A traffic light at a certain intersection is green 50% of the time, yellow 10% of the

Chapter 4, Problem 4

(choose chapter or problem)

A traffic light at a certain intersection is green \(50 \%\) of the time, yellow \(10 \%\) of the time, and red \(40 \%\) of the time. A car approaches this intersection once each day. Let X represent the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial.

a. Find \(P(X=3)\).

b. Find \(P(X \leq 3)\).

c. Find \(\mu_{X}\).

d. Find \(\sigma_{X}^{2}\).

Equation Transcription:

Text Transcription:

50%

10%

40%

P(X=3)

P(X \leq 3)

\mu_X

\sigma_X^2

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