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
# if you need any queshtions aswered speedly hit me up and I got you
Answer:
Step-by-step explanation:
P=5/25=1/5=0.20
First convert the fractions into inpropper fractions by takeing the denominator and multiplying it by the whole number blus the nummerator. For 3(1/2) it becomes 7/2 and for 1(1/2) it becomes 3/2. Then multiply the fractions 7/2 x 3/2 = 21/2 now make it a mixed fraction so the answer is 2(1/2)
Answer:
Could be
Just to increase word count
Answer:
B. The horizontal cross-sections of the prisms at the same height have the same area.
Step-by-step explanation:
<em>Notice that the cone and the pyramid have the same volume. This is important. </em>
This follows the <em>Cavalieri's principle</em> that, for the case of 3 dimensions, as the present case, it states, roughly, that if we have two bodies like the cone and the pyramid, and if we have parallel planes crossing each section, and we always have the same area, these two bodies have the same volume.
In this case, both, cone and pyramid have the <em>same volume</em>, then (reciprocally):
B. The horizontal cross-sections of the prisms at the same height have the same area.
