A certain college instructor never finishes his lecture before 8:50 AM but always finishes his lecture within 6.6 minutes after 8:50 AM. Suppose that the time X that he lectures after 8:50 AM has the following probability density function:

Acertain college instructor never finishes his lecture before 3:56 AM but always finishes his lecture within 6.6 minutes after 8:512] Nil. Suppose that the time I that he lectures after 3:51] AM has the following probability density.r function: fl } 532 if l] g a: g 6.5 E = l] otherwise where k is a constant. Find the constant k. lillH X Find the probabilityr that he ends less than 4.? minutes after 3:54AM. C]