According to a recent report, 46% of the popualtion has a particular medical condition. In a random sample of n = 380 from this population', ¿what is the probability at least 43.3% of the sample will have the medical condition? P(p > 0.433) = Use the normal approximation to answer this question. "Note: The population is very large, and a sample of n = 380 represents far less than 0.01% of the entire population.

The yield in pounds from a day's production is normally distributed with a mean of 1500 pounds and standard deviation of 100 pounds. Assume that the yields on different days are independent random variables. What is the probability that the production yield exceeds 1400 pounds on at least four of the five days next week?

About 78% of all female heart transplant patients will survive for at least 3 years seventy female transplant patients are randonly selected. What is the probability that the sample proportion surving for at least 3 years will be less than 72%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pq/n. The probability that the sample proportion surviving for at least 3 years will be less than 72% is ____________. Round answer to four decimal places.

What is the probability that 46 cars chosen at random will have a mean load weight x of less than 85.5 tons of coal if the mean is 86 and standard deviation 1.4