Please show work. Thank you!

Q1 4 Points The PDF for a continuous random variable X is described by the formula 1 fx (x) = 12 X xE [1,5] 0 otherwise Q1.1 1 Point Compute P(X=4) OO O 1/3 O 2/3 O 5/8 O 1/9 Save Answer Unsaved Changes01.2 '| Point Compute PXE[2, 3]) O 0 0 m2 (9 5:24 0 5:12 0 1:4 Last saved on Mar 25 at 11:51 AM 01.3 '| Point Compute EX} 0 1:4 @1 O 3 0 31:9 0 7!: Last saved on Mar 25 at 11:51 AM \f02 1 Point X is a Gaussian random variable with mean 40 and standard deviation 4. Find the value in such that P[ IX4OI