Answer:
Step-by-step explanation:
7/3 * 2/3
14/3 * 1/3
Given:
The race percent of population is
White: 45%
Hispanic: 27%
Black: 18%
Asian: 7%
Other: 3%
Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.
Answer: The Hispanic students do not have proportional representation.
Part b.
Let x = the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5
This means that 2,653 extra Hispanic students are required for a population of 20,250 students.
Answer: 2,653 extra Hispanic students.
ANSWER
B. 1
EXPLANATION
The given function is
This is a piece-wise defined function.
We want to find f(1)
We substitute x=1 into f(x)=x because, 1 belongs to the interval,
1≤x≤5
f(1)=1
The correct answer is B.
Answer:
- Rx2e-xdx=-e-x(x2+2x+2)+candR-xe-xdx=xe-x+e-x+c)CS 70, Summer 2016, HW 62
Step-by-step explanation:
- CIA(8 points)Jason Bourne has been held captive in a prison from which there are three possible routes to escape:an air duct, a sewer pipe and the door (which happens to be unlocked). The air duct leads him on athree hour trip whereupon he falls through a trap door onto his head. The sewer pipe is similar buttakes two hours to traverse. Each fall produces amnesia and he is returned to the cell immediatelyafter each fall. Assume that he always immediately chooses one of the three exits from the cell withprobability13. On average, how long does it take before he opens the unlocked door and escapes?9.Markov Chain(12 points: 4/3/5)Consider the Markov chainX(n)with the state diagram shown below, wherea,b∈(0,1).Figure 1: State diagram(a) Is this Markov chain irreducible? Is it aperiodic? Briefly justify your answers.(b) Calculate Pr[X1=1,X2=0,X3=0,X4=1|X0=0].(c) Calculate the invariant distribution.CS 70, Summer 2016, HW 63
- Alice and Bob are going to study for the upcoming midterm together. They agree to meet at timetthis afternoon. Alice will show upXhours aftert, whereX∈Uniform[0,2]. Bob’s arrival time ismore unpredictable. He will be distracted by Pokemon Go and will show upYhours aftert, whereY∈Expo(1). The person who shows up later is late forThours. What isE[T]? (Hint: some usefulintegrals
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