Answer:
Part 1) [tex]70\%[/tex]
Part 2)[tex]0.41,43.5\%,55\%,83\%,5/6,17/20,57/50,2,3,9/2,5.8[/tex]
Part 3) [tex]37.5\%[/tex]
Step-by-step explanation:
Part 1)
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x-------> size of the event space
y------> size of the sample space
P=size of the event space/size of the sample space
[tex]P=\frac{x}{y}[/tex]
In this problem we have
[tex]x=270-90=180[/tex] ----> students that not own computers
[tex]y=270[/tex] ------> total students
substitute the values
[tex]P=\frac{180}{270}=0.7=70\%[/tex]
Part 2) Order the numbers for least to greatest
we have
[tex]5/6,17/20,83\%,2,9/2,0.41,43.5\%,3,57/50,5.8,55\%[/tex]
Convert the numbers into a percentage form
[tex]5/6=5*100/6=83.3\%[/tex]
[tex]17/20=17*100/20=85\%[/tex]
[tex]83\%[/tex]
[tex]2=2*100=200\%[/tex]
[tex]9/2=9*100/2=450\%[/tex]
[tex]0.41=0.41*100=41\%[/tex]
[tex]43.5\%[/tex]
[tex]3=3*100=300\%[/tex]
[tex]57/50=57*100/50=114\%[/tex]
[tex]5.8=5.8*100=580\%[/tex]
[tex]55\%[/tex]
Part 3)
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x-------> size of the event space
y------> size of the sample space
P=size of the event space/size of the sample space
[tex]P=\frac{x}{y}[/tex]
In this problem we have
[tex]x=30[/tex] ----> students surveyed who said English was their favorite subject
[tex]y=80[/tex] ------> total students surveyed
substitute the values
[tex]P=\frac{30}{80}=0.375=37.5\%[/tex]
