Problem #10: Suppose that the waiting time X (in seconds] for the pedestrian signal at a particular street crossing is a random variable with the following pdf. for) 2 {%(1xi?5)5 0 <_: t5 otherwise if you use this crossing every day for the next days what is probability that will wait at least seconds on exactly of those problem round your answer to decimals. let x denote vibratory stress a wind turbine blade particular speed in tunnel. suppose has following density function rayleigh f s x102 e x7> 0 otherwise (a) If 0 = 109, find the probability that the vibratory stress is between 107 and 386. (b) If 0 = 109, then 71% of the time the vibratory stress is greater than what value? Problem #8(a): Round your answer to 4 decimals. Problem #8(b): round your answer to 2 decimals Just Save Submit Problem #8 for Grading Problem #8 Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Attempt #6 Attem Your Answer: | 8(a) 8(a) 8(a) 8(a) 8(a) 8(a) 8(a) 8(b 8(b) 8(b) 8(b) 8(b) 8(b) 8 (b) Your Mark: |8(a) 8(a) 8(a) 8(a) 8(a 8(a) 8(a) 8 (b ) 8(b) 8(b) 8 (b) 8(b) 8(b) 8(b) Problem #9: Suppose that a random variable X has the following probability density function. f (x ) = 1 SC (100 -x2) OS x = 10 otherwise Find the expected value of X. ( You will need to find the value of the constant C so that f is a pdf.) Enter your answer Problem #9: symbolically, as in these examples