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4 years ago

If the difference of two numbers is even then so is their sum.

Mathematics

1 answer:

Nutka1998 [239]4 years ago

4 0

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

$2m-2n=2(m-n)$

Now, The sum of the numbers is

$2m+2n=2(m+n)$

Let $m+n=k$ where k is an integer

Then, $2m+2n=2k$ which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is $4-2=2$ , 2 is even.

The sum is $4+2=6$ , 6 is even.

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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:

$X \sim Binom(n=8, p=0.9)$