A computer repair shop has two work centers. The first center examines the computer to see what is wrong, and the second center repairs the computer. Letx₁andx₂be random variables representing the lengths of time in minutes to examine a computer (x₁) and to repair a computer (x₂). Assumex₁andx₂are independent random variables. Long-term history has shown the following times.

Examine computer,x₁:????₁=30.0minutes;????₁=7.0minutesRepair computer,x₂:????₂=89.5minutes;????₂=15.3minutes

a. Suppose it costs $1.50 per minute to examine the computer and $2.75 per minute to repair the computer. ThenW= 1.50x₁+ 2.75x₂is a random variable representing the service charges (without parts). Compute the mean, variance, and standard deviation ofW(in minutes). (Round your answers to two decimal places.)