Question

Did you know that the parsec is actually a measure of distance, not time? A shorter distance is considered better. Suppose the distance required to make the Kessel run is known to be normal, and has a mean of 18 parsecs, and a standard deviation of 1.9 parsecs. Round all answers to four decimal places.

a. To be considered an elite smuggler, you need to be in the 7th percentile for distance on the Kessel run. What is the maximum distance you can travel for the Kessel run to be considered an elite smuggler?

b. What is the probability that a randomly selected sample of 64 smugglers requires between 17.7 and 18.3 parsecs for the Kessel run?

c. Assume that only 0.15 (15%) of all smugglers ever attempt Kessel run. What is the probability that in a random sample of 300 smugglers, less than 0.10 (10%) of the sample has attempted

the run?

Answer 1

The R code: