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.

Respuesta :

Answer:

6 days

Step-by-step explanation:

Given

The proportion can be represented as:

[tex]p = 55\%[/tex]

And the number of days can be represented as:

[tex]n = 10[/tex]

Required

Determine the expected number of times, the light is red

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

[tex]Y = n * p[/tex]

Substitute values for n and p

[tex]Y = 10 * 55\%[/tex]

Convert percentage to decimal

[tex]Y = 10 * 0.55[/tex]

[tex]Y = 5.5[/tex]

Approximate

[tex]Y = 6[/tex]

Hence, the expected number of days is 6 days

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