Question

a 40. City parking 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 uc = $14 and og $14 and oc = $2.74. Garage fee 9 $10 $13 $15 $20 Probability Pi 0.20 0.25 0.45 0.10 = a a 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 ut.
(c) Calculate and interpret ot.​

please do step by step

Answer 1

We have that for the Question "

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

(b) Find and interpret ut.

(c) Calculate and interpret ot.​"

it can be said that

b)ut=$17

c)$\sigma t$=$2.74

From the question we are told

The table gives the probability distribution of G. You can check that uc = $14 and og $14 and oc = $2.74.

• Garage fee 9 $10 $13 $15 $20 Probability Pi 0.20 0.25 0.45 0.10 = a a 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.

Probability distribution of T

a)

Table is attached below

b)

Generally the equation for the ut  is mathematically given as

ut=E(t)

ut=E(g+3)

ut=14+3

ut=$17

c)

Generally the equation for the $\sigma t$  is mathematically given as

$\sigma t$=$\sqrt{Var(t)}$

$\sigma t$=$\sqrt{Var(g+3)}$

$\sigma t$=$2.74

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