Statistics › Normal distribution › Normal probabilities
Martian species height difference probability
High school · ●●●○○ 50 pts
Species 1 heights are normally distributed with mean 32 and variance 60. Species 2 heights are normally distributed with mean 22 and variance 70. A sample of 10 members of Species 1 and a sample of 14 members of Species 2 are drawn independently. Find the probability that the sample mean of Species 1 exceeds the sample mean of Species 2 by 5 or more. Round to three decimal places.