-by-step explanation: 2 + 2 = 4
Answer:
1.8492 Gallons
Step-by-step explanation
To convert liters to gallons, multiply the liter value by 0.26417205236 or divide by 3.785411784.
9514 1404 393
Answer:
(c) y=-1/2x+12
Step-by-step explanation:
The units of the problem need to be consistent. Here, it is convenient to use feet. 6 inches is 1/2 foot, so the level will decrease 1/2 ft for each hour. It starts at +12 ft, and goes down from there:
y = -1/2x +12