Gold miners in Alaska have found,on average,12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of 3 ounces.Assume the amount of gold found per 1000 tons of dirt is normally distributed. What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
A) 0.0918
B) 0.4082
C) 0.5918
D) 0.9082

Question

Quizplus · Accepted Answer

To find the probability of finding more than 16 ounces, we calculate the z-score: z = (16 - 12) / 3 = 1.33. Using the standard normal distribution table, the probability of z being less than 1.33 is approximately 0.9082. Therefore, the probability of finding more than 16 ounces is 1 - 0.9082 = 0.0918.

Gold Miners in Alaska Have Found,on Average,12 Ounces of Gold