Answer:
The probability distribution of X is:

Step-by-step explanation:
"Tossing a coin and getting H" can be modelled as a Bernoulli random variable. The variable X is a sum of 4 of this Bernoulli variables, we can model X as a binomial random variable, with p=0.5 and n=4.
The values X can take are: 0, 1, 2, 3 and 4.
The values of this probability are calculated as:

Where
p: is the probability of tossing a coin and getting a Heads
q: is the probability of tossing a coin and not getting a Heads.
The binomial number is a way to calculate the possible combinations of getting a certain amount of heads.
For example, in 4 tosses, there are 6 ways or combinations of getting 2 heads and 2 tails:

Answer:
6785.84
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:
0.714286
Step-by-step explanation:
yes
Answer:
64 in² (Answer B)
Step-by-step explanation:
Note that this rhombus is made up of a large upper triangle and a large lower triangle. Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.
The area-of-a-triangle formula is
A = (1/2)(base)(height), which here is
A = (1/2)(16 in)(4 in) = 32 in².
Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in². So the total area of the rhombus is 64 in²