3/4 times the amount of 20
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Using the binomial distribution, it is found that the variance of Alice's commuting time is of 2 minutes squared.
For each light, there are only two possible outcomes, either it is red, or it is green. The lights are independent of others, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial probability distribution?</h3>It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.
The variance of the binomial distribution is:
.
In this problem:
- She passes through four lights, hence n = 4.
- The lights are equally as likely to be red or green, hence p = 0.5.
The variance for the number of red lights is:
V(X) = 4(0.5)(0.5) = 1
Since each red light delays Alice by exactly two minutes, the variance of Alice's commuting time is of:
2 x 1 = 2 minutes squared.
More can be learned about the binomial distribution at brainly.com/question/14424710
