The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak r
ush hour periods of eight minutes ("2012 annual report," 2012).
a.) Find the height of this uniform distribution.
b.) Find the probability of waiting between four and five minutes.
c.) Find the probability of waiting between three and eight minutes.
d.) Find the probability of waiting five minutes exactly.
a.) Find the height of this uniform distribution.
b.) Find the probability of waiting between four and five minutes.
c.) Find the probability of waiting between three and eight minutes.
d.) Find the probability of waiting five minutes exactly.
1 answer:
Answer:
a) height of this uniform distribution = 1/8 = 0.125.
b) P( 4 < x < 5) = (5 - 4)*0.125 = 0.125
c) P( 3 < x < 8) = (8 - 3)*0.125 = 0.625
d) P(x = 0) = 0*0.125 = 0
Step-by-step explanation:
Height of this uniform distribution is same as finding the probability for each waiting minutes.
Height of uniform distribution = 1/n. Where n is the number of occurence, in this n = 8.
a) height of this uniform distribution = 1/8 = 0.125.
Let random variable x = waiting time.
b) probability of waiting between four and five minutes
P( 4 < x < 5) = (5 - 4)*0.125 = 0.125
c) probability of waiting between three and eight minutes
P( 3 < x < 8) = (8 - 3)*0.125 = 0.625
d) probability of waiting five minutes exactly.
Since this would be just one line, and the width of the line is 0, then the
P(x = 0) = 0*0.125 = 0
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Answer:
D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Step-by-step explanation:
The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1
However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;
m=Δy/Δx where
m=the slope of the graph
Δy= 3-0 =3
Δx= 0--3 =3
m=3/3 = 1
The equation of the line should be;
m=Δy/Δx
1=y-3/x-0
1x= y-3
3+1x= y
y= 1x + 3 ----------where the slope is 1 and y-intercept is 3
So you can see here that in the original equation,<em> the slope m is 3 and y-intercept is 1 as shown in the first attached graph.</em>
While in the Kelsey's graph, <em>the slope is 1 and the y-intercept is 3 as in the second attached graph. </em>
<em>Thus, the correct answer is D : Kelsey graphed </em><u><em>the slope,3</em></u><em> as the </em><em>y-intercept </em><em>and the</em><u><em> y-intercept,1,</em></u><em> as the slope. </em>
Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.
Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3
Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.
Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by
where n is the number of elements in the set.
Therefore, subsets of the given set =
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set =
=
= 32 - 1
= 31