Victoria parks her car at the same garage every time she goes to work. Because she stays at work for different lengths of time each day, the fee the parking garage charges on a randomly selected day is a random variable, G. The table gives the probability distribution of G. You can check that μG = $14 and σG = $2.74.

In addition to the garage’s fee, the city charges a $3 use tax each time Victoria parks her car. Let T = the total amount of money she pays on a randomly selected day.

a. Make a graph of the probability distribution of T. Describe its shape.

b. Find and interpret μT .

c. Calculate and interpret σT.

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Garage fee g; Probability p; $10 $13 $15 $20 0.20 0.25 0.45 0.10