Answer to Question #346949 in Statistics and Probability for Hlo

Question

Question 2.3 [1, 3, 3, 2, 2, 2]

Dr Clohessy drives to work every day, and she passes 11 traffic lights. If each traffic light works

independently from each other and each have a probability of being green when DR Clohessy drives

up to the light of 0.25. Use this information to answer the following questions.

a) Define the random variable X of the experiment.

b) What is the probability that at least two lights will be green on her morning drive through the

11 traffic lights?

c) What is the probability that at least two lights will be green, given that at least one has already

been green?

d) What is the probability that three lights will be red through the 11 traffic lights?

e) Determine the mean of X and standard deviation of X of the number of green traffic lights.

f) Now suppose you are interested in the first traffic light that turns

Answer 1

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