A person’s level of blood glucose and diabetes are closely r…

A person’s level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 108 and standard deviation of σ = 21. What is the probability that, for an adult after a 12-hour fast, x is more than 66? Round your answer to the nearest thousandth.

In one of the archaeological excavation sites, the artifact…

In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 2.0. Suppose you are going to dig up and examine 40 liters of sediment at this site. Let r = 0, 1, 2, 3,… be a random variable that represents the number of prehistoric artifacts found in your 40 liters of sediment. Identify λ. Round your answer to the nearest tenth.

There are 6 radar stations and the probability of a single r…

There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.55 and the probability of not detecting an enemy plane is 0.45. What is the probability that the number of stations that detect a plane is no more than 4? Round your answer to nearest hundredth.