Question: Sugar canes have lengths, X, that are normally distributed with mean 365.45 centimeters and standard deviation 4.9centimeters. What is the probability of the length of a randomly selected cane being between 360 and 370 centimeters?
Question: On average, 28 percent of 18 to 34 yearolds check their social media profiles before getting out of bed in the morning. Suppose this percentage follows a normal distribution with a random variable X, which has a standard deviation of five percent. Find the probability that the percent of 18 to 34 yearolds who check social media before getting out of bed in the morning is, at most, 32.
Question: In a survey of men aged 20-29 in a country, the mean height was 73.4 inches with a standard deviation of 2.7 inches. Find the minimum height in the top 10% of heights.
Question: Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean of μ=81 points and a standard deviation of σ=4 points. The middle 50% of the exam scores are between what two values?
