In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded.
1 answer:
Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
- p(xi)≥0
- ∑p(xi)=1
All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!
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Answer:
Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.
Step-by-step explanation:
The missing figure is attached.
You need to remember that:
1- A Transversal is defined as a line that intersects two or more lines.
2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:
a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.
b. Corresponding angles: are those pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.
In this case, you can identify in the figure that:
and
are Corresponding angles.
and
are Vertical angles.
Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.
