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:
Step-by-step explanation:
a1 = 3;
a2 = 2(a1 - 2 ) = 2(3-2) = 2
a2 = 2
a3 = 2(a2-2) = 2(2-2) = 0
a3=0
a4 = 2(a3-2) = 2(0-2) = -4
a4 = -4
a5 = 2(a4 - 2) = 2(-4-2) = -12
a5 = -12
Answer:
Option B, - 7 + 12 = 5
Step-by-step explanation:
As you can see, the up line starts from the point 0 and it goes back by seven (- 7). Then from negative seven, it took 12 steps forward to zoom to positive 5 (+ 5). So + 5 is the last result of the process. It took 12 steps forward.
So with these statements kept in mind. Look at the options that would be described by these.
Let's start by this statement: "So + 5 is the last result of the process."
Option B and D only seem to have + 5 as the result.
Next statement: "Then from negative seven, it took 12 steps forward to zoom to positive 5 (+ 5)"
<em>Option B</em> is the most logical answer that is described by the statement.
From negative seven (-7) it took twelve steps forward (+ 12) to positive 5
(= 5)
Answer:
1/2
Step-by-step explanation:
We can find the slope given two points by
m = (y2-y1)/(x2-x1)
= (9-5)/ (18-10)
= 4/8
= 1/2
2 and (2/5) = 12/5
(12/5) divided by 3 = (4/5)
The answer is four fifths feet