Answer:
C) The shape of the probability distribution is roughly symmetric with a single peak at Y = 5.
Explanation:
To create the probability distribution for the number of times the light is red (Y), you can use the binomial distribution formula. Given the probability of success (light is red) on a single trial (55%) and the number of trials (10 workdays), you can calculate the probabilities for each possible value of Y.
The correct answer is:
C) The shape of the probability distribution is roughly symmetric with a single peak at Y = 5.
The binomial distribution tends to be roughly symmetric when the probability of success is close to 0.5, and in this case, the probability of the light being red is 55%. The peak of the distribution occurs around the expected value, which is given by n * p (10 * 0.55 = 5.5, rounded to 5 in this case).