A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 14people or 2324lb. That capacity will be exceeded if 14people have weights with a mean greater than 2324 lb/14 =166lb. Assume that weights of passengers are normally distributed with a mean of 182.9lb and a standard deviation of 42.5lb. Complete parts a through c below.

a. Find the probability that if an individual passenger is randomly selected, their weight will be greater than 166 lb __(Round to four decimal places as needed.)