Write six-thousandths in standard form
2 answers:
Answer:
Step-by-step explanation:
We are asked to write six thousandths in standard form.
First of all, we will write our given number as a decimal. Our given number is six thousands, so we will divide 6 by 1000 as:
To write 0.006 as standard form, we need two factors whose product is 0.006. First factor would be any number between 1 to 10 and the second number would be power of 10.
Since we have 3 decimals before 6, so our first factor would be 6 and second factor would be .
Therefore, our required number would be .
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Answer:
Step-by-step explanation:
For this case we can use the moment generating function for the normal model given by:
And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:
And we have that the moment generating function can be write like this:
And we can write this as an infinite series like this:
And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:
and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:
And then we have this:
And then we can find the
And we can find the variance like this :
And first we find:
And then the variance is given by: