Question

Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.

Answer 1

6 days

Explanation:

Given

The proportion can be represented as:

`p = 55\%`

And the number of days can be represented as:

`n = 10`

Required

Determine the expected number of times, the light is red

To do this, we simply multiply the proportion by the number of days:

`Y = n * p`

Substitute values for n and p

`Y = 10 * 55\%`

Convert percentage to decimal

`Y = 10 * 0.55`

`Y = 5.5`

Approximate

`Y = 6`

Hence, the expected number of days is 6 days