Answer:
y = -1/2 is the answer to 125=(1/25)^(y-1)
The answer should be 4.
Divide 20 by 2. Thus then you subtract 6.
Your final answer is 4.
Answer:
a)

b) 
c) 
d) 
e) 
Step-by-step explanation:
1) 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".
2) Solution to the problem
Let X the random variable of interest, 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:
3) Part a

4) Part b


5) Part c
![P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2016%29%3D1-P%28X%3E16%29%3D1-P%28X%5Cgeq%2017%29%20%3D%201-%5BP%28X%3D17%29%2BP%28X%3D18%29%2BP%28X%3D19%29%2BP%28X%3D20%29%2BP%28X%3D21%29%2BP%28X%3D22%29%5D)

6) Part d
The expected value is:

7) Part e
The variance is given by:

The answer is the first one, A
5.254071926×10^9
Standard form is taking a large number and putting it in a form where the number is smaller than 10. To do that (using the number above) you would take the first number which is 5 and then make every number after it part of a decimal. You then use [×10^x] (multiplied by 10 to the power of the amount of numbers after the decimal point (In this case 9)) to show others that to find the full number you multiply the decimal by 10 to the power of 9.