Taking an Uber ride in NYC has an initial fee of $2.55 with an additional charge of $1.75 per mile (we will ignore the small per minute waiting fee). In equation form, cost = 2.55 + 1.75(miles). a local NYC resident records the number of miles for his first 25 rides with Uber. The mean distance of his rides is 5.6 miles with a standard deviation of 1.2 miles. a) Find the mean cost of the 25 trips.
b) Calculate the standard deviation of the cost of the 25 trips.

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anthougo anthougo · Answer 1 · 2020-11-06T04:59:29+01:00

Answer:

a) The mean cost of the 25 trips is:

$12.35.

b) The standard deviation of the cost of the 25 trips is:

$52.50

Step-by-step explanation:

a) Data and Calculations:

Initial fee (fixed) = $2.55

Variable (additional) charge = $1.75 per mile

Equation = 2.55 + 1.75(miles)

Trips = 25

Mean distance for first 25 rides = 5.6 miles

Standard deviation = 1.2 miles

Mean cost of the 25 trips = 2.55 + 1.75 (5.6) = $12.35

Total cost = $308.75 (25 * 12.35) based on mean cost

Standard deviation of the cost of the 25 trips:

Total standard deviation for the 25 trips = 30 miles (1.2 * 25)

= $52.50 (1.2 * 25 * $1.75)