Jack and Nina are graphing two equations on a coordinate grid. Jack has graphed the equation y = 2x. If Nina graphs y = 5x, wher
2 answers:
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Answer:
a)
Operating room x 1 2 3 4
P(x) 0.15 0.25 0.4 0.2
b)
The graph of probability distribution is in attached image.
c)
All the probabilities lies in the range (0 to 1) and the probabilities add up to 1 so, the computed probability distribution is the valid probability distribution.
Step-by-step explanation:
Number of operating rooms Days
1 3
2 5
3 8
4 4
a)
Sum of frequencies=1+2+3+4=10
Operating rooms x frequency f Relative frequency
1 3 3/20=0.15
2 5 5/20=0.25
3 8 8/20=0.4
4 4 4/20=0.2
So, using the relative frequency approach, a discrete probability distribution for number of operating rooms in use on any given day is
Operating room x 1 2 3 4
P(x) 0.15 0.25 0.4 0.2
b)
The graph of probability distribution is in attached image.
c)
There are two conditions for a probability distribution to be valid
1. All probability must ranges from 0 to 1.
2. All probabilities must add up to 1.
We can see that all the probabilities lies in the range (0 to 1), so, condition 1 is satisfied.
For condition 2,
sum[p(x)]= 0.15+0.25+0.4+0.2=0.4+0.6=1.
As the probabilities add up to 1, so the condition 2 is also satisfied.
Thus, the computed probability distribution is the valid probability distribution.
The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
<h3>What is an ordered double?</h3>It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have a relation:
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
We can represent it on a coordinate plane as (x, y)
After plotting on a coordinate plane we will get a graph of a relation
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Learn more about the ordered double here:
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