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:

the highest score is obviously going to be 2125 because that is 100%
Using proportions, it is found that Felipe needs 23.625 meters of wood to make that many birdhouses.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
To make an amount, he needs 5 1/4 meters = 5.25 meters. How many meters he needs to make 4 1/2 = 4.5 times the amount?
5.25 x 4.5 = 23.625 meters.
Felipe needs 23.625 meters of wood to make that many birdhouses.
More can be learned about proportions at brainly.com/question/24372153
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Step-by-step explanation:
( 1 + 2 + 9 ) ÷ 22/ 1
12 ÷ 22
6 ÷ 11
cc: Anything raised to the power of zero is 1
Answer:
Here c represents the total number of children in choir.
As per the statement:
Total number of boys in choir = 12
It is also given that: Three sevenths of a children's choir are boys.
⇒ Total number of boys = 
or

By cross multiply we have;
84 = 3c
Divide both sides by 3 we have;
c = 28
Therefore, the total number of children in choir is 28 children