Question: Let x be a random variable that represents the length of time it takes a student to complete Dr. Tracy Wang’s homework. From long experience, it is known that x has a normal distribution with mean \[\mu =3.6\] hours and standard deviation \[\sigma =0.5\] hour.

Convert each of the following x intervals to standard z intervals.

(a) \[x\ge 4.6\]

(b) \[x\le 4.6\]

(c) \[0\le x\le 4.6\]

(d) \[2.5\le x\le 4.5\]