Sketch this probability density function

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Question: 1. Three people, A, B and C, live in the same neighborhood and use the same bus line to go to work. Each of the three has a probability of ¼ of making the 6:10 bus, a probability of ½ of making the 6:15 bus, and a probability of ¼ of making the 6:20 bus. Assuming independence, what is the probability that they all take the same bus?

2. The probability density function of a certain voltage is given by

pv(v) = ve-vU(v)

where U(v) is the unit step function.

(a) Sketch this probability density function.

(b) Sketch the distribution function of v.

(c) What is the probability that v is between I and 2?

Reference no: EM131512228

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