Question

13. Conditions for an experiment at a certain tracking station require a wind speed less than 5 mph. The wind speed at this tracking station is modeled as a continuous random variable X with the following pdf. 100-H) f(a) 1o f(x)= otherwise (a) Find the value of k to make f(x a valid pdf. (b) What percentage of the time is the wind speed acceptable? (c) What is the chance that the wind speed is within 2 mph of the cutoff limit. (d) What is the chance that the wind speeds differs from the cutoff limit by more than 1 mph?

Answer 1

6 WAAR lO (x)dx lu

KI 1000 - (1000 3 20 O0K 3 ラK2-3 20 。 o 2000 (toox 100 IX. 2o0 a 5 0 O 125 2006 3 1315 0.6875 2000

2000 3 200o = 0.442. 2600 0.224 roait 0.176 PLEASE LE AVE AN UP VOTE