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2 years ago

Which of the following is the set of all real number x such that x-2 < x-4?

Mathematics

1 answer:

umka2103 [35]2 years ago

5 0

If you subtract x from both sides, then you go from

x-2 < x-4

-2 < -4

which is a false statement. The value -2 is not smaller than -4. It's the other way around. I recommend looking at a number line to compare the two values.

This means that x-2 < x-4 is never true regardless of what x value you pick. So there are no solutions.

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g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

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Answer:

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For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

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The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Step-by-step explanation:

Previous concepts

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The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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Solution to the problem

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

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