Question

2 QUESTIONS || NEED HANDWRITTEN SOLUTION Q1. The subway train arrives every 10 minutes. The probability that you will have to wait any number of minutes remains constant. a) What

is the probability that you will wait at most 3 minutes? b) What is the probability that you will wait at least 5 minutes? c) What is the probability that you will wait between 3 and 5 minutes? Q2. The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm (Ovegard, Berndt & Lunneryd, 2012). Assume the length of fish is normally distributed. a) Find the probability that an Atlantic cod has a length less than 49 cm. b) Find the probability that an Atlantic cod has a length of more than 70 cm. c) Find the probability that an Atlantic cod has a length between 31.5 and 52.5 cm. d) What length are 12% of all Atlantic cod longer than?