Rob goes to work each day by two different routes. As he leaves the apartment parking lot there is a traffic light. If he has a green light but not a turn arrow, he goes straight and travels for 15-20 minutes, uniformly distributed. If he has a left turn arrow, he turns left, and travels 10-15 minutes, uniformly distributed. If he has a red light, he waits for a left turn arrow. He has timed the traffic light and the light is red for 2 minutes, followed by a left turn arrow for 1 minute, and a green light for 3 minutes. He arrives at the traffic light at uniformly random times each day. What is his expected travel time?

good luck on your studies! : )

david edward.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;