Recall that for a random variable

following a Bernoulli distribution

, we have the moment-generating function (MGF)

and also recall that the MGF of a sum of i.i.d. random variables is the product of the MGFs of each distribution:

So for a sum of Bernoulli-distributed i.i.d. random variables

, we have

which is the MGF of the binomial distribution

. (Indeed, the Bernoulli distribution is identical to the binomial distribution when

.)
Answer:
π - irrational
0.04053.. - irrational
0.76 - rational
3.565565565 - irrational
-17 - rational
3.275 - rational
Step-by-step explanation:
rational = can express as fraction
irrational = cannot
No one is going to do all this for 5 points...
To eliminate the fraction, we multiply by 4
<h3>How to eliminate the fractions?</h3>
The equation is given as:
-3/4m-1/2=2+1/4m
Rewrite properly as:

The denominators of the above fractions are 2 and 4
The LCM of 2 and 4 is 4
So, we multiply through by 4.
This gives
-3m - 2 = 8 + m
Hence, to eliminate the fraction, we multiply by 4
Read more about fractions at:
brainly.com/question/10354322
#SPJ1
Answer:
<em>2,136,605</em>
<em />
Step-by-step explanation:
To estimate growth, we use the formula shown below:

Where
F is the future amount (we want to find for Jan 2024)
P is the present amount (present population of 1,988,817)
r is the rate of growth (0.9% means 0.009)
t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)
<em>Let's put these into the formula and figure out F:</em>
<em>
</em>
<em />
<em>Rounding we get the population in Jan 2024 to be </em><em>2,136,605</em>