Question
please find 4.7.9
For 70% of lectures, Professor Y arrives on time. When Professor Y is late, the arrival time delay (in minutes) is a continuous uniform (0, 10) random variable. Yet, as soon as Professor Y is 5 minutes late, all the students get up and leave. If a lecture starts when Professor Y arrives and always ends 80 minutes after the scheduled starting time, what is the PDF of T, the length of time that the students observe a lecture. Write a function y=quiz31rv(m) that produces m samples of random variable Y defined in Quiz 4.2. The Gaussian (0, 1) complementary i CDF Q{z), can be approximated by Q(z) = (sigma^5_n=1 a_nt^n)e^-z^2/2, for z greaterthanorequalto 0 where t = 1/1 + 0.231641888z a_1 = 0.127414796 a_2 = -0.142248368 a_3 = 0.7107068705 a_4 = -0.7265760135 a_5 = 0.5307027145.
Explanation / Answer
pdf of T is as follows:
P(T=80) =0.7 (when ever professor comes on time length will be 80 minutes)
P(T=80-x)=0.15 where x is delay time and 0<x<5
P(T=0) =0.15 when x>5
